Cumincad : CUMINCAD Papers : Search Results

CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

PDF papers
References

Hits 1 to 20 of 76

Reformat results as: short short into frame detailed detailed into frame

_id	aed6
authors	Hofstadter, Douglas R.
year	1982
title	Metafont, Metamathematics, and Metaphysics
source	23, [38] p. : ill. Bloomington: Computer Science Department, Indiana University, december, 1982. Technical report No. 136. includes bibliography.--- Comments on Donald Knuth's Article 'The Concept of a Meta-Font.' --- See also Donald Knuth's 'The Concept of a Meta-Font,' Visible Language, (Winter 1982), vol. XVI, no. 1, pp. 3-27
summary	It is argued that readers are likely to carry away from Donald Knuth's article 'The Concept of a Meta-Font' a falsely optimistic view of the extent to which the design of typefaces and letterforms can be mechanized through an approach depending on describing letterforms by specifying the settings of a large number of parameters. Through a comparison to mathematical logic, it is argued that no such set of parameters can capture the essence of any semantic category. Some different ways of thinking about the problem of the 'spirit' residing behind any letterform are suggested, connecting to current research issues in the field of artificial intelligence
keywords	languages, AI, parametrization
series	CADline
last changed	2003/06/02 13:58

_id	5509
authors	Koutamanis, Alexandros
year	1990
title	Development of a computerized handbook of architectural plans
source	Delft University of Technology
summary	The dissertation investigates an approach to the development of visual / spatial computer representations for architectural purposes through the development of the computerized handbook of architectural plans (chap), a knowledge-based computer system capable of recognizing the metric properties of architectural plans. This investigation can be summarized as an introduction of computer vision to the computerization of architectural representations: chap represents an attempt to automate recognition of the most essential among conventional architectural drawings, floor plans. The system accepts as input digitized images of architectural plans and recognizes their spatial primitives (locations) and their spatial articulation on a variety of abstraction levels. The final output of chap is a description of the plan in terms of the grouping formations detected in its spatial articulation. The overall structure of the description is based on an analysis of its conformity to the formal rules of its “stylistic” context (which in the initial version of chap is classical architecture). Chapter 1 suggests that the poor performance of computerized architectural drawing and design systems is among others evidence of the necessity to computerize visual / spatial architectural representations. A recognition system such as chap offers comprehensive means for the investigation of a methodology for the development and use of such representations. Chapter 2 describes a fundamental task of chap: recognition of the position and shape of locations, the atomic parts of the description of an architectural plan in chap. This operation represents the final and most significant part of the first stage in processing an image input in machine environment. Chapter 3 moves to the next significant problem, recognition of the spatial arrangement of locations in an architectural plan, that is, recognition of grouping relationships that determine the subdivision of a plan into parts. In the absence of systematic and exhaustive typologic studies of classical architecture that would allow us to define a repertory of the location group types possible in classical architectural plans, Chapter 3 follows a bottom-up approach based on grouping relationships derived from elementary architectural knowledge and formalized with assistance from Gestalt theory and its antecedents. The grouping process described in Chapter 3 corresponds both in purpose and in structure to the derivation of a description of an image in computer vision [Marr 1982]. Chapter 4 investigates the well-formedness of the description of a classical architectural plan in an analytical manner: each relevant level (or sublevel) of the classical canon according to Tzonis & Lefaivre [1986] is transformed into a single group of criteria of well-formedness which is investigated independently. The hierarchical structure of the classical canon determines the coordination of these criteria into a sequence of cognitive filters which progressively analyses the correspondence of the descriptions derived as in Chapter 3 to the constraints of the canon. The methodology and techniques presented in the dissertation are primarily considered with respect to chap, a specific recognition system. The resulting specification of chap gives a measure of the use of such a system within the context of a computerized collection of architectural precedents and also presents several extensions to other areas of architecture. Although these extensions are not considered as verifiable claims, Chapter 5 describes some of their implications, including on the role of architectural drawing in computerized design systems, on architectural typologies, and on the nature and structure of generative systems in architecture.
series	thesis:PhD
email
last changed	2003/02/12 22:37

_id	avocaad_2001_16
id	avocaad_2001_16
authors	Yu-Ying Chang, Yu-Tung Liu, Chien-Hui Wong
year	2001
title	Some Phenomena of Spatial Characteristics of Cyberspace
source	AVOCAAD - ADDED VALUE OF COMPUTER AIDED ARCHITECTURAL DESIGN, Nys Koenraad, Provoost Tom, Verbeke Johan, Verleye Johan (Eds.), (2001) Hogeschool voor Wetenschap en Kunst - Departement Architectuur Sint-Lucas, Campus Brussel, ISBN 80-76101-05-1
summary	"Space," which has long been an important concept in architecture (Bloomer & Moore, 1977; Mitchell, 1995, 1999), has attracted interest of researchers from various academic disciplines in recent years (Agnew, 1993; Benko & Strohmayer, 1996; Chang, 1999; Foucault, 1982; Gould, 1998). Researchers from disciplines such as anthropology, geography, sociology, philosophy, and linguistics regard it as the basis of the discussion of various theories in social sciences and humanities (Chen, 1999). On the other hand, since the invention of Internet, Internet users have been experiencing a new and magic "world." According to the definitions in traditional architecture theories, "space" is generated whenever people define a finite void by some physical elements (Zevi, 1985). However, although Internet is a virtual, immense, invisible and intangible world, navigating in it, we can still sense the very presence of ourselves and others in a wonderland. This sense could be testified by our naming of Internet as Cyberspace -- an exotic kind of space. Therefore, as people nowadays rely more and more on the Internet in their daily life, and as more and more architectural scholars and designers begin to invest their efforts in the design of virtual places online (e.g., Maher, 1999; Li & Maher, 2000), we cannot help but ask whether there are indeed sensible spaces in Internet. And if yes, these spaces exist in terms of what forms and created by what ways?To join the current interdisciplinary discussion on the issue of space, and to obtain new definition as well as insightful understanding of "space", this study explores the spatial phenomena in Internet. We hope that our findings would ultimately be also useful for contemporary architectural designers and scholars in their designs in the real world.As a preliminary exploration, the main objective of this study is to discover the elements involved in the creation/construction of Internet spaces and to examine the relationship between human participants and Internet spaces. In addition, this study also attempts to investigate whether participants from different academic disciplines define or experience Internet spaces in different ways, and to find what spatial elements of Internet they emphasize the most.In order to achieve a more comprehensive understanding of the spatial phenomena in Internet and to overcome the subjectivity of the members of the research team, the research design of this study was divided into two stages. At the first stage, we conducted literature review to study existing theories of space (which are based on observations and investigations of the physical world). At the second stage of this study, we recruited 8 Internet regular users to approach this topic from different point of views, and to see whether people with different academic training would define and experience Internet spaces differently.The results of this study reveal that the relationship between human participants and Internet spaces is different from that between human participants and physical spaces. In the physical world, physical elements of space must be established first; it then begins to be regarded as a place after interaction between/among human participants or interaction between human participants and the physical environment. In contrast, in Internet, a sense of place is first created through human interactions (or activities), Internet participants then begin to sense the existence of a space. Therefore, it seems that, among the many spatial elements of Internet we found, "interaction/reciprocity" Ñ either between/among human participants or between human participants and the computer interface Ð seems to be the most crucial element.In addition, another interesting result of this study is that verbal (linguistic) elements could provoke a sense of space in a degree higher than 2D visual representation and no less than 3D visual simulations. Nevertheless, verbal and 3D visual elements seem to work in different ways in terms of cognitive behaviors: Verbal elements provoke visual imagery and other sensory perceptions by "imagining" and then excite personal experiences of space; visual elements, on the other hand, provoke and excite visual experiences of space directly by "mapping".Finally, it was found that participants with different academic training did experience and define space differently. For example, when experiencing and analyzing Internet spaces, architecture designers, the creators of the physical world, emphasize the design of circulation and orientation, while participants with linguistics training focus more on subtle language usage. Visual designers tend to analyze the graphical elements of virtual spaces based on traditional painting theories; industrial designers, on the other hand, tend to treat these spaces as industrial products, emphasizing concept of user-center and the control of the computer interface.The findings of this study seem to add new information to our understanding of virtual space. It would be interesting for future studies to investigate how this information influences architectural designers in their real-world practices in this digital age. In addition, to obtain a fuller picture of Internet space, further research is needed to study the same issue by examining more Internet participants who have no formal linguistics and graphical training.
series	AVOCAAD
email
last changed	2005/09/09 10:48

_id	8a88
authors	Anderson, David P.
year	1982
title	Hidden Line Elimination in Projected Grid Surfaces
source	ACM Transactions on Graphics. October, 1982. vol. 1: pp. 274-288 : ill. includes a short bibliography
summary	The hidden line and hidden surface problems are simpler when restricted to special classes of objects. An example is the class of grid surfaces, that is, graphs of bivariate functions represented by their values on a set of grid points. Projected grid surfaces have geometric properties which permit hidden line or hidden surface elimination to be done more easily than in the general case. These properties are discussed in this paper, and an algorithm is given which exploits them
keywords	algorithms, hidden lines, hidden surfaces, grids, computer graphics
series	CADline
last changed	2003/06/02 10:24

_id	2045
authors	Balas, Egon
year	1982
title	A Class of Location, Distribution and Scheduling Problems : Modeling and Solution Methods
source	21 p., 8 + 4 p. of appendix : ill. Carnegie Mellon University, Pittsburgh, PA: Design Research Center, December, 1982. includes bibliography
summary	Discusses the potential of set covering techniques. Illustrates problem formulation techniques on several important classes of real-world problems. Also describes a class of algorithms for solving set covering problems, based on cutting planes, heuristics and subgradient optimization
keywords	problem solving, methods, algorithms, problem definition, modeling, optimization, operations research
series	CADline
last changed	1999/02/12 15:07

_id	898a
authors	Bay, J.H.
year	2002
title	Cognitive Biases and Precedent Knowledge in Human and Computer-Aided Design Thinking
source	CAADRIA 2002 [Proceedings of the 7th International Conference on Computer Aided Architectural Design Research in Asia / ISBN 983-2473-42-X] Cyberjaya (Malaysia) 18–20 April 2002, pp. 213-220
doi	https://doi.org/10.52842/conf.caadria.2002.213
summary	Cognitive biases (illusions) and potential errors can occur when using precedent knowledge for analogical, pre-parametric and qualitative design thinking. This paper refers largely to part of a completed research (Bay 2001) on how heuristic biases, discussed by Tversky and Kahneman (1982) in cognitive psychology, can affect judgement and learning of facts from precedents in architectural design, made explicit using a kernel of conceptual system (Tzonis et. al., 1978) and a framework of architectural representation (Tzonis 1992). These are used here to consider how such illusions and errors may be transferred to computer aided design thinking.
series	CAADRIA
email
last changed	2022/06/07 07:54

_id	cf2003_m_040
id	cf2003_m_040
authors	BAY, Joo-Hwa
year	2003
title	Making Rebuttals Available Digitally for Minimising Biases in Mental Judgements
source	Digital Design - Research and Practice [Proceedings of the 10th International Conference on Computer Aided Architectural Design Futures / ISBN 1-4020-1210-1] Tainan (Taiwan) 13–15 October 2003, pp. 147-156
summary	The problem of heuristic biases (illusions) discussed by Tversky and Kahneman (1982) that can lead to errors in judgement by human designers, when they use precedent knowledge presented graphically (Bay 2001). A Cognitive framework of belief, goal, and decision, and a framework of representation of architectural knowledge by Tzonis are used to map out the problem of heuristic biases in the human mind. These are used to discuss what aspects of knowledge can be presented explicitly and digitally to users to make rebuttal more available for human thinking at the cognitive level. The discussion is applicable to both inductive and analytic digital knowledge systems that use precedent knowledge. This discussion is targeted directly at means of addressing bias in the human mind using digital means. The problem of human bias in machine learning and generalisation are discussed in a different paper, and the problems of international or non-intentional machine bias are not part of discussion in this paper.
keywords	analogy, bias, design thinking, environmental design, heuristics
series	CAAD Futures
last changed	2003/11/22 07:26

_id	1b10
id	1b10
authors	Bay, Joo-Hwa
year	2001
title	Cognitive Biases - The case of tropical architecture
source	Delft University of Technology
summary	This dissertation investigates, i) How cognitive biases (or illusions) may lead to errors in design thinking, ii) Why architects use architectural precedents as heuristics despite such possible errors, and iii) Develops a design tool that can overcome this type of errors through the introduction of a rebuttal mechanism. The mechanism controls biases and improves accuracy in architectural thinking. // The research method applied is interdisciplinary. It employs knowledge from cognitive science, environmental engineering, and architectural theory. The case study approach is also used. The investigation is made in the case of tropical architecture. The investigation of architectural biases draws from work by A. Tversky and D. Kahneman in 1982 on “Heuristics and biases”. According to Tversky and Kahneman, the use of heuristics of representativeness (based on similarity) and availability (based on ease of recall and imaginability) for judgement of probability can result in cognitive biases of illusions of validity and biases due to imaginability respectively. This theory can be used analogically to understand how errors arise in the judgement of environmental behaviour anticipated from various spatial configurations, leading to designs with dysfunctional performances when built. Incomplete information, limited time, and human mental resources make design thinking in practice difficult and impossible to solve. It is not possible to analyse all possible alternative solutions, multiple contingencies, and multiple conflicting demands, as doing so will lead to combinatorial explosion. One of the ways to cope with the difficult design problem is to use precedents as heuristic devices, as shortcuts in design thinking, and at the risk of errors. This is done with analogical, pre-parametric, and qualitative means of thinking, without quantitative calculations. Heuristics can be efficient and reasonably effective, but may not always be good enough or even correct, because they can have associated cognitive biases that lead to errors. Several debiasing strategies are discussed, and one possibility is to introduce a rebuttal mechanism to refocus the designer’s thinking on the negative and opposite outcomes in his judgements, in order to debias these illusions. The research is carried out within the framework of design theory developed by the Design Knowledge System Research Centre, TUDelft. This strategy is tested with an experiment. The results show that the introduction of a rebuttal mechanism can debias and improve design judgements substantially in environmental control. The tool developed has possible applications in design practice and education, and in particular, in the designing of sustainable environments.
keywords	Design bias; Design knowledge; Design rebuttal; Design Precedent; Pre-parametric design; Tropical architecture; Sustainability
series	thesis:PhD
type	normal paper
email
last changed	2006/05/28 07:42

_id	6094
authors	Blinn, J.I.
year	1982
title	A Generalization of Algebraic Surface Drawing
source	ACM Transaction on Graphics, vol. 1, no. 3, pp. 235-256, 1982
summary	The technology of creating realistic and visually interesting images of three- dimensional shapes is advancing on many fronts. One such front is the develop- ment of algorithms for drawing curved surfaces directly from their mathematical definitions rather than by dividing them into large numbers of polygons. Two classes of surfaces which have received attention are the quadric and the bivariate parametric surfaces. Bivariate parametric surfaces are generated by three func- tions of two variables (most popularly polynomials), as the variables take on different values. Algorithms dealing with such surfaces are due to Catmull; Lane, Carpenter, Whitted and Blinn; and Clark.
series	journal paper
last changed	2003/11/21 15:16

_id	8239
authors	Campello, Ruy Eduardo and Maculan, Nelson
year	1982
title	On Deep Disjunctive Cutting Planes for Set Partitioning : A Computationally Oriented Research.
source	Pittsburgh: Design Research Center, CMU [DRC-70-11-82], 10 p.
summary	Several mathematical programming problems can be formulated as Disjunctive Programming Problems. This approach offers a powerful procedure for the generation of new and strong cutting planes with desirable properties. For general integer programs, the traditional cutting plane methodologies proved less efficient than enumerative techniques. However, for certain classes of problems, such as set partitioning, cutting planes are known to be efficient. Since the disjunctive cuts are strong, they can be expected to perform better. This paper reports on computational results with disjunctive B(.) cuts for the set partitioning problem, evaluated in terms of computer resources and other independent measures in solving specific randomly generated test problems under controlled conditions. [includes bibliography].
keywords	Mathematics, Operations Research, Integer Programming, Optimization
series	CADline
last changed	1999/02/15 15:17

_id	66df
authors	Cendes, Z.J., Minhas, F.U. and Silvester, P.P.
year	1982
title	Universal Finite Element Matrices for Tetrahedra
source	45, [22] p Pittsburgh: Design Research Center, CMU, December, 1982. DRC- 18-58-82. includes bibliography.
summary	Methods are described for forming finite element matrices for a wide variety of operators on tetrahedral finite elements, in a manner similar to that previously employed for line segments and triangles. This technique models the differentiation and product-embedding operators as rectangular matrices, and produces finite element matrices by replacing all required analytic operations by their finite matrix analogues. The method is illustrated by deriving the conventional matrix representation for Laplace's equation. Brief computer programs are given, which generate universal finite element matrices for use in various applications
keywords	mathematics, computational geometry, finite elements, analysis
series	CADline
last changed	2003/06/02 13:58

_id	89e4
authors	Cendes, Z.J., Shenton, D. and H. Shahnasser
year	1982
title	Adaptive Finite Element Mesh Generation Using the Delaunay Algorithm
source	3 p. : ill. Pittsburgh: Design Research Center, CMU, December, 1982
summary	Includes bibliography. A two-dimensional generator is described which automatically creates optimal finite element meshes using the Delaunay triangulation algorithm. The mesh generator is adaptive in the sense that elements containing the largest normalized errors are automatically refined, providing meshes with a uniform error density. The system runs on a PERQ computer made by Three Rivers Computer Company. It is menu oriented and utilizes multiple command and display windows to create and edit the object description interactively. Mesh generation from the object data base is automatic, although it may be modified interactively by the user if desired. Application of the mesh generator to electric machine design and to magnetic bubble simulation shows it to be one of the most powerful and easy to use systems yet devised
keywords	electrical engineering, triangulation, algorithms, OOPS, finite elements, analysis
series	CADline
last changed	2003/06/02 13:58

_id	666c
authors	Clark, K. and Tarnlund, S. (eds.)
year	1982
title	Logic Programming
source	366 p
summary	Orlando, Florida: Academic Press,Inc., 1982. includes bibliography and index p. [341]-361. Based on the proceedings of the first international workshop on logic programming held in Debrecen, Hungry. ( A.P.I.C. Studies in Data Processing No.16). The 23 papers cover issues like application of logic programming, implementation, control, and understanding natural languages
keywords	techniques, programming, logic, languages, symbolic, AI
series	CADline
last changed	2002/12/13 15:23

_id	adcd
authors	Cohen, Paol R. and Feigenbaum, Edward A. (editors)
year	1982
title	The Handbook of Artificial Intelligence
source	xviii, 639 p. Stanford, California: HeurisTech Press, 1982. vol. 3: See The Handbook of Artificial intelligence edited by Avron, Barr and Feigenbaum, Edward. Includes bibliography p. 565-586 and cumulative indexes
summary	Part of three volumes, this volume contains chapters on models of cognition, automatic deduction, vision, learning and planning
keywords	AI, deduction, learning, cognition, planning
series	CADline
last changed	2003/06/02 13:58

_id	482a
authors	Cole, Sam
year	1982
title	A Microprocessor Revolution and the World Distribution of Income: A General Equilibrium Approach
source	International Political Science Review. 1982. vol.3: pp. 434- 454 ; ill. includes bibliography
summary	This article shows that even if the world economy is able to withstand and surmount the present world crisis, the combination of market forces and rapid technical change that would be the result of a microprocessor revolution will give rise to large shifts in the distribution of income within and between both rich and poor countries. Some developed and developing economies may be unable to join the move to new technologies. In a world governed by only economic forces, all countries, whether they choose to adopt new systems of production or not, will be affected. Indeed, whatever their degree of involvement, all countries are beginning to feel in varying degrees the chain reaction that reverberates through and between all sectors of their domestic and the world economies. To gain insights into interrelations between technological change and global markets, this article uses a special type of model -- a general equilibrium model -- that enables the study to focus on exactly these variables
keywords	technology, economics
series	CADline
last changed	1999/02/12 15:07

_id	sigradi2006_e183a
id	sigradi2006_e183a
authors	Costa Couceiro, Mauro
year	2006
title	La Arquitectura como Extensión Fenotípica Humana - Un Acercamiento Basado en Análisis Computacionales [Architecture as human phenotypic extension – An approach based on computational explorations]
source	SIGraDi 2006 - [Proceedings of the 10th Iberoamerican Congress of Digital Graphics] Santiago de Chile - Chile 21-23 November 2006, pp. 56-60
summary	The study describes some of the aspects tackled within a current Ph.D. research where architectural applications of constructive, structural and organization processes existing in biological systems are considered. The present information processing capacity of computers and the specific software development have allowed creating a bridge between two holistic nature disciplines: architecture and biology. The crossover between those disciplines entails a methodological paradigm change towards a new one based on the dynamical aspects of forms and compositions. Recent studies about artificial-natural intelligence (Hawkins, 2004) and developmental-evolutionary biology (Maturana, 2004) have added fundamental knowledge about the role of the analogy in the creative process and the relationship between forms and functions. The dimensions and restrictions of the Evo-Devo concepts are analyzed, developed and tested by software that combines parametric geometries, L-systems (Lindenmayer, 1990), shape-grammars (Stiny and Gips, 1971) and evolutionary algorithms (Holland, 1975) as a way of testing new architectural solutions within computable environments. It is pondered Lamarck´s (1744-1829) and Weismann (1834-1914) theoretical approaches to evolution where can be found significant opposing views. Lamarck´s theory assumes that an individual effort towards a specific evolutionary goal can cause change to descendents. On the other hand, Weismann defended that the germ cells are not affected by anything the body learns or any ability it acquires during its life, and cannot pass this information on to the next generation; this is called the Weismann barrier. Lamarck’s widely rejected theory has recently found a new place in artificial and natural intelligence researches as a valid explanation to some aspects of the human knowledge evolution phenomena, that is, the deliberate change of paradigms in the intentional research of solutions. As well as the analogy between genetics and architecture (Estévez and Shu, 2000) is useful in order to understand and program emergent complexity phenomena (Hopfield, 1982) for architectural solutions, also the consideration of architecture as a product of a human extended phenotype can help us to understand better its cultural dimension.
keywords	evolutionary computation; genetic architectures; artificial/natural intelligence
series	SIGRADI
email
last changed	2016/03/10 09:49

_id	e7b8
authors	Dahl, Veronica
year	1983
title	Logic Programming as a Representation of Knowledge
source	IEEE Computer. IEEE Computer Society, October, 1983. vol. 16: pp. 106-110 : ill. includes bibliography
summary	Logic has traditionally provided a firm conceptual framework for representing knowledge. As it can formally deal with the notion of logical consequence, the introduction of Prolog has made it possible to represent knowledge in terms of logic and also to expect appropriate inferences to be drawn from it automatically. This article illustrates and explores these ideas with respect to two central representational issues: problem solving knowledge and database knowledge. The technical aspects of both subjects have been covered elsewhere (Kowalski, R. Logic for problem solving, North- Holland pub. 1979 ; Dahl, V. on database system development through logic ACM Trans.vol.7/no.3/Mar.1982 pp.102). This explanation uses simple, nontechnical terms
keywords	PROLOG, knowledge, representation, logic, programming, problem solving, database
series	CADline
last changed	1999/02/12 15:08

_id	0650
authors	Fenves, Stephen J. and Rasdorf, William J.
year	1982
title	Role of Database Management Systems in Structural Engineering
source	15 p.: ill Pittsburgh: Design Research Center, CMU, December, 1982. includes bibliography.
summary	--- Presented at International Association of Bridge and Structural Engineers Symposium on Informatics in Structural Engineering.(1982 : Bergamo, Italy). The future integration of structural engineering application programs will depend critically on integrated databases which provide access to information in essentially arbitrary sequences, and which automatically perform a large portion of integrity checking on the data. One source of such design databases are the database management systems (DBMS) evolving from management applications. The paper surveys such systems and presents some extensions needed
keywords	integration, database, DBMS, systems, civil engineering
series	CADline
last changed	2003/06/02 10:24

_id	8d70
authors	Fenves, Stephen J.
year	1982
title	A Note on Flow Networks and Structures
source	Pittsburgh: Design Research Center, CMU, April, 1982. 7, [11] p. : ill
summary	The purpose of this note is to explore certain common features of flow and structural networks, in terms of the effect of the (usually implicit) global equilibrium equations on the range of problems amenable to analysis. The objective is to extend the standard analysis problem and explore the possibility of 'tuning' flow and structural networks by preassigning values of certain inflow and reaction components
keywords	networks, civil engineering, structures, analysis
series	CADline
last changed	2003/06/02 10:24

_id	ad2e
authors	Fix, George J. and Gunzburger, Max D.
year	1982
title	On Numerical Methods for Acoustic Problems
source	14 p. : ill. Pittsburgh: Design Research Center, CMU, April, 1982. include bibliography: p. 12
summary	Finite element methods are introduced for the approximate solution of periodic acoustic problems. A least squares technique is used for those problems which are governed by a first order system of partial differential equations while for second order equations, a Galerkin/multigrid technique is employed. In both cases, the solution process for the algebraic system resulting from discretization is iterative in character
keywords	acoustics, finite elements, mathematics
series	CADline
last changed	2003/06/02 10:24

For more results click below: