An Object-Oriented Toolbox for Spectral Element Analysis

A common bottleneck for numericists is the complexity of the implementation programs. The usual procedural programming approach demands time and effort to program, develop, and test new formulations. This article addresses a particularly involved subject area, that of spectral element methods with m...

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Veröffentlicht in:Journal of scientific computing Jg. 14; H. 1; S. 1 - 29
Hauptverfasser: Dubois-Pelerin, Yves, van Kemenade, Vincent, Deville, Michel
Format: Journal Article
Sprache:Englisch
Veröffentlicht: London Plenum Publishing 01.03.1999
New York, NY Springer Nature B.V
Schlagworte:
Applied sciences
Computer science; control theory; systems
Exact sciences and technology
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Partial differential equations
Programming languages
Sciences and techniques of general use
Software
Conjugate gradient method
SPECtral Unstructured eLements Object Oriented System
Helmholtz equation
Programming
Computational mechanics
Spectral analysis
Partial differential equation
Navier Stokes equation
Object oriented
Parallelism
Spectral element method
Object oriented programming
Finite difference method
ISSN:0885-7474, 1573-7691
Online-Zugang:Volltext
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Abstract A common bottleneck for numericists is the complexity of the implementation programs. The usual procedural programming approach demands time and effort to program, develop, and test new formulations. This article addresses a particularly involved subject area, that of spectral element methods with mortars for large-scale applications. It is shown that the implementation burden can be alleviated by resorting to an object-oriented design approach. A toolbox consisting of a set of object-oriented classes is discussed. In order to solve a particular problem at hand, the user proceeds by creating an application where he/she loosely activates objects of the classes. When an operation exceeds the functionalities of the classes, the user can enrich these classes or create new ones. Practical examples are provided. Issues concerning computational efficiency and concurrent execution are addressed.
AbstractList A common bottleneck for numericists is the complexity of the implementation programs. The usual procedural programming approach demands time and effort to program, develop, and test new formulations. This article addresses a particularly involved subject area, that of spectral element methods with mortars for large-scale applications. It is shown that the implementation burden can be alleviated by resorting to an object-oriented design approach. A toolbox consisting of a set of object-oriented classes is discussed. In order to solve a particular problem at hand, the user proceeds by creating an application where he/she loosely activates objects of the classes. When an operation exceeds the functionalities of the classes, the user can enrich these classes or create new ones. Practical examples are provided. Issues concerning computational efficiency and concurrent execution are addressed.
Author van Kemenade, Vincent
Deville, Michel
Dubois-Pelerin, Yves
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  surname: Dubois-Pelerin
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  givenname: Vincent
  surname: van Kemenade
  fullname: van Kemenade, Vincent
– sequence: 3
  givenname: Michel
  surname: Deville
  fullname: Deville, Michel
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Cites_doi 10.1145/244768.244776
10.1007/BF01200200
10.1002/nme.1620070405
10.1016/0045-7949(91)90459-Y
10.4203/ccp.27.3.6
10.1016/0045-7825(93)90159-U
10.1016/0021-9991(84)90128-1
10.1016/0045-7949(94)90328-X
10.1016/0021-9991(91)90261-I
10.1007/BF01578382
10.1111/0885-9507.00048
10.1137/1.9781611970425
10.1108/02644409410799344
10.1016/S0045-7930(97)00060-1
10.1007/BF01350753
10.1006/jpdc.1994.1033
10.1016/B978-044482327-4/50076-0
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10.1016/S0045-7949(98)00054-6
10.1007/978-1-4612-1984-2_5
10.1007/978-1-4612-1986-6_2
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Issue 1
Keywords Conjugate gradient method
SPECtral Unstructured eLements Object Oriented System
Helmholtz equation
Programming
Computational mechanics
Spectral analysis
Partial differential equation
Navier Stokes equation
Object oriented
Parallelism
Spectral element method
Object oriented programming
Finite difference method
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Snippet A common bottleneck for numericists is the complexity of the implementation programs. The usual procedural programming approach demands time and effort to...
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SubjectTerms Applied sciences
Computer science; control theory; systems
Exact sciences and technology
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Partial differential equations
Programming languages
Sciences and techniques of general use
Software
Title An Object-Oriented Toolbox for Spectral Element Analysis
URI https://www.proquest.com/docview/2918309010
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