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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Bibliographic Details
Published in:Journal of scientific computing Vol. 14; no. 1; pp. 1 - 29
Main Authors: Dubois-Pelerin, Yves, van Kemenade, Vincent, Deville, Michel
Format: Journal Article
Language:English
Published: London Plenum Publishing 01.03.1999
New York, NY Springer Nature B.V
Subjects:
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 Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0885-7474
1573-7691
DOI:10.1023/A:1025677921253