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A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics

de Almeida, J. P. Moitinho

International journal for numerical methods in engineering, 2013-06, Vol.94 (10), p.961-984 [Periódico revisado por pares]

Chichester: Blackwell Publishing Ltd

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Título:
A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics
Autor: de Almeida, J. P. Moitinho
Assuntos: Approximation ; Convergence ; Decomposition ; error bounds ; error estimation ; Errors ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; local outputs ; Mathematical models ; Mathematics ; model reduction ; Numerical analysis ; Numerical analysis. Scientific computation ; Partial differential equations, initial value problems and time-dependant initial-boundary value problems ; Physics ; Proper Generalized Decomposition ; Reproduction ; Sciences and techniques of general use ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Structural and continuum mechanics ; verification
É parte de: International journal for numerical methods in engineering, 2013-06, Vol.94 (10), p.961-984
Notas: ArticleID:NME4490
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ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
Descrição: SUMMARYThis paper presents an approach that extends the classical error bounding techniques to parametric models. It departs from appropriate pairs of complementary solutions of a linear elastic problem, obtained using a Proper Generalised Decomposition methodology, to determine approximations of selected local outputs and strict bounds of the error of these approximations. The paper starts by presenting the procedures used to obtain the complementary solutions. The properties, the convergence characteristics of the global error and the determination of an indicator of the error distribution are illustrated for a very simple example. The demonstration of the procedure used for determining local outputs and their bounds, also accompanied by illustrative examples, completes the paper.Copyright © 2013 John Wiley & Sons, Ltd.
Editor: Chichester: Blackwell Publishing Ltd
Idioma: Inglês

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A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics

de Almeida, J. P. Moitinho

Chichester: Blackwell Publishing Ltd

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