Least-squares variational principles and the finite element method: theory, formulations, and models for solid and fluid mechanics

We consider the application of least-squares variational principles and the finite element method to the numerical solution of boundary value problems arising in the fields of solid and fluid mechanics. For many of these problems least-squares principles offer many theoretical and computational adva...

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Bibliographic Details
Published in:	Finite elements in analysis and design Vol. 41; no. 7; pp. 703 - 728
Main Author:	Pontaza, J.P.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Amsterdam Elsevier B.V 01.04.2005 Elsevier
Subjects:	Compressible flow Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) General theory Incompressible flow Least-squares finite element formulations Physics Plates Shells Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Shells Incompressible flow Compressible flow Plates Least-squares finite element formulations Compressible fluid Fluid mechanics Unconstrained optimization Viscous fluid Shear flow Modeling Geometrical model Plate Finite element method Shell Boundary value problem Weak solution Least squares method Linear algebra Variational calculus Galerkin method Incompressible fluid Structural analysis Viscous flow
ISSN:	0168-874X, 1872-6925
Online Access:	Get full text
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