000			02130nam a22003615i 4500
001			91387
005			20231026104132.0
010			_a978-3-031-12616-1 _dcompra
090			_a91387
100			_a20231023d2022 k||y0pory50 ba
101	0		_aeng
102			_aCH
200	1		_aNumerical methods for mixed finite element problems _bDocumento eletrónico _eapplications to incompressible materials and contact problems _fby Jean Deteix, Thierno Diop, Michel Fortin
210			_aCham _cSpringer International Publishing _cSpringer _d2022
215			_aVI, 116 p. _cil.
225	2		_aLecture Notes in Mathematics _v2318
303			_aThis book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system. A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models. An account of the mixed formulation for Dirichlet's boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints. This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.
606			_aMathematics _xData processing
606			_aAlgorithms
606			_aEngineering mathematics
606			_aEngineering _xData processing
606			_aNumerical analysis
606			_aMechanics, Applied
606			_aSolids
680			_aQA71-90
700	1		_aDeteix _bJean
701	1		_aDiop _bThierno
701	1		_aFortin _bMichel
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-031-12616-1
942			_2lcc _cF _n0