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Aspects of Adaptive Remeshing Techniques in Finite Elasticity
Author(s) -
Koch A.,
Miehe C.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200008014136
Subject(s) - finite element method , elasticity (physics) , a priori and a posteriori , estimator , mathematical optimization , nonlinear system , nonlinear elasticity , linear elasticity , boundary value problem , mathematics , computer science , mathematical analysis , structural engineering , engineering , philosophy , statistics , materials science , physics , epistemology , quantum mechanics , composite material
One of the major difficulties in applying the finite element method to boundary value problems of finite elasticity is the design of a suitable mesh in order to maximize the accuracy of the solution and to minimize the numerical cost. The basic problem in this context is the error estimation of the nonlinear problem. Our aim is to present possible a posteriori error estimators for finite elasticity which operate in the linear tangential space of the nonlinear problem.