Adaptive finite element approximation of multiphysics problems

Communications in Numerical Methods in Engineering

Volumn 24, Issue 6, 2008, Pages 505-521

  Larson, Mats G ^a   Bengzon, Fredrik ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

Error estimation; MEMS; Multiphysics problems

Indexed keywords

ESTIMATION; FINITE ELEMENT METHOD;

A POSTERIORI ERROR ESTIMATES; ADAPTIVE FINITE ELEMENTS; APPLIED RESEARCH; DISCRETIZATION ERRORS; MULTI-PHYSICS; MULTI-PHYSICS PROBLEMS;

ERROR ANALYSIS;

EID: 48949117311     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.1087     Document Type: Conference Paper

References (5)

1. Bangerth W, Rannacher R. Adaptive Finite Element Methods for Differential Equations. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag: Basel, 2003.
2. Eriksson K, Estep D, Hansbo P, Johnson C. Introduction to adaptive methods for differential equations. Acta Numerica 1995; 4:105-158.
3. Estep DJ, Larson MG, Williams RD. Estimating the error of numerical solutions of systems of reaction-diffusion equations. Memoirs of the American Mathematical Society 2000; 146(696):viii+109.
4. Grätsch T, Bathe K-J. Goal-oriented error estimation in the analysis of fluid flows with structural interactions. Computer Methods in Applied Mechanics and Engineering 2006; 195:5673-5684.
5. Larson MG, Målqvist A. Goal oriented adaptivity for coupled flow and transport problems with applications in oil reservoir simulation. Computer Methods in Applied Mechanics and Engineering 2007; 196(37-40):3546-3561.