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Adaptive finite element approximation of multiphysics problems

โœ Scribed by Larson, Mats G. ;Bengzon, Fredrik

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
256 KB
Volume
24
Category
Article
ISSN
1069-8299

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โœฆ Synopsis

Abstract

Simulation of multiphysics problems is a common task in applied research and industry. Often a multiphysics solver is built by connecting several singleโ€physics solvers into a network. In this paper, we develop a basic adaptive methodology for such multiphysics solvers. The adaptive methodology is based on a posteriori error estimates that capture the influence of the discretization errors in the different solvers on a given functional output. These estimates are derived using dualityโ€based techniques. Copyright ยฉ 2007 John Wiley & Sons, Ltd.

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An adaptive finite element approach for
An adaptive finite element approach for frictionless contact problems
โœ Gustavo C. Buscaglia; Ricardo Durรกn; Eduardo A. Fancello; Raรบl A. Feijรณo; Claudi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 880 KB

The derivation of an a posteriori error estimator for frictionless contact problems under the hypotheses of linear elastic behaviour and inรฟnitesimal deformation is presented. The approximated solution of this problem is obtained by using the รฟnite element method. A penalization or augmented-Lagrang