Adaptive Grid Conference Edinburgh 96: carstensen Abstract

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Adaptive FEM for relaxed double-well minimization problem

C Carstensen

Mathematisches Seminar II der C-A-Universität zu Kiel
Ludewig-Meyn Str. 4, D-24098 KIEL

Abstract

The topic is motivated by the numerical analysis in phase transitions in the material science. After a brief introduction to non-convex minimization in the two-well problem, we consider the relaxed problem (RP) in a scalar model situation. The finite element discretization can be improved by adaptive mesh-refinments which are based on a posteriori error estimates of Carstensen and Plechac. We give an overview over such estimates an discuss further improvements. Numerical examples are included.

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