Assyr Abdulle
Institute
EPFL Swiss Federal Institute of Technology
Address
Section of Mathematics
Ecole Polytechnique Fédérale de Lausanne
Station 8
1015 Lausanne, Suisse
Presentation
oral
(Plenary talk)
Title
A posteriori error analysis of the finite element heterogeneous multiscale method
Abstract
In this talk we discuss a numerical method, the so-called finite element heterogeneous multiscale method (FE-HMM), for the simulation of partial differential equations with multiple scales.
In this method, the effective problem is directly discretized in a macroscopic finite element space. The fine-scale of the problem are accounted for in the macro-stiffness matrix by solving (on the fly) micro-problems in a scale-independent fixed-size domain within each macro-element.
After reviewing some a priori error estimates, we will present recent results on a posteriori error analysis of the FE-HMM obtained for multiscale elliptic problems.
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