Session S02 - Diverse Aspects of Elliptic PDEs and Related Problems

Wednesday, July 21, 17:00 ~ 17:30 UTC-3

Efficient Numerical Treatment of High-Contrast Composite Materials

Yuliya Gorb

National Science Foundation, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

This talk concerns a robust numerical treatment of an elliptic PDE with high contrast coefficients. We introduce a procedure by which a discrete system obtained from a linear finite element discretization of the given continuum problem is converted into an equivalent linear system of the saddle point type. Preconditioners for solving the derived saddle point problem that are robust with respect to the contrast parameter and the discretization scale are proposed and justified.

Joint work with Yuri Kuznetsov (University of Houston).

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