Computer Science NASC Seminar

Finite-difference Gaussian Rules for Dirichlet-to-Neumann Operators, Perfectly Matched Layers and Inverse Problems

Vladimir Druskin, Schlumberger Doll Research

April 18, 2014 10:00AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110
(Directions)

Spring 2014 NASC Seminars Calendar

Synopsis

The finite-difference Gaussian rules (a.k.a. spectrally-matched or optimal grids) were originally invented to obtain high accuracy of Dirichlet-to-Newman maps for truncation of unbounded computational domains. Their construction is mainly based on Stieltjes-Krein continued fraction technique. It yields spectral superconvergence at a priori chosen boundaries using simple standard staggered second order FV schemes. In particular, this approach showed good success in application to optimal discretization of perfectly matched layers and the finite-difference solution of the inverse EIT and wave problems. Contributors: Liliana Borcea, Stefan Guettel, David Ingerman, Leonid Knizhnerman, Alexander Mamonov, Shari Moskow, Fernando Guevara Vasques, Mikhail Zaslavsky


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