High Frequency Wave Propagation

CSIC Building (#406), Seminar Room 4122.
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Computational High-Frequency Wave Propagation Using the Level Set Method

Hailiang Liu

Department of Mathematics at Iowa State University

Abstract:  This talk will review several level set formulations recently developed for the computation of multi-valued solutions for a class of first-order evolution equations, and their applications to the computation of high frequency waves. The main idea is to identify the multi-valued geometrical quantities implicitly in a selected augmented space (phase, jet or field space), based on which multi-valued physical observables are further evaluated by pro- jection. We will also discuss the relation of computed solution to the usual entropy/viscosity solution.