Numerical Analysis Seminar

Date: November 6, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Simon Pun, TAMU

Title: Computational multiscale methods for first-order wave equation

Abstract: In this talk, we present a pressure-velocity formulation of the heterogeneous wave equation and employ the constraint energy minimizing generalized multiscale finite element method to solve this problem. The proposed method provides a flexible framework to construct crucial multiscale basis functions for approximating the pressure and velocity. These basis functions are constructed by solving a class of local auxiliary optimization problems over the eigenspaces that contain local information on the heterogeneity. Techniques of oversampling are adapted to enhance the computational performance. The first-order convergence of the proposed method is proved and illustrated by several numerical tests.