Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4963966 | Computer Methods in Applied Mechanics and Engineering | 2017 | 18 Pages |
Abstract
This paper is concerned with an interior penalty discontinuous Galerkin (IPDG) method based on a flexible type of non-polynomial local approximation space for the Helmholtz equation with varying wavenumber. The local approximation space consists of multiple polynomial-modulated phase functions which can be chosen according to the phase information of the solution. We obtain some approximation properties for this space and a prioriL2 error estimates for the h-convergence of the IPDG method using duality argument. We also provide ample numerical examples to show that, building phase information into the local spaces often gives more accurate results comparing to using the standard polynomial spaces.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Chi Yeung Lam, Chi-Wang Shu,