FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation
From MaRDI portal
Publication:4620316
DOI10.1137/17M1140522zbMATH Open1412.65189arXiv1806.09311OpenAlexW2909834897WikidataQ128563672 ScholiaQ128563672MaRDI QIDQ4620316
Author name not available (Why is that?)
Publication date: 8 February 2019
Published in: (Search for Journal in Brave)
Abstract: The Helmholtz scattering problem with high wave number is truncated by the perfectly matched layer (PML) technique and then discretized by the linear continuous interior penalty finite element method (CIP-FEM). It is proved that the truncated PML problem satisfies the inf--sup condition with inf--sup constant of order . Stability and convergence of the truncated PML problem are discussed. In particular, the convergence rate is twice of the previous result. The preasymptotic error estimates in the energy norm of the linear CIP-FEM as well as FEM are proved to be under the mesh condition that is sufficiently small. Numerical tests are provided to illustrate the preasymptotic error estimates and show that the penalty parameter in the CIP-FEM may be tuned to reduce greatly the pollution error.
Full work available at URL: https://arxiv.org/abs/1806.09311
No records found.
No records found.
This page was built for publication: FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4620316)
