CrossRef Open Access 2013 1 sitasi

DG and <i>hp</i>‐DG for highly indefinite Helmholtz problems

Jens Markus Melenk Asieh Parsania Stefan Sauter

Lihat Sumber DOI

Abstrak

AbstractWe develop a stability and convergence theory for a Discontinuous Galerkin formulation (DG) of a highly indefinite Helmholtz problem in ${\rm I\!R}^d, d \in \{2,3\}$. We prove that the DG‐method admits a unique solution under much weaker conditions than for conventional Galerkin methods. It is shown that for the case of hp‐DGFEM the optimal convergence order estimate can be obtained under the conditions that $kh/\sqrt{p}$ is sufficiently small and the polynomial degree p is at least O(log k). (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Penulis (3)

Jens Markus Melenk

Asieh Parsania

Stefan Sauter

Format Sitasi

APA MLA BibTeX

Melenk, J.M., Parsania, A., Sauter, S. (2013). DG and <i>hp</i>‐DG for highly indefinite Helmholtz problems. https://doi.org/10.1002/pamm.201310215

Akses Cepat

Lihat di Sumber doi.org/10.1002/pamm.201310215

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Total Sitasi: 1×
Sumber Database: CrossRef
DOI: 10.1002/pamm.201310215
Akses: Open Access ✓