Premium
High‐order continuous and discontinuous Galerkin methods for wave problems
Author(s) -
Giorgiani Giorgio,
Modesto David,
FernándezMéndez Sonia,
Huerta Antonio
Publication year - 2013
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3828
Subject(s) - discontinuous galerkin method , galerkin method , mathematics , order (exchange) , polynomial , mathematical analysis , finite element method , physics , finance , economics , thermodynamics
SUMMARY Three Galerkin methods—continuous Galerkin, Compact Discontinuous Galerkin, and hybridizable discontinuous Galerkin—are compared in terms of performance and computational efficiency in 2‐D scattering problems for low and high‐order polynomial approximations. The total number of DOFs and the total runtime are used for this correlation as well as the corresponding precision. The comparison is carried out through various numerical examples. The superior performance of high‐order elements is shown. At the same time, similar capabilities are shown for continuous Galerkin and hybridizable discontinuous Galerkin, when high‐order elements are adopted, both of them clearly outperforming compact discontinuous Galerkin. Copyright © 2013 John Wiley & Sons, Ltd.