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Solving Interface Problems of the Helmholtz Equation by Immersed Finite Element Methods
- Source :
- Communications on Applied Mathematics and Computation. 1:187-206
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- This article reports our explorations for solving interface problems of the Helmholtz equation by immersed finite elements (IFE) on interface independent meshes. Two IFE methods are investigated: the partially penalized IFE (PPIFE) and discontinuous Galerkin IFE (DGIFE) methods. Optimal convergence rates are observed for these IFE methods once the mesh size is smaller than the optimal mesh size which is mainly dictated by the wave number. Numerical experiments also suggest that higher degree IFE methods are advantageous because of their larger optimal mesh size and higher convergence rates.
- Subjects :
- Helmholtz equation
Discontinuous Galerkin method
Interface (Java)
Convergence (routing)
General Earth and Planetary Sciences
Computational Science and Engineering
Applied mathematics
Polygon mesh
Finite element method
Mathematics::Numerical Analysis
General Environmental Science
Mathematics
Subjects
Details
- ISSN :
- 26618893 and 20966385
- Volume :
- 1
- Database :
- OpenAIRE
- Journal :
- Communications on Applied Mathematics and Computation
- Accession number :
- edsair.doi...........3f27420e56f2275b7288410f0262f9c8