A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems
Published 2019 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems
Authors
Keywords
Elastic waves, Nonhomogeneous, Local spectral element, Plane wave discontinuous Galerkin, Plane wave basis functions, Error estimates, 65N30, 65N55
Journal
computational and applied mathematics
Volume 38, Issue 3, Pages -
Publisher
Springer Science and Business Media LLC
Online
2019-06-03
DOI
10.1007/s40314-019-0900-y
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
- (2019) Long Yuan Numerical Mathematics-Theory Methods and Applications
- Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers
- (2018) Long Yuan et al. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Adaptive BDDC algorithms for the system arising from plane wave discretization of Helmholtz equations
- (2018) Jie Peng et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
- Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the $$hp$$ h p -Version
- (2015) R. Hiptmair et al. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
- Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
- (2015) Yu Du et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A Plane-Wave Least-Squares Method for Time-Harmonic Maxwell's Equations in Absorbing Media
- (2014) Qiya Hu et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version
- (2013) Lingxue Zhu et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Plane wave approximation in linear elasticity
- (2012) Andrea Moiola APPLICABLE ANALYSIS
- Error estimates for the ultra weak variational formulation in linear elasticity
- (2012) Teemu Luostari et al. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
- Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
- (2012) Ralf Hiptmair et al. MATHEMATICS OF COMPUTATION
- AN ADAPTIVE NUMERICAL STRATEGY FOR THE MEDIUM-FREQUENCY ANALYSIS OF HELMHOLTZ'S PROBLEM
- (2011) HERVÉ RIOU et al. JOURNAL OF COMPUTATIONAL ACOUSTICS
- $hp$-Discontinuous Galerkin methods for the Helmholtz equation with large wave number
- (2011) Xiaobing Feng et al. MATHEMATICS OF COMPUTATION
- Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
- (2011) R. Hiptmair et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Plane wave approximation of homogeneous Helmholtz solutions
- (2011) A. Moiola et al. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
- Plane wave discontinuous Galerkin methods: Analysis of theh-version
- (2009) Claude J. Gittelson et al. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
- Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation
- (2008) Annalisa Buffa et al. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
- Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method
- (2008) A. El Kacimi et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
- THE MULTISCALE VTCR APPROACH APPLIED TO ACOUSTICS PROBLEMS
- (2008) HERVÉ RIOU et al. JOURNAL OF COMPUTATIONAL ACOUSTICS
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started