An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency

DOI10.1007/s10915-016-0219-4zbMath1368.78135arXiv1501.05340OpenAlexW1516293786MaRDI QIDQ2014039

Cody Lorton, Xiaobing Feng

Publication date: 10 August 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05340

zbMATH Keywords

error estimatesunconditional stabilitydiscontinuous Galerkin methodsKorn's inequalityelastic Helmholtz equationsgeneralized weak coercivity

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Waves and radiation in optics and electromagnetic theory (78A40)

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An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media, The size function for a HDG method applied to the Helmholtz problem

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