The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients

DOI10.4208/aamm.OA-2020-0350zbMath1488.65695OpenAlexW3167520548MaRDI QIDQ5157085

Long Yuan, Shuai Xi, Binlin Zhang

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2020-0350

zbMATH Keywords

error estimatespreconditionerelastic wavesnonhomogeneousultra-weak variational formulationplane wave basis functionslocal spectral elementsplane wave least-squares

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Linear elasticity with initial stresses (74B10) Plates (74K20) Wave scattering in solid mechanics (74J20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spectral and related methods applied to problems in solid mechanics (74S25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Preconditioners for iterative methods (65F08)

Related Items (1)

Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell’s Equations in Anisotropic Media

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