Improved finite element methods for elastic waves

DOI10.1016/S0045-7825(98)00088-7zbMath0941.74062MaRDI QIDQ1299290

Shmuel Haham, Isaac Harari

Publication date: 7 August 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

well-posed problemexterior problemstime-harmonic elastic wavesartificial houndaryDirichlet-to-Neumann exterior boundary conditionsGalerkin/gradient least-squares method

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (15)

Studies of FE/PML for exterior problems of time-harmonic elastic waves ⋮ Acoustic simulation using \(\alpha\)-FEM with a general approach for reducing dispersion error ⋮ Stability and accuracy improvement for explicit formulation of time domain acoustic problems ⋮ A fast and high-order method for the three-dimensional elastic wave scattering problem ⋮ A method for multidimensional wave propagation analysis via component-wise partition of longitudinal and shear waves ⋮ The variational theory of complex rays: a predictive tool for medium-frequency vibrations. ⋮ Stabilized finite elements for time-harmonic elastic waves ⋮ The variational theory of complex rays for the calculation of medium‐frequency vibrations ⋮ Time-harmonic elasticity with controllability and higher-order discretization methods ⋮ Calculation of medium-frequency vibrations over a wide frequency range ⋮ A substructured version of the variational theory of complex rays dedicated to the calculation of assemblies with dissipative joints in the medium‐frequency range ⋮ A new stabilized finite element method for reaction-diffusion problems: The source-stabilized Petrov-Galerkin method ⋮ Dispersion Analysis of the Discontinuous Enrichment Method for Plane-strain Elasticity ⋮ Improved finite element methods for elastic waves ⋮ Galerkin gradient least-squares formulations for transient conduction heat transfer

Cites Work

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