An evaluation of the cost effectiveness of Chebyshev spectral andp-finite element solutions to the scalar wave equation

DOI<1099::AID-NME622>3.0.CO;2-5 10.1002/(SICI)1097-0207(19990720)45:8<1099::AID-NME622>3.0.CO;2-5zbMath0942.74070OpenAlexW2139033633MaRDI QIDQ4267039

Walter Dauksher, Ashley F. Emery

Publication date: 21 August 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990720)45:8<1099::aid-nme622>3.0.co;2-5

zbMATH Keywords

wave equation\(p\)-elementslumped mass matricesChebyshev basis functionscentral-difference-in-time temporal discretization

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05) Spectral and related methods applied to problems in solid mechanics (74S25) Linear waves in solid mechanics (74J05)

Related Items

Double-grid Chebyshev spectral elements for acoustic wave modeling, Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams, Numerical analysis of Lamb waves using the finite and spectral cell methods, Finite and spectral cell method for wave propagation in heterogeneous materials, Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods, MODIFIED VIRTUAL CRACK-CLOSURE TECHNIQUE USING SPECTRAL ELEMENT METHOD, The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements, Novel weak form quadrature element method with expanded Chebyshev nodes

Uses Software

• ABAQUS/Standard
• DYNA3D

Cites Work

• Accuracy in modeling the acoustic wave equation with Chebyshev spectral finite elements
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