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Error analysis of the spectral element method with Gauss–Lobatto–Legendre points for the acoustic wave equation in heterogeneous media

  • Published:2018-07 Issue: Volume:129 Page:39-57
  • ISSN:0168-9274
  • Container-title:Applied Numerical Mathematics
  • language:en
  • Short-container-title:Applied Numerical Mathematics

Author:

Oliveira Saulo PomponetORCID,Leite Stela Angelozi

Funder

CNPq

CAPES

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference33 articles.

1. Non-conforming high order approximations of the elastodynamics equation;Antonietti;Comput. Methods Appl. Mech. Eng.,2012

2. The hp version of the finite element method with quasiuniform meshes;Babuška;RAIRO Modél. Math. Anal. Numér.,1987

3. Spectral Methods: Fundamentals in Single Domains;Canuto,2006

4. Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics;Canuto,2007

5. Approximation results for orthogonal polynomials in Sobolev spaces;Canuto;Math. Comput.,1982

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1. On the numerical properties of high‐order spectral (Euler‐Bernoulli) beam elements;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-03-29

2. Optimal error analysis of the spectral element method for the 2D homogeneous wave equation;Computers & Mathematics with Applications;2022-08

3. Analysis and Spectral Element Solution of Nonlinear Integral Equations of Hammerstein Type;Topics in Integral and Integro-Differential Equations;2021

4. Numerical modeling of mechanical wave propagation;La Rivista del Nuovo Cimento;2020-09

5. Error Analysis of Chebyshev Spectral Element Methods for the Acoustic Wave Equation in Heterogeneous Media;Journal of Theoretical and Computational Acoustics;2018-09
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