Error analysis of the spectral element method with Gauss-Lobatto-Legendre points for the acoustic wave equation in heterogeneous media
DOI10.1016/j.apnum.2018.02.007zbMath1393.65053OpenAlexW2791010267WikidataQ130139426 ScholiaQ130139426MaRDI QIDQ1748053
Saulo Pomponet Oliveira, Stela Angelozi Leite
Publication date: 2 May 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.02.007
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- Liouville-Green approximation for Bleustein-Gulyaev waves in functionally graded materials
- Non-conforming high order approximations of the elastodynamics equation
- Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
- Dispersion analysis of spectral element methods for elastic wave propagation
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
- Numerical approximation of acoustic waves by spectral element methods
- Error analysis of numerical schemes for the wave equation in heterogeneous media
- Spectral element method for acoustic wave simulation in heterogeneous media
- On the dynamics of locally resonant sonic composites
- An explicit second order spectral element method for acoustic waves
- Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods
- Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- The $h-p$ version of the finite element method with quasiuniform meshes
- Second-Order Absorbing Boundary Conditions for the Wave Equation in a Rectangular Domain
- A Well-Posed and Discretely Stable Perfectly Matched Layer for Elastic Wave Equations in Second Order Formulation
- A Priori Estimates for Mixed Finite Element Approximations of Second-Order Hyperbolic Equations with Absorbing Boundary Conditions
- Spectral Methods
- Inverse-type estimates on $hp$-finite element spaces and applications
- Spectral Methods
- Some remarks on the dirichlet problem in piecewise smooth domains
- On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
- Spectral/hp Element Methods for Computational Fluid Dynamics
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