A discontinuous Galerkin method for the wave equation
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Publication:646291
DOI10.1016/j.cma.2010.10.008zbMath1225.76187OpenAlexW2066000381MaRDI QIDQ646291
Publication date: 16 November 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2010.10.008
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- Superconvergence of discontinuous finite element solutions for transient convection-diffusion problems
- The discontinuous Galerkin method for two-dimensional hyperbolic problems. II: A posteriori error estimation
- A priori estimates for mixed finite element methods for the wave equation
- A discontinuous Galerkin method for higher-order ordinary differential equations
- The h-p version of the finite element method. I. The basic approximation results
- Discontinuous Galerkin finite element methods for second order hyperbolic problems
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- A superconvergence result for discontinuous Galerkin methods applied to elliptic problems.
- An \(hp\) a priori error analysis of the DG time-stepping for initial value problems
- A posteriori discontinuous finite element error estimation for two-dimensional hyperbolic problems.
- Theory and practice of finite elements.
- Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24--26, 1999
- Superconvergence of discontinuous Galerkin solutions for a nonlinear scalar hyperbolic problem
- The discontinuous Galerkin method for two-dimensional hyperbolic problems. I: Superconvergence error analysis
- Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Discontinuous Galerkin Methods for Ordinary Differential Equations
- Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A POSTERIORIERROR ESTIMATION FOR THE FINITE ELEMENT METHOD-OF-LINES SOLUTION OF PARABOLIC PROBLEMS
- A Posteriori Finite Element Error Estimation for Diffusion Problems
- A continuous space-time finite element method for the wave equation
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations