A mixed discontinuous Galerkin method for the wave equation
DOI10.1016/j.camwa.2020.12.001OpenAlexW3115091385MaRDI QIDQ2226769
Publication date: 9 February 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.12.001
wave equationoptimal error estimatesmixed discontinuous Galerkin methodspatially semi-discrete approximation
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Mixed Galerkin finite element methods for modified regularized long wave equation
- Mixed discontinuous Galerkin methods for Darcy flow
- Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
- A discontinuous Galerkin method for the wave equation
- A priori estimates for mixed finite element methods for the wave equation
- On a mixed discontinuous Galerkin method
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow
- Discontinuous Galerkin finite element methods for second order hyperbolic problems
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type
- Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
- Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow
- A unified study of continuous and discontinuous Galerkin methods
- Optimal order error estimates for discontinuous Galerkin methods for the wave equation
- On the local discontinuous Galerkin method for linear elasticity
- Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations
- A mixed discontinuous Galerkin method with symmetric stress for Brinkman problem based on the velocity-pseudostress formulation
- Adaptive discontinuous Galerkin methods for solving an incompressible Stokes flow problem with slip boundary condition of frictional type
- A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry
- A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids
- A stabilized mixed discontinuous Galerkin method for Darcy flow
- Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type
- An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations
- Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- On the application of mixed finite element methods to the wave equations
- An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Mixed Discontinuous Galerkin Approximation of the Maxwell Operator
- A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation
- A Priori Estimates for Mixed Finite Element Approximations of Second-Order Hyperbolic Equations with Absorbing Boundary Conditions
- Mixed Finite Element Methods and Applications
- Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions
- Discontinuous Galerkin Finite Element Method for the Wave Equation