An optimal-order \(L^2\)-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions
From MaRDI portal
Publication:649478
DOI10.1016/j.cma.2009.02.006zbMath1227.65085OpenAlexW2161505591MaRDI QIDQ649478
Kaixin Wang, Shuyu Sun, Hong Wang, Mary Fanett Wheeler
Publication date: 30 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.2009.02.006
Diffusion (76R50) 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)
Related Items
L 2 -estimates for the DG IIPG-0 scheme, The weak Galerkin method for solving the incompressible Brinkman flow, A fully discrete discontinuous Galerkin method for nonlinear fractional Fokker-Planck equation, A single-node characteristic collocation method for unsteady-state convection-diffusion equations in three-dimensional spaces, Interior penalty discontinuous Galerkin methods with implicit time-integration techniques for nonlinear parabolic equations, Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Compatible algorithms for coupled flow and transport
- Analysis of a family of discontinuous Galerkin methods for elliptic problems: the one dimensional case
- A discontinuous \(hp\) finite element method for diffusion problems
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport
- Stabilized hp-DGFEM for Incompressible Flow
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates
- Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems
- Discontinuous Galerkin Method for Modeling Flow and Reactive Transport in Porous Media
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
