A posteriori error control for a weakly over-penalized symmetric interior penalty method
From MaRDI portal
Publication:618469
DOI10.1007/s10915-009-9278-0zbMath1203.65230OpenAlexW1997926412MaRDI QIDQ618469
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-009-9278-0
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm, Foreword: Discontinuous Galerkin methods for partial differential equations, An intrinsically parallel finite element method, Higher order weakly over-penalized symmetric interior penalty methods, Well-conditioned orthonormal hierarchical \(\mathcal{L}_{2}\) bases on \(\mathbb R^{n }\) simplicial elements, A priori and a posteriori error analysis for semilinear problems in liquid crystals, A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems, A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach, Piecewise $\mathbf {H^1}$ functions and vector fields associated with meshes generated by independent refinements, An adaptive discontinuous finite volume method for elliptic problems, Forty Years of the Crouzeix‐Raviart element, Polynomial preserving recovery of an over-penalized symmetric interior penalty Galerkin method for elliptic problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An a posteriori error estimate for the local discontinuous Galerkin method applied to linear and nonlinear diffusion problems
- An a posteriori error estimate for the local discontinuous Galerkin method
- A weakly over-penalized symmetric interior penalty method
- A unifying theory of a posteriori error control for discontinuous Galerkin FEM
- A posteriori error estimation and adaptive mesh-refinement techniques
- Energy norm a posteriori error estimation for discontinuous Galerkin methods.
- A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems
- An analysis of discontinuous Galerkin methods for elliptic problems
- ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
- A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
- A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems
- The Mathematical Theory of Finite Element Methods