Discrete $H^1$-Inequalities for Spaces Admitting M-Decompositions
DOI10.1137/17M1144830zbMath1407.65285arXiv1808.05709WikidataQ115994239 ScholiaQ115994239MaRDI QIDQ4560184
Weifeng Qiu, Guosheng Fu, Bernardo Cockburn
Publication date: 5 December 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.05709
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (2)
Cites Work
- Unnamed Item
- Two families of mixed finite elements for second order elliptic problems
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Conditions for superconvergence of HDG methods for second-order elliptic problems
- Superconvergence byM-decompositions. Part II: Construction of two-dimensional finite elements
- Superconvergence byM-decompositions. Part III: Construction of three-dimensional finite elements
- Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion
- Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations
- A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
- Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
- A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions
- Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes
- A note on the devising of superconvergent HDG methods for Stokes flow byM-decompositions
- Conditions for superconvergence of HDG methods for Stokes flow
- Mixed Finite Element Methods and Applications
- A Systematic Construction of Finite Element Commuting Exact Sequences
- The Staggered DG Method is the Limit of a Hybridizable DG Method
This page was built for publication: Discrete $H^1$-Inequalities for Spaces Admitting M-Decompositions