A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization
DOI10.1016/j.camwa.2016.07.038zbMath1368.65248OpenAlexW2293294764MaRDI QIDQ2012680
Jérôme Bonelle, Pierre Cantin, Erik Burman, Alexandre Ern
Publication date: 3 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.038
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary value problems for linear first-order PDEs (35F15)
Related Items (3)
Cites Work
- Unnamed Item
- Vertex-based compatible discrete operator schemes on polyhedral meshes for advection-diffusion equations
- Finite element methods for linear hyperbolic problems
- Mathematical aspects of discontinuous Galerkin methods.
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions
- A note on the Poincaré inequality for convex domains
- A priori and a posteriori analysis of finite volume discretizations of Darcy's equations
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Theory and practice of finite elements.
- Subgrid stabilization of Galerkin approximations of linear monotone operators
- Small-stencil 3D schemes for diffusive flows in porous media
- Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
- Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- A unified convergence analysis for local projection stabilisations applied to the Oseen problem
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
- Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
- Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
- Local CIP Stabilization for Composite Finite Elements
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