Robust hybrid high-order method on polytopal meshes with small faces
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Publication:2113845
DOI10.1515/cmam-2021-0018zbMath1482.65204arXiv2102.06414OpenAlexW3200082384MaRDI QIDQ2113845
Publication date: 14 March 2022
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.06414
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (10)
A hybrid high-order method for the Sobolev equation ⋮ Design and analysis of the extended hybrid high-order method for the Poisson problem ⋮ Conditioning of a hybrid high-order scheme on meshes with small faces ⋮ Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version ⋮ Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods ⋮ A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type ⋮ A virtual element method for the elasticity problem allowing small edges ⋮ A hybrid high-order method for a class of strongly nonlinear elliptic boundary value problems ⋮ VEM discretization allowing small edges for the reaction–convection–diffusion equation: source and spectral problems ⋮ Numerical solution of the Biot/elasticity interface problem using virtual element methods
Uses Software
Cites Work
- Unnamed Item
- Equivalent projectors for virtual element methods
- An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
- A mixed finite volume scheme for anisotropic diffusion problems on any grid
- A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation
- A hybrid high-order locking-free method for linear elasticity on general meshes
- Some estimates for virtual element methods
- The hybrid high-order method for polytopal meshes. Design, analysis, and applications
- A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam's device
- The mimetic finite difference method for elliptic problems
- Basic principles of mixed Virtual Element Methods
- A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- A compact multipoint flux approximation method with improved robustness
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- Conforming and nonconforming virtual element methods for elliptic problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- ℎ𝑝-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
- Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Conforming polygonal finite elements
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