Recovered finite element methods on polygonal and polyhedral meshes
From MaRDI portal
Publication:5118612
DOI10.1051/m2an/2019047zbMath1446.65165arXiv1804.08259OpenAlexW3004742603MaRDI QIDQ5118612
Tristan Pryer, Zhaonan Dong, Emmanuil H. Georgoulis
Publication date: 26 August 2020
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.08259
a priori analysisPDEs with non-negative characteristic formpolygonal and polyhedral meshesrecovered finite element method
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes, A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes, A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes, On the numerical approximation of p‐biharmonic and ∞‐biharmonic functions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- Mathematical aspects of discontinuous Galerkin methods.
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- On a BPX-preconditioner for P1 elements
- Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
- A hybrid high-order locking-free method for linear elasticity on general meshes
- Recovered finite element methods
- High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- The mimetic finite difference method for elliptic problems
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
- hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
- An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- The Composite Mini Element—Coarse Mesh Computation of Stokes Flows on Complicated Domains
- Continuous dependence and error estimation for viscosity methods
- Stabilizedhp-Finite Element Methods for First-Order Hyperbolic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- 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
- Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. III---Discontinuous Galerkin and Other Interior Penalty Methods
- Higher Order BEM-Based FEM on Polygonal Meshes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems
- A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- Conforming polygonal finite elements
- Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form
