âđ-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
From MaRDI portal
Publication:5018364
DOI10.1090/mcom/3667zbMath1484.65295arXiv1906.01715OpenAlexW3162471417MaRDI QIDQ5018364
Emmanuil H. Georgoulis, Zhaonan Dong, Andrea Cangiani
Publication date: 16 December 2021
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01715
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains, Robust interior penalty discontinuous Galerkin methods, A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes, Finite element theory on curved domains with applications to discontinuous Galerkin finite element methods, An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, Curved elements in weak Galerkin finite element methods, Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods, Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems, Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes, Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022, On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review, Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems, GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes, A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids, Robust hybrid high-order method on polytopal meshes with small faces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- On the constants in \(hp\)-finite element trace inverse inequalities.
- A posteriori error analysis for elliptic PDEs on domains with complicated structures
- A hybrid high-order locking-free method for linear elasticity on general meshes
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
- \(hp\)-finite element methods for singular perturbations
- Level set methods and dynamic implicit surfaces
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
- Algebraic cubature on polygonal elements with a circular edge
- Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\)
- Adaptive mesh refinement strategies in isogeometric analysis -- a computational comparison
- An unfitted interface penalty finite element method for elliptic interface problems
- A primal discontinuous Galerkin method with static condensation on very general meshes
- On Bernstein-Markov-type inequalities for multivariate polynomials in \(L_q\)-norm
- The finite element method for elliptic equations with discontinuous coefficients
- The mimetic finite difference method for elliptic problems
- hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
- Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes
- CutFEM: Discretizing geometry and partial differential equations
- The extended/generalized finite element method: An overview of the method and its applications
- Adaptive discontinuous Galerkin methods for elliptic interface problems
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
- An unfitted finite element method using discontinuous Galerkin
- Numerical inverse isoparametric mapping in remeshing and nodal quantity contouring
- The $h-p$ version of the finite element method with quasiuniform meshes
- Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces
- The Optimal Convergence Rate of the p-Version of the Finite Element Method
- Numerical inverse isoparametric mapping in 3D FEM
- Stabilizedhp-Finite Element Methods for First-Order Hyperbolic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- An Unfitted Hybrid High-Order Method for Elliptic Interface Problems
- Virtual element methods on meshes with small edges or faces
- A Simple Mesh Generator in MATLAB
- An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A group of immersed finite-element spaces for elliptic interface problems
- An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids
- An Unfitted hp-Interface Penalty Finite Element Method for Elliptic Interface Problems
- Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Inverse-type estimates on $hp$-finite element spaces and applications
- A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- Conforming polygonal finite elements
- A Domain Decomposition Method Based on Weighted Interior Penalties for AdvectionâDiffusionâReaction Problems
- Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form
