Flux recovery for Cut Finite Element Method and its application in a posteriori error estimation
From MaRDI portal
Publication:5034829
DOI10.1051/m2an/2021071OpenAlexW3211046214MaRDI QIDQ5034829
Publication date: 21 February 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.02547
Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)
Related Items (1)
Cites Work
- Unnamed Item
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- A stabilized Nitsche fictitious domain method for the Stokes problem
- Ghost penalty
- Mathematical aspects of discontinuous Galerkin methods.
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- A posteriori error analysis for a cut cell finite volume method
- Equilibrated residual error estimates are \(p\)-robust
- Error estimates for fictitious domain/penalty/finite element methods
- A posteriori error estimation and adaptive mesh-refinement techniques
- A posteriori error estimation in finite element analysis
- Flux reconstruction for the \(P2\) nonconforming finite element method with application to a posteriori error estimation
- 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
- The aggregated unfitted finite element method for elliptic problems
- Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements
- Implicit a posteriori error estimation in cut finite elements
- Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media
- An unfitted interface penalty finite element method for elliptic interface problems
- Dual weighted residual error estimation for the finite cell method
- An accurate \(\mathbf H\)(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems
- 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)
- Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes
- Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements
- An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method
- Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements
- A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
- A New Fictitious Domain Approach Inspired by the Extended Finite Element Method
- Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements
- An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method
- A Finite-element Method for Solving Elliptic Equations with Neumann Data on a Curved Boundary Using Unfitted Meshes
- Superconvergence and H(div) projection for discontinuous Galerkin methods
- An Unfitted Hybrid High-Order Method for Elliptic Interface Problems
- A cut finite element method with boundary value correction
- The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Mixed Finite Element Methods and Applications
- A posteriori error estimates with boundary correction for a cut finite element method
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
This page was built for publication: Flux recovery for Cut Finite Element Method and its application in a posteriori error estimation