Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions
DOI10.1090/MCOM/3875zbMath1525.65120arXiv2007.02562OpenAlexW3040225709MaRDI QIDQ6076238
Erik Burman, Peter Hansbo, Mats G. Larson
Publication date: 23 October 2023
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.02562
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fictitious domain methods for boundary value problems involving PDEs (65N85)
Cites Work
- Unnamed Item
- Cut finite element methods for coupled bulk-surface problems
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Mathematical aspects of discontinuous Galerkin methods.
- Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions
- An improved a priori error analysis of Nitsche's method for Robin boundary conditions
- CutFEM: Discretizing geometry and partial differential equations
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- Regularity and perturbation results for mixed second order elliptic problems
- A cut finite element method with boundary value correction
- Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
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