An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions
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Publication:2690317
DOI10.1007/s00211-023-01345-zOpenAlexW4319661476MaRDI QIDQ2690317
Publication date: 16 March 2023
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.11549
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15)
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Uses Software
Cites Work
- A weak formulation for solving elliptic interface problems without body fitted grid
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Optimal a priori estimates for higher order finite elements for elliptic interface problems
- The immersed interface method using a finite element formulation
- Finite element methods and their convergence for elliptic and parabolic interface problems
- New Cartesian grid methods for interface problems using the finite element formulation
- A finite element method for high-contrast interface problems with error estimates independent of contrast
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A fixed mesh method with immersed finite elements for solving interface inverse problems
- A new parameter free partially penalized immersed finite element and the optimal convergence analysis
- Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis
- A rigorous condition number estimate of an immersed finite element method
- High-order extended finite element methods for solving interface problems
- An immersed finite element method for elliptic interface problems in three dimensions
- Uniform a priori estimates for elliptic and static Maxwell interface problems
- Immersed virtual element methods for elliptic interface problems in two dimensions
- An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions
- Parameterization of planar curves immersed in triangulations with application to finite elements
- CutFEM: Discretizing geometry and partial differential equations
- A Trilinear Immersed Finite Element Method for Solving the Electroencephalography Forward Problem
- An Analysis of a Broken $P_1$-Nonconforming Finite Element Method for Interface Problems
- The extended/generalized finite element method: An overview of the method and its applications
- A new multiscale finite element method for high-contrast elliptic interface problems
- Shorter Notes: Regularity of the Distance Function
- Three-dimensional immersed finite element methods for electric field simulation in composite materials
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- A cut finite element method with boundary value correction
- A cut discontinuous Galerkin method for the Laplace–Beltrami operator
- Finite element analysis for a coupled bulk-surface partial differential equation
- A partially penalty immersed interface finite element method for anisotropic elliptic interface problems
- PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions
- A group of immersed finite-element spaces for elliptic interface problems
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Fast and Accurate Redistancing by Directional Optimization
- The Mathematical Theory of Finite Element Methods
- An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces
- Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis
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