An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains
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Publication:6561373
DOI10.1007/S10444-024-10148-1zbMATH Open1542.65167MaRDI QIDQ6561373
Publication date: 25 June 2024
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Stability in context of PDEs (35B35) 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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)
Cites Work
- Title not available (Why is that?)
- Stable generalized finite element method (SGFEM)
- A stabilized Nitsche fictitious domain method for the Stokes problem
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Ghost penalty
- Optimal penalty parameters for symmetric discontinuous Galerkin discretisations of the time-harmonic Maxwell equations
- Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
- Extended HDG methods for second order elliptic interface problems
- The adaptive immersed interface finite element method for elliptic and Maxwell interface problems
- Interior penalty discontinuous Galerkin method for Maxwell's equations: energy norm error estimates
- Mixed finite elements in \(\mathbb{R}^3\)
- The immersed interface method using a finite element formulation
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6--8, 2016
- Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions
- A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems
- Interior penalty method for the indefinite time-harmonic Maxwell equations
- Stabilized interior penalty methods for the time-harmonic Maxwell equations.
- 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 design and analysis of the generalized finite element method
- Singularities of electromagnetic fields in polyhedral domains
- The aggregated unfitted finite element method for elliptic problems
- A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
- An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces
- Interface-penalty finite element methods for interface problems in \(H^1\), \(\boldsymbol{H} (\mathbf{curl})\), and \(\boldsymbol{H} (\operatorname{div})\)
- Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number
- An unfitted interface penalty finite element method for elliptic interface problems
- High order unfitted finite element methods on level set domains using isoparametric mappings
- A cut finite element method for a Stokes interface problem
- On multi-mesh \(H\)-adaptive methods
- Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions
- A reconstructed discontinuous approximation on unfitted meshes to \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) interface problems
- CutFEM: Discretizing geometry and partial differential equations
- An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- The extended/generalized finite element method: An overview of the method and its applications
- Finite elements in computational electromagnetism
- A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations
- Optimal Error Estimates for Nedelec Edge Elements for Time-Harmonic Maxwell's Equations
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Vector potentials in three-dimensional non-smooth domains
- A Supernodal Approach to Sparse Partial Pivoting
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution
- Inf-sup stability of geometrically unfitted Stokes finite elements
- Mixed Discontinuous Galerkin Approximation of the Maxwell Operator
- A Finite Element Method with Lagrange Multipliers for Low-Frequency Harmonic Maxwell Equations
- Finite Element Methods for Maxwell's Equations
- The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
- A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh
- An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains
- A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh
- High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface
- An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number
- An Unfitted hp-Interface Penalty Finite Element Method for Elliptic Interface Problems
- An Eulerian finite element method for PDEs in time-dependent domains
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- The Mathematical Theory of Finite Element Methods
- An Adaptive Multilevel Method for Time‐Harmonic Maxwell Equations with Singularities
- An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems
- An interface/boundary-unfitted eXtended HDG method for linear elasticity problems
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