An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains (Q6561373)

scientific article; zbMATH DE number 7870810

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English	An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains	scientific article; zbMATH DE number 7870810

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instance of

scholarly article

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title

An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains (English)

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Advances in Computational Mathematics

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publication date

25 June 2024

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zbMATH Keywords

unfitted finite element method

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direct extension

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time-harmonic Maxwell equation

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Vector potentials in three-dimensional non-smooth domains

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Stable generalized finite element method (SGFEM)

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The aggregated unfitted finite element method for elliptic problems

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A Finite Element Method with Lagrange Multipliers for Low-Frequency Harmonic Maxwell Equations

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Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6--8, 2016

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A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations

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The Mathematical Theory of Finite Element Methods

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Mixed and Hybrid Finite Element Methods

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Ghost penalty

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An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems

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CutFEM: Discretizing geometry and partial differential equations

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A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh

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Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients

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An Adaptive Multilevel Method for Time‐Harmonic Maxwell Equations with Singularities

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The adaptive immersed interface finite element method for elliptic and Maxwell interface problems

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Finite element methods and their convergence for elliptic and parabolic interface problems

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Singularities of electromagnetic fields in polyhedral domains

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High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface

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A Supernodal Approach to Sparse Partial Pivoting

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A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution

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Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions

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An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number

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The extended/generalized finite element method: An overview of the method and its applications

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

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Finite Element Methods for Navier-Stokes Equations

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Interior penalty discontinuous Galerkin method for Maxwell's equations: energy norm error estimates

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A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems

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Inf-sup stability of geometrically unfitted Stokes finite elements

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Extended HDG methods for second order elliptic interface problems

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An interface/boundary-unfitted eXtended HDG method for linear elasticity problems

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An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.

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A cut finite element method for a Stokes interface problem

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Finite elements in computational electromagnetism

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Interior penalty method for the indefinite time-harmonic Maxwell equations

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Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

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An unfitted interface penalty finite element method for elliptic interface problems

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A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary

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High order unfitted finite element methods on level set domains using isoparametric mappings

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An Eulerian finite element method for PDEs in time-dependent domains

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On multi-mesh $H$-adaptive methods

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A reconstructed discontinuous approximation on unfitted meshes to $H(\mathrm{curl})$ and $H(\mathrm{div})$ interface problems

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A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh

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The immersed interface method using a finite element formulation

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Interface-penalty finite element methods for interface problems in $H^1$, $\boldsymbol{H} (\mathbf{curl})$, and $\boldsymbol{H} (\operatorname{div})$

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An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number

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Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number

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A stabilized Nitsche fictitious domain method for the Stokes problem

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Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions

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Finite Element Methods for Maxwell's Equations

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Mixed finite elements in $\mathbb{R}^3$

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A new family of mixed finite elements in ${\mathbb{R}}^ 3$

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Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations

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The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations

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Stabilized interior penalty methods for the time-harmonic Maxwell equations.

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Optimal penalty parameters for symmetric discontinuous Galerkin discretisations of the time-harmonic Maxwell equations

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High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles

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An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms

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The design and analysis of the generalized finite element method

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An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains

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A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems

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An Unfitted hp-Interface Penalty Finite Element Method for Elliptic Interface Problems

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An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces

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Optimal Error Estimates for Nedelec Edge Elements for Time-Harmonic Maxwell's Equations

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Identifiers

zbMATH Open document ID

1542.65167

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Mathematics Subject Classification ID

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10.1007/S10444-024-10148-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:6561373