Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem
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Publication:1944006
DOI10.1007/s00211-012-0500-xzbMath1268.65151OpenAlexW2100188483MaRDI QIDQ1944006
Roger C. E. Tan, Ping Lin, Huo-Yuan Duan
Publication date: 3 April 2013
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-012-0500-x
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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An adaptive FEM for a Maxwell interface problem ⋮ Computation of Maxwell singular solution by nodal-continuous elements ⋮ Weak Galerkin finite element methods for \(\mathbf{H}(\mathrm{curl};\Omega)\) and \(\mathbf{H}(\mathrm{curl},\operatorname{div};\Omega)\)-elliptic problems ⋮ A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution ⋮ New Mixed Elements for Maxwell Equations ⋮ A coercive mixed formulation for the generalized Maxwell problem ⋮ Boundary coefficient determination for an eddy current problem based on the potential field method ⋮ A family of optimal Lagrange elements for Maxwell's equations ⋮ Unnamed Item ⋮ A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem ⋮ A mixed method for Maxwell eigenproblem ⋮ Residual-based a posteriori error estimates for the time-dependent Ginzburg-Landau equations of superconductivity
Uses Software
Cites Work
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem
- Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism
- Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
- On electric and magnetic problems for vector fields in anisotropic nonhomogeneous media
- Mixed finite elements in \(\mathbb{R}^3\)
- A coercive bilinear form for Maxwell's equations
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Optimal a priori estimates for interface problems
- Interior penalty method for the indefinite time-harmonic Maxwell equations
- On generalized harmonic fields in domains with anisotropic nonhomogeneous media
- Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26--28, 2001
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator
- Singularities of electromagnetic fields in polyhedral domains
- Uniform a priori estimates for elliptic and static Maxwell interface problems
- Vector potential formulation for magnetostatics and modelling of permanent magnets
- Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems
- Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
- SINGULARITIES AND DENSITY PROBLEMS FOR COMPOSITE MATERIALS IN ELECTROMAGNETISM
- Finite elements in computational electromagnetism
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Weighted regularization for composite materials in electromagnetism
- The Local $L^2$ Projected $C^0$ Finite Element Method for Maxwell Problem
- Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities
- Finite Element Methods for Navier-Stokes Equations
- L2-Theory of the Maxwell operator in arbitrary domains
- Optimal Finite-Element Interpolation on Curved Domains
- Singularities of Maxwell interface problems
- Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
- Vector potentials in three-dimensional non-smooth domains
- Maxwell and Lamé eigenvalues on polyhedra
- A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
- Least-Squares Finite Element Approximations to Solutions of Interface Problems
- Resolution of the Maxwell equations in a domain with reentrant corners
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations
- On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
- A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
- Finite Element Methods for Maxwell's Equations
- A new approximation technique for div-curl systems
- A Local Projection Operator for Quadrilateral Finite Elements
- The Immersed Interface Method
- Galerkin Finite Element Methods for Parabolic Problems
- Convergence Analysis of Fully Discrete Finite Volume Methods for Maxwell's Equations in Nonhomogeneous Media
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I
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