Algebraic convergence for anisotropic edge elements in polyhedral domains
From MaRDI portal
Publication:2486671
DOI10.1007/s00211-005-0607-4zbMath1116.78020OpenAlexW2061438882WikidataQ58841912 ScholiaQ58841912MaRDI QIDQ2486671
Monique Dauge, Annalisa Buffa, Martin Costabel
Publication date: 5 August 2005
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-005-0607-4
Error bounds for boundary value problems involving PDEs (65N15) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items
The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions, ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA, Weighted analytic regularity in polyhedra, Convergence of the mixed finite element method for Maxwell's equations with nonlinear conductivity, Some further approximation properties of Nédélec finite elements, aapplication to a posteriori analysis, Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model, Immersed virtual element methods for electromagnetic interface problems in three dimensions, Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions, New numerical method for solving time-harmonic Maxwell equations with strong singularity, A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems, Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron., Mathematical analysis and finite element simulation of a magnetized ferrite model, Anisotropic error estimates for an interpolant defined via moments, Coupled boundary-element scheme for eddy-current computation, Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally refined grids with fictitious domains, Mathematical analysis of variational isogeometric methods, Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations, A second order numerical scheme for nonlinear Maxwell's equations using conforming finite element, Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra, Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements, Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains, Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem, A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mixed finite elements in \(\mathbb{R}^3\)
- Direct and inverse error estimates for finite elements with mesh refinements
- Anisotropic interpolation with applications to the finite element method
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Fully discrete finite element approaches for time-dependent Maxwell's equations
- Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron.
- Boundary element methods for Maxwell transmission problems in Lipschitz domains
- Fortin operator and discrete compactness for edge elements
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Singularities of electromagnetic fields in polyhedral domains
- Spurious-free approximations of electromagnetic eigenproblems by means of Nedelec-type elements
- Some mixed finite element methods on anisotropic meshes
- Finite elements in computational electromagnetism
- Finite Element Methods for Navier-Stokes Equations
- L2-Theory of the Maxwell operator in arbitrary domains
- Singularities of Maxwell interface problems
- Mixed and Hybrid Finite Element Methods
- Analysis of a Finite Element Method for Maxwell’s Equations
- On the Maximum Angle Condition for Linear Tetrahedral Elements
- Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
- On spectral approximation. Part 1. The problem of convergence
- On spectral approximation. Part 2. Error estimates for the Galerkin method
- Vector potentials in three-dimensional non-smooth domains
- Error estimates for 3-d narrow finite elements
- Canonical construction of finite elements
- The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations
- Uniform Error Estimates for Certain Narrow Lagrange Finite Elements
- On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
- Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations
- EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS
- Remarks on the Discretization of Some Noncoercive Operator with Applications to Heterogeneous Maxwell Equations
- A note on the de Rham complex and a discrete compactness property