Analysis of multilevel methods for eddy current problems
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Publication:4806387
DOI10.1090/S0025-5718-02-01468-0zbMath1018.78008MaRDI QIDQ4806387
Publication date: 14 May 2003
Published in: Mathematics of Computation (Search for Journal in Brave)
multilevel methodsedge elementsHelmholtz decomposition\(H(\text{curl},\Omega)\)stable BPX-type splittings
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25)
Related Items
A new approximation technique for div-curl systems, Unnamed Item, A \(T\)-\(\psi\) formulation with the penalty function term for the 3D eddy current problem in laminated structures, On the Magneto-Heat Coupling Model for Large Power Transformers, Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem, Stable multilevel splittings of boundary edge element spaces, Auxiliary space preconditioning in \(H_0(\text{curl};\Omega)\), Eddy Current Model for Nondestructive Evaluation with Thin Cracks, Extension by zero in discrete trace spaces: Inverse estimates, Homogenization of Quasi-static Maxwell's Equations
Cites Work
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- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Erratum: On the multi-level splitting of finite element spaces
- On function spaces related to finite element approximation theory
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements in \(\mathbb{R}^3\)
- A new viewpoint on mixed elements
- Fully discrete finite element approaches for time-dependent Maxwell's equations
- Multilevel methods for mixed finite elements in three dimensions
- Analysis of three-dimensional electromagnetic fields using edge elements
- Multilevel Schwarz methods
- Multigrid method for \(H\text{(div)}\) in three dimensions
- Whitney elements on pyramids
- Overlapping Schwarz methods for Maxwell's equations in three dimensions
- Adaptive multilevel methods for edge element discretizations of Maxwell's equations
- Tetrahedral grid refinement
- Multilevel preconditioned augmented Lagrangian techniques for \(2\)nd order mixed problems
- Mur-Nédélec finite element schemes for Maxwell's equations
- Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$
- Some Estimates for a Weighted L 2 Projection
- Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- A New Convergence Proof for the Multigrid Method Including the V-Cycle
- Finite Element Methods for Navier-Stokes Equations
- L2-Theory of the Maxwell operator in arbitrary domains
- Singularities of Maxwell interface problems
- A Mixed Method for Approximating Maxwell’s Equations
- Local mesh refinement in 2 and 3 dimensions
- Mixed and Hybrid Finite Element Methods
- Analysis of a Finite Element Method for Maxwell’s Equations
- Iterative Methods by Space Decomposition and Subspace Correction
- Vector potentials in three-dimensional non-smooth domains
- On the robustness of the BPX-preconditioner with respect to jumps in the coefficients
- Multigrid Method for Maxwell's Equations
- Canonical construction of finite elements
- A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
- Multilevel solution of the time-harmonic Maxwell's equations based on edge elements
- The method of alternating projections and the method of subspace corrections in Hilbert space
- Error Analysis of Krylov Methods In a Nutshell
- A Justification of Eddy Currents Model for the Maxwell Equations
- Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations
- Multilevel Method for Mixed Eigenproblems
- Functional Operators (AM-22), Volume 2
