Stable multilevel splittings of boundary edge element spaces
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Publication:1759580
DOI10.1007/s10543-012-0369-1zbMath1266.78033OpenAlexW1986688397MaRDI QIDQ1759580
Publication date: 21 November 2012
Published in: BIT (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11850/43558
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) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (7)
Asymptotic expansion techniques for singularly perturbed boundary integral equations ⋮ A hierarchical preconditioner for the electric field integral equation on unstructured meshes based on primal and dual Haar bases ⋮ Adaptive BEM with inexact PCG solver yields almost optimal computational costs ⋮ Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes ⋮ Discrete extension operators for mixed finite element spaces on locally refined meshes ⋮ Optimal quasi-diagonal preconditioners for pseudodifferential operators of order minus two ⋮ Extension by zero in discrete trace spaces: Inverse estimates
Cites Work
- Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems
- Mixed finite elements in \(\mathbb{R}^3\)
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Multilevel preconditioning
- Multilevel norms for \(H^{-1/2}\)
- Wavelet-based preconditioners for boundary integral equations
- A basic norm equivalence for the theory of multilevel methods
- Efficient algorithms for the \(p\)-version of the boundary element method
- The electric field integral equation on Lipschitz screens: definitions and numerical approximation
- Rapid solution of first kind boundary integral equations in \(\mathbb R^3\).
- Additive Schwarz algorithms for the \(p\) version of the Galerkin boundary element method
- Multilevel methods for the \(h\)-, \(p\)-, and \(hp\)-versions of the boundary element method
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes
- Schwarz iterations for the efficient solution of screen problems with boundary elements
- Multigrid in H(div) and H(curl)
- Operator preconditioning
- Coupled boundary-element scheme for eddy-current computation
- Wavelet approximations for first kind boundary integral equations on polygons
- On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
- An additive Schwarz method for the h-p version of the boundary element method for hypersingular integral equations in R3
- Boundary Element Methods for Eddy Current Computation
- Convergence Analysis of the Schwarz Algorithm and Multilevel Decomposition Iterative Methods II: Nonselfadjoint and Indefinite Elliptic Problems
- Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 1: The Continuous Problem
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids
- Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems
- Local Multigrid in H(Curl)
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- Robust pole-placement algorithm for adaptive control
- Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
- Iterative Methods by Space Decomposition and Subspace Correction
- Multigrid Method for Maxwell's Equations
- Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$
- Canonical construction of finite elements
- Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
- Additive schwarz methods for the H-version boundary element method
- Hierarchical basis methods for hypersingular integral equations
- Multilevel additive Schwarz method for the ℎ-𝑝 version of the Galerkin boundary element method
- Symmetric Coupling for Eddy Current Problems
- Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations
- An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems
- Analysis of Iterative Sub-structuring Techniques for Boundary Element Approximation of the Hypersingular Operator in Three Dimensions
- Finite Element Methods for Maxwell's Equations
- Analysis of multilevel methods for eddy current problems
- New Estimates for Multilevel Algorithms Including the V-Cycle
- Solving the EFIE at Low Frequencies With a Conditioning That Grows Only Logarithmically With the Number of Unknowns
- A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems
- The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms
- Boundary Element Methods
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