Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results
DOI10.1137/22m1501593zbMath1527.65127OpenAlexW4387780377MaRDI QIDQ6069424
Publication date: 14 November 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/22m1501593
convergencediscontinuous coefficientsregular decompositionNédélec elementsHX preconditioner\(H(\mathbf{curl})\)-elliptic boundary value problemsthorny vertex
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A discrete weighted Helmholtz decomposition and its application
- Mixed finite elements in \(\mathbb{R}^3\)
- Fully discrete finite element approaches for time-dependent Maxwell's equations
- Overlapping Schwarz methods for Maxwell's equations in three dimensions
- Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
- A BDDC Algorithm with Deluxe Scaling for Three-Dimensional H (curl) Problems
- Dual-primal FETI algorithms for edge finite-element approximations in 3D
- UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS
- Parallel Auxiliary Space AMG for H(Curl) Problems
- An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane
- Finite Element Methods for Navier-Stokes Equations
- An analysis of the Darwin model of approximation to Maxwell’s equations
- Mixed and Hybrid Finite Element Methods
- Analysis of a Finite Element Method for Maxwell’s Equations
- An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
- Multigrid Method for Maxwell's Equations
- A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
- Substructuring preconditioners for saddle-point problems arising from Maxwell’s equations in three dimensions
- A Nonoverlapping Domain Decomposition Method for Maxwell's Equations in Three Dimensions
- Finite Element Methods for Maxwell's Equations
- Overlapping Schwarz methods in H(curl) on polyhedral domains
- Convergence of the Hiptmair--Xu Preconditioner for Maxwell's Equations with Jump Coefficients (i): Extensions of the Regular Decomposition
- Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
- A posteriori error estimators for elliptic equations with discontinuous coefficients
This page was built for publication: Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results
