Adaptive BDDC Deluxe Methods for H(curl)

DOI10.1007/978-3-319-52389-7_29zbMath1371.78318OpenAlexW2595059538MaRDI QIDQ5282922

Stefano Zampini

Publication date: 17 July 2017

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52389-7_29

zbMATH Keywords

preconditioningMaxwell's equationsfinite element discretizations of the time-domain

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Preconditioners for iterative methods (65F08)

Related Items (12)

Isogeometric BDDC deluxe preconditioners for linear elasticity ⋮ Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form ⋮ BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis ⋮ Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media ⋮ BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields ⋮ Balancing Domain Decomposition by Constraints Algorithms for Curl-Conforming Spaces of Arbitrary Order ⋮ Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners ⋮ MFEM: a modular finite element methods library ⋮ Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs ⋮ A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains ⋮ Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity ⋮ BDDC domain decomposition algorithms

Uses Software

• PETSc
• MUMPS
• METIS
• DOLFIN
• ParMETIS
• PCBDDC

Cites Work

• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• An adaptive choice of primal constraints for BDDC domain decomposition algorithms
• An algebraic theory for primal and dual substructuring methods by constraints
• Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods
• Adaptive BDDC in three dimensions
• A BDDC Algorithm with Deluxe Scaling for Three-Dimensional H (curl) Problems
• Adaptive Coarse Spaces for FETI-DP in Three Dimensions
• PCBDDC: A Class of Robust Dual-Primal Methods in PETSc
• An Iterative Substructuring Algorithm for Two-Dimensional Problems in H(curl)
• DOLFIN
• Dual-primal FETI algorithms for edge finite-element approximations in 3D
• Parallel Auxiliary Space AMG for H(Curl) Problems
• Mixed Finite Element Methods and Applications
• Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
• Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations
• Dual-Primal FETI Algorithms for Edge Element Approximations: Two-Dimensional H And P Finite Elements on Shape-Regular Meshes

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