A BDDC algorithm with deluxe scaling for $H(curl)$ in two dimensions with irregular subdomains

DOI10.1090/mcom/3028zbMath1332.65178OpenAlexW1593326663MaRDI QIDQ2792358

Juan G. Calvo

Publication date: 9 March 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3028

zbMATH Keywords

discontinuous coefficientsdomain decompositionMaxwell's equationspreconditionersirregular subdomain boundaries\(H(\mathrm{curl})\)BDDC preconditioner

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10)

Related Items (9)

BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis ⋮ On the Design of Small Coarse Spaces for Domain Decomposition Algorithms ⋮ 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 FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems ⋮ A BDDC Algorithm with Deluxe Scaling for Three-Dimensional H (curl) Problems ⋮ A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains ⋮ Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach ⋮ PCBDDC: A Class of Robust Dual-Primal Methods in PETSc

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