Condition number bounds for IETI-DP methods that are explicit in h and p

DOI10.1142/S0218202520500384zbMath1451.65223arXiv1912.07909OpenAlexW3046773987MaRDI QIDQ3386868

Rainer Schneckenleitner, Stefan Takacs

Publication date: 7 January 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07909

zbMATH Keywords

isogeometric analysisFETI-DP\(p\)-robustness

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) Preconditioners for iterative methods (65F08)

Related Items (6)

IETI-DP methods for discontinuous Galerkin multi-patch isogeometric analysis with T-junctions ⋮ BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis ⋮ Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA ⋮ A IETI-DP method for discontinuous Galerkin discretizations in isogeometric analysis with inexact local solvers ⋮ Isogeometric tearing and interconnecting solvers for linear elasticity in multi-patch isogeometric analysis with theory for two dimensional domains ⋮ Convergence theory for IETI-DP solvers for discontinuous Galerkin isogeometric analysis that is explicit in \(h\) and \(p\)

Uses Software

• G+Smo
• IETI
• GitHub

Cites Work

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• Extension Operators on Tensor Product Structures in Two and Three Dimensions
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