Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations

DOI10.1016/j.cma.2016.03.031zbMath1439.65140arXiv1601.01808OpenAlexW2231957864MaRDI QIDQ2308958

Christoph Hofer, Ulrich Langer

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01808

zbMATH Keywords

domain decompositiondiffusion problemsdiscontinuous Galerkinisogeometric analysisheterogeneous diffusion coefficientsETI-DP algorithms

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (30)

IETI-DP methods for discontinuous Galerkin multi-patch isogeometric analysis with T-junctions ⋮ Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods ⋮ Coupling adaptively refined multi-patch spline discretizations via boundary compatibility ⋮ Isogeometric BDDC deluxe preconditioners for linear elasticity ⋮ Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems ⋮ Overlapping multi-patch structures in isogeometric analysis ⋮ A dual domain decomposition algorithm for the analysis of non-conforming isogeometric Kirchhoff-Love shells ⋮ 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 ⋮ Discretization error estimates for discontinuous Galerkin isogeometric analysis ⋮ Isogeometric tearing and interconnecting solvers for linear elasticity in multi-patch isogeometric analysis with theory for two dimensional domains ⋮ Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods ⋮ Optimal trace inequality constants for interior penalty discontinuous Galerkin discretisations of elliptic operators using arbitrary elements with non-constant Jacobians ⋮ Volumetric embedded entities for the isogeometric analysis of complex structures ⋮ Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods ⋮ A domain decomposition method for isogeometric multi-patch problems with inexact local solvers ⋮ Generating star-shaped blocks for scaled boundary multipatch IGA ⋮ Non-overlapping domain decomposition solution schemes for structural mechanics isogeometric analysis ⋮ The INTERNODES method for the treatment of non-conforming multipatch geometries in isogeometric analysis ⋮ Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions ⋮ Discontinuous Galerkin isogeometric analysis of elliptic problems on segmentations with non-matching interfaces ⋮ Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers ⋮ Overlapping Schwarz methods for isogeometric analysis based on generalized B-splines ⋮ Fast multigrid solvers for conforming and non-conforming multi-patch isogeometric analysis ⋮ Overlapping additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity ⋮ Condition number bounds for IETI-DP methods that are explicit in h and p ⋮ Dual-Primal Isogeometric Tearing and Interconnecting Methods ⋮ Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps ⋮ Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity ⋮ Convergence theory for IETI-DP solvers for discontinuous Galerkin isogeometric analysis that is explicit in \(h\) and \(p\)

Uses Software

• G+Smo
• IETI

Cites Work

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