Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations

Abstract

In this paper we consider a new version of the dual-primal isogeometric tearing and interconnecting (IETI-DP) method for solving large-scale linear systems of algebraic equations arising from discontinuous Galerkin (dG) isogeometric analysis of diffusion problems on multipatch domains with non-matching meshes. The dG formulation is used to couple the local problems across patch interfaces. The purpose of this paper is to present this new method and provide numerical examples indicating a polylogarithmic condition number bound for the preconditioned system and showing an incredible robustness with respect to large jumps in the diffusion coefficient across the interfaces.

arXiv admin note: text overlap with arXiv:1511.07183

References in corpus (2)

• A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction
• Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations

Cited by in corpus (9)

• A domain decomposition method for Isogeometric multi-patch problems with inexact local solvers
• Condition number bounds for IETI-DP methods that are explicit in h and p
• Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
• IETI-DP methods for discontinuous Galerkin multi-patch Isogeometric Analysis with T-junctions
• Fast multigrid solvers for conforming and non-conforming multi-patch Isogeometric Analysis
• The INTERNODES method for the treatment of non-conforming multipatch geometries in Isogeometric Analysis
• Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
• Isogeometric Simulation and Shape Optimization with Applications to Electrical Machines
• Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods