IETI-DP methods for discontinuous Galerkin multi-patch isogeometric analysis with T-junctions

DOI10.1016/j.cma.2022.114694OpenAlexW3202643342MaRDI QIDQ2138751

Rainer Schneckenleitner, Stefan Takacs

Publication date: 12 May 2022

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

Full work available at URL: https://arxiv.org/abs/2109.13147

zbMATH Keywords

isogeometric analysissymmetric interior penalty discontinuous Galerkinnon-conforming multi-patch domain

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (4)

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 ⋮ Multigrid solvers for isogeometric discretizations of the second biharmonic problem

Uses Software

• G+Smo
• IETI
• GitHub

Cites Work

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• Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations
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• Discontinuous finite element methods for the simulation of rotating electrical machines
• A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines
• Condition number bounds for IETI-DP methods that are explicit in h and p
• An Interior Penalty Finite Element Method with Discontinuous Elements
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
• Isogeometric Analysis
• A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method

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