Discontinuous Galerkin isogeometric analysis of elliptic problems on segmentations with non-matching interfaces

DOI10.1016/j.camwa.2016.07.039zbMath1361.65088OpenAlexW2516932879MaRDI QIDQ521524

Ioannis Toulopoulos, Christoph Hofer

Publication date: 11 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.039

zbMATH Keywords

numerical examplesa priori error estimatesisogeometric analysiselliptic diffusion problemsheterogeneous diffusion coefficientsincorrect segmentationmulti-patch discontinuous Galerkin methodnon-matching parametrized interfaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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 (8)

Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods ⋮ Coupling adaptively refined multi-patch spline discretizations via boundary compatibility ⋮ A priori error analysis for an isogeometric discontinuous Galerkin approximation for convection problems on surfaces ⋮ Hybridized isogeometric method for elliptic problems on CAD surfaces with gaps ⋮ Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods ⋮ Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions ⋮ Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers ⋮ Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps

Uses Software

• G+Smo

Cites Work

• Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
• Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7--10, 2014
• Domain decomposition methods for the numerical solution of partial differential equations
• Planar domain parameterization with THB-splines
• Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems
• Isogeometric mortar methods
• Theory and practice of finite elements.
• Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations
• Nitsche's method for two and three dimensional NURBS patch coupling
• The Isogeometric Segmentation Pipeline
• Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps
• A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis
• Isogeometric Analysis
• Dual-Primal Isogeometric Tearing and Interconnecting Methods
• A practical guide to splines.
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