Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps

DOI10.1137/15M1048574zbMath1352.65509arXiv1511.05715MaRDI QIDQ2831083

Ioannis Toulopoulos, Christoph Hofer, Ulrich Langer

Publication date: 2 November 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05715

zbMATH Keywords

convergencenumerical examplesisogeometric analysiselliptic diffusion problemsheterogeneous diffusion coefficientsdiscontinuous diffusion coefficientsmultipatch discontinuous Galerkin methodsegmentation crimes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (8)

Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods ⋮ Hybridized isogeometric method for elliptic problems on CAD surfaces with gaps ⋮ Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods ⋮ Numerical solution for Schrödinger eigenvalue problem using isogeometric analysis on implicit domains ⋮ 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 ⋮ Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients

Uses Software

• G+Smo
• IETI

Cites Work

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