Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
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Publication:1663824
DOI10.1016/j.camwa.2017.06.051zbMath1397.65267arXiv1611.08122OpenAlexW2963363678MaRDI QIDQ1663824
Publication date: 24 August 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.08122
Numerical computation using splines (65D07) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (9)
Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods ⋮ Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems ⋮ Inexact 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 ⋮ Overlapping Schwarz methods for isogeometric analysis based on generalized B-splines ⋮ Overlapping additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity ⋮ Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems ⋮ Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity
Uses Software
Cites Work
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- Finite and boundary element tearing and interconnecting solvers for multiscale problems
- THB-splines: The truncated basis for hierarchical splines
- Strongly stable bases for adaptively refined multilevel spline spaces
- IETI -- isogeometric tearing and interconnecting
- Discontinuous Galerkin isogeometric analysis of elliptic problems on segmentations with non-matching interfaces
- An algebraic theory for primal and dual substructuring methods by constraints
- Recent trends in computational engineering -- CE2014. Optimization, uncertainty, parallel algorithms, coupled and complex problems. Selected contributions based on the presentations at the 3rd international workshop on computational engineering, Stuttgart, Germany, October 6--10, 2014
- Mathematical aspects of discontinuous Galerkin methods.
- Isogeometric analysis using T-splines
- Parallel iterative substructuring in structural mechanics
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7--10, 2014
- Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
- Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems
- Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations
- The value of continuity: refined isogeometric analysis and fast direct solvers
- BDDC methods for discontinuous Galerkin discretization of elliptic problems
- The Isogeometric Segmentation Pipeline
- A Nonlinear FETI-DP Method with an Inexact Coarse Problem
- Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps
- BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS
- Nonlinear FETI-DP and BDDC Methods
- Isogeometric BDDC Preconditioners with Deluxe Scaling
- Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners
- 3-D FETI-DP Preconditioners for Composite Finite Element-Discontinuous Galerkin Methods
- Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Inexact FETI-DP methods
- A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis
- A Tutorial on Elliptic PDE Solvers and Their Parallelization
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
- A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method
- Discontinuous Galerkin methods for the biharmonic problem
- DUAL-PRIMAL METHODS FOR THE CARDIAC BIDOMAIN MODEL
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
- Highly scalable parallel domain decomposition methods with an application to biomechanics
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