Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity
From MaRDI portal
Publication:4992231
DOI10.1090/mcom/3614OpenAlexW3128256603MaRDI QIDQ4992231
Olof B. Widlund, Luca F. Pavarino, Stefano Zampini, Simone Scacchi
Publication date: 7 June 2021
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3614
domain decompositionisogeometric analysisNURBSFETI-DPalmost incompressible linear elasticityBDDC deluxecontinuous pressure fields
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)
Related Items (6)
BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations ⋮ Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form ⋮ BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis ⋮ Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA ⋮ Isogeometric tearing and interconnecting solvers for linear elasticity in multi-patch isogeometric analysis with theory for two dimensional domains ⋮ BDDC domain decomposition algorithms
Uses Software
Cites Work
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Multigrid methods for isogeometric discretization
- Isogeometric Schwarz preconditioners for linear elasticity systems
- IETI -- isogeometric tearing and interconnecting
- Application of the parallel BDDC preconditioner to the Stokes flow
- A two-level nonoverlapping Schwarz algorithm for the Stokes problem: numerical study
- Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity
- Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
- Overlapping Schwarz methods for mixed linear elasticity and Stokes problems
- A unified framework for adaptive BDDC
- Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John's, Newfoundland and Labrador, Canada, July 23--27, 2018
- A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties
- PetIGA: a framework for high-performance isogeometric analysis
- Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations
- Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems
- A black-box low-rank approximation algorithm for fast matrix assembly in isogeometric analysis
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
- A BDDC Algorithm with Deluxe Scaling for Three-Dimensional H (curl) Problems
- BDDC Deluxe Domain Decomposition
- PCBDDC: A Class of Robust Dual-Primal Methods in PETSc
- Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation
- BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS
- A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem
- A Nonoverlapping Domain Decomposition Method for Incompressible Stokes Equations with Continuous Pressures
- Isogeometric BDDC Preconditioners with Deluxe Scaling
- Overlapping Schwarz Methods for Isogeometric Analysis
- A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations
- Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis
- Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners
- Dual-primal FETI methods for linear elasticity
- FETI-DP, BDDC, and block Cholesky methods
- A Robust Multigrid Method for the Time-Dependent Stokes Problem
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- Isogeometric BDDC deluxe preconditioners for linear elasticity
- Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
- BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
- Isogeometric Analysis
- Mixed Finite Element Methods and Applications
- Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique
- Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces
- BDDC domain decomposition algorithms
- Balancing Domain Decomposition by Constraints Algorithms for Curl-Conforming Spaces of Arbitrary Order
- A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations
- Adaptive BDDC Deluxe Methods for H(curl)
- Convergence of a balancing domain decomposition by constraints and energy minimization
- An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method
- Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
This page was built for publication: Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity
