A unified framework for adaptive BDDC

From MaRDI portal
Publication:2011679

zbMath1368.65043MaRDI QIDQ2011679

Clark R. Dohrmann, Clemens Pechstein

Publication date: 4 August 2017

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol46/abstract_vol46_pp273-336.html




Related Items

Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2DBDDC and FETI-DP algorithms with a change of basis formulation on adaptive primal constraintsTwo-level Overlapping Schwarz Methods Based on Local Generalized Eigenproblems for Hermitian Variational ProblemsIsogeometric BDDC deluxe preconditioners for linear elasticityBDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric AnalysisMultilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous MediaA comparative study of scalable multilevel preconditioners for cardiac mechanicsCombining machine learning and domain decomposition methods for the solution of partial differential equations—A reviewRobust BDDC algorithms for finite volume element methodsNon-overlapping domain decomposition algorithms with only primal velocity unknowns for the discontinuous viscosity Stokes problemAdaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systemsBDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficientsA unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross pointsBDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fieldsOn Overlapping Domain Decomposition Methods for High-Contrast Multiscale ProblemsPreconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DPAdaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe PreconditionersAn adaptive BDDC method enhanced with prior selected primal constraintsKSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditionersA frugal FETI-DP and BDDC coarse space for heterogeneous problemsMultilevel BDDC for Incompressible Navier--Stokes EquationsOverlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3DAnalysis, improvement and limits of the multiscale Latin methodAdaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problemsAdditive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problemsFrom Additive Average Schwarz Methods to Nonoverlapping Spectral Additive Schwarz MethodsAn adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretizationMachine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of ConstraintsA two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functionsCoarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approachAdaptive Coarse Spaces for FETI-DP in Three DimensionsMathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solvesPhysics-based balancing domain decomposition by constraints for multi-material problemsOn adaptive BDDC for the flow in heterogeneous porous media.Hybrid Localized Spectral Decomposition for Multiscale ProblemsBlock FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticityVertex-Based Preconditioners for the Coarse Problems of BDDCAdaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three DimensionsBDDC domain decomposition algorithmsBalancing Domain Decomposition by Constraints and PerturbationMultilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir SimulationAdaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods