DOI<57::AID-CPA3>3.0.CO;2-D 10.1002/1097-0312(200101)54:1<57::AID-CPA3>3.0.CO;2-DzbMath1023.65120OpenAlexW1992110290MaRDI QIDQ2710674
Olof B. Widlund, Axel Klawonn
Publication date: 26 April 2001
Full work available at URL: https://doi.org/10.1002/1097-0312(200101)54:1<57::aid-cpa3>3.0.co;2-d
Extended preconditioners for the FETI method applied to constrained problems,
Balancing Neumann-Neumann methods for incompressible Stokes equations,
Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method,
Boundary element tearing and interconnecting methods in unbounded domains,
Parallel iterative substructuring in structural mechanics,
Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity,
A TFETI domain decomposition solver for elastoplastic problems,
A one-level FETI method for the drift-diffusion-Poisson system with discontinuities at an interface,
Linear and nonlinear substructured restricted additive Schwarz iterations and preconditioning,
A dual iterative substructuring method with a penalty term in three dimensions,
Implementation of a new expression for the search direction in simulations of structures with buckling and post-buckling: ``two-scale impedance, Total and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problems, Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms, Classical and all-floating FETI methods for the simulation of arterial tissues, Substructured formulations of nonlinear structure problems - influence of the interface condition, Displacement‐based partitioned equations of motion for structures: Formulation and proof‐of‐concept applications, A domain decomposition strategy for mCRE-based model updating in dynamics, The impact of enabling multiple subdomains per MPI process in the TFETI domain decomposition method, Asynchronous global-local non-invasive coupling for linear elliptic problems, Solving dynamic contact problems with local refinement in space and time, Best Constants for Weighted Poincaré–Type Inequalities, Learning adaptive coarse basis functions of FETI-DP, Variational theory and domain decomposition for nonlocal problems, Analysis of FETI methods for multiscale PDEs. II: Interface variation, Fast estimation of discretization error for FE problems solved by domain decomposition, On the initial estimate of interface forces in FETI methods., An extension of the FETI domain decomposition method for incompressible and nearly incompressible problems., The mosaic of high performance domain decomposition methods for structural mechanics: formulation, interrelation and numerical efficiency of primal and dual methods., A numerical study on Neumann-Neumann and FETI methods for \(hp\) approximations on geometrically refined boundary layer meshes in two dimensions., A domain decomposition method for isogeometric multi-patch problems with inexact local solvers, Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach, A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods, A continuous framework for FETI-DP with a mesh independent condition number for the dual problem, A domain decomposition method for problems with structural heterogeneities on the interface: application to a passenger ship, Weighted Poincaré Inequalities and Applications in Domain Decomposition, A Domain Decomposition Method Based on Augmented Lagrangian with a Penalty Term in Three Dimensions, Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using permoncube and FLLOP packages, Analysis, improvement and limits of the multiscale Latin method, IETI -- isogeometric tearing and interconnecting, Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems, BDDC and FETI-DP under minimalist assumptions, Preconditioners for the dual-primal FETI methods on nonmatching grids: Numerical study, DUAL-PRIMAL METHODS FOR THE CARDIAC BIDOMAIN MODEL, Stable boundary element domain decomposition methods for the Helmholtz equation, Reorthogonalization‐based stiffness preconditioning in FETI algorithms with applications to variational inequalities, An Adaptive MultiPreconditioned Conjugate Gradient Algorithm, A scalable FETI-DP algorithm for a coercive variational inequality, A domain decomposition method using efficient interface-acting preconditioners, An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics, An algebraic theory for primal and dual substructuring methods by constraints, Iterative solvers for coupled fluid-solid scattering, Parallel FETI algorithms for mortars, FETI domain decomposition methods for scalar advection-diffusion problems, A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface, Non-overlapping domain decomposition method for a nodal finite element method, FETI Domain Decomposition Methods for Second Order Elliptic Partial Differential Equations, Analysis of FETI methods for multiscale PDEs, Results on Nonlocal Boundary Value Problems, On dual Schur domain decomposition method for linear first-order transient problems, Strict bounding of quantities of interest in computations based on domain decomposition, Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach, Adaptive Coarse Spaces for FETI-DP in Three Dimensions, Non-overlapping domain decomposition methods in structural mechanics, The all-floating boundary element tearing and interconnecting method, Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers. II: Blending FETI-DP and mortar methods and assembling floating substructures, A scalable FETI-DP algorithm for a semi-coercive variational inequality, BDDC and FETI-DP preconditioners for spectral element discretizations, Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods, Robust FETI-DP methods for heterogeneous three dimensional elasticity problems, On the use of inexact subdomain solvers for BDDC algorithms, Restricted overlapping balancing domain decomposition methods and restricted coarse problems for the Helmholtz problem, Scaling up through domain decomposition, Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity, A dual-primal FETI method for incompressible Stokes equations, FETI Solvers for Non-standard Finite Element Equations Based on Boundary Integral Operators, An iterative substructuring method for coupled fluid-solid acoustic problems