DOI10.1002/cnm.881zbMath1107.65104OpenAlexW2140639233MaRDI QIDQ3418164
David Horák, Zdeněk Dostál, Radek Kučera
Publication date: 2 February 2007
Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cnm.881
Treatment of Singular Matrices in the Hybrid Total FETI Method,
Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure,
Deflated preconditioned conjugate gradient solvers for linear elasticity,
Scalable preconditioning for the stabilized contact mechanics problem,
Scalable total BETI based algorithm for 3D coercive contact problems of linear elastostatics,
Engineering Multibody Contact Problems Solved by Scalable TBETI,
Boundary element tearing and interconnecting methods in unbounded domains,
A TFETI domain decomposition solver for elastoplastic problems,
Coupling of BEM subdomains -- BETI applied to collocation BEM with mixed basis functions,
A one-level FETI method for the drift-diffusion-Poisson system with discontinuities at an interface,
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition,
Comparison of different FETI preconditioners for elastoplasticity,
Numerical analysis of coupled heat and moisture transport in masonry,
Parallel solution of contact shape optimization problems based on total FETI domain decomposition method,
A dual domain decomposition algorithm for the analysis of non-conforming isogeometric Kirchhoff-Love shells,
Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities,
Classical and all-floating FETI methods for the simulation of arterial tissues,
On the use of graph centralities to compute generalized inverse of singular finite element operators: Applications to the analysis of floating substructures,
The impact of enabling multiple subdomains per MPI process in the TFETI domain decomposition method,
On large-scale generalized inverses in solving two-by-two block linear systems,
A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points,
A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction,
Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering,
The HTFETI Method Variant Gluing Cluster Subdomains by Kernel Matrices Representing the Rigid Body Motions,
Cholesky decomposition of a positive semidefinite matrix with known kernel,
Hybrid TFETI domain decomposition with the clusters joined by faces' rigid modes for solving huge 3D elastic problems,
Analysis of FETI methods for multiscale PDEs. II: Interface variation,
A scalable TFETI algorithm for two-dimensional multibody contact problems with friction,
A domain decomposition method for isogeometric multi-patch problems with inexact local solvers,
Bayesian inversion for steady flow in fractured porous media with contact on fractures and hydro-mechanical coupling,
On R-linear convergence of semi-monotonic inexact augmented Lagrangians for saddle point problems,
A domain decomposition strategy to efficiently solve structures containing repeated patterns,
Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using permoncube and FLLOP packages,
Scalable TFETI with optional preconditioning by conjugate projector for transient frictionless contact problems of elasticity,
IETI -- isogeometric tearing and interconnecting,
Non-overlapping domain decomposition solution schemes for structural mechanics isogeometric analysis,
Scalable TFETI algorithm for the solution of multibody contact problems of elasticity,
Theoretically supported scalable BETI method for variational inequalities,
Approximation and numerical realization of 3D quasistatic contact problems with Coulomb friction,
Reorthogonalization‐based stiffness preconditioning in FETI algorithms with applications to variational inequalities,
On the Moore–Penrose inverse in solving saddle‐point systems with singular diagonal blocks,
Analysis of FETI methods for multiscale PDEs,
Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART II - numerical realization, limit analysis,
Efficient Implementation of Total FETI Solver for Graphic Processing Units Using Schur Complement,
Solving Contact Mechanics Problems with PERMON,
Domain Decomposition and Parallel Direct Solvers as an Adaptive Multiscale Strategy for Damage Simulation in Quasi-Brittle Materials,
Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems,
Hybrid Localized Spectral Decomposition for Multiscale Problems,
Scaling up through domain decomposition,
Total FETI based algorithm for contact problems with additional non-linearities,
On Iterative Substructuring Methods for Multiscale Problems,
Parallel Implementation of Total-FETI DDM with Application to Medical Image Registration,
Total-FETI Method for Solving Contact Elasto-Plastic Problems,
The R-linear convergence rate of an algorithm arising from the semi-smooth Newton method applied to 2D contact problems with friction