DOI10.1007/BF01385873zbMath0796.65129OpenAlexW1990671420MaRDI QIDQ1326420
Xuejun Zhang
Publication date: 10 October 1994
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133693
Parallel multiplicative Schwarz preconditioner for solving nonselfadjoint elliptic problems,
A basic norm equivalence for the theory of multilevel methods,
New convergence estimates for multilevel algorithms for finite-element approximations,
A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations,
Multiresolution weighted norm equivalencies and applications,
A FE-BE coupling for a fluid-structure interaction problem: Hierarchical a posteriori error estimates,
Parallel two-level space-time hybrid Schwarz method for solving linear parabolic equations,
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems,
Unnamed Item,
Analysis of multilevel methods for eddy current problems,
A hybrid multilevel Schwarz method for the bidomain model,
Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods,
Convergence of nonconforming $V$-cycle and $F$-cycle multigrid algorithms for second order elliptic boundary value problems,
Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation,
Schwarz iterations for the efficient solution of screen problems with boundary elements,
Two-level Schwarz methods for Wilson element approximation of elasticity problem,
Multilevel preconditioned augmented Lagrangian techniques for \(2\)nd order mixed problems,
Parallel point- and domain-oriented multilevel methods for elliptic PDE's on workstation networks,
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods,
Convergence analysis of space-time domain decomposition method for parabolic equations,
Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains,
Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D,
An Additive Schwarz Analysis for Multiplicative Schwarz Methods: General Case,
Saddle point least squares preconditioning of mixed methods,
Additive schwarz methods for the H-version boundary element method,
Domain decomposition methods for boundary integral equations of the first kind: numerical results,
A multilevel hybrid Newton-Krylov-Schwarz method for the bidomain model of electrocardiology,
A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with $p$-Robust Behavior,
Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs,
A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems,
Hierarchical basis preconditioners for first kind integral equations,
Multilevel Schwarz methods for elliptic partial differential equations,
Least squares preconditioning for mixed methods with nonconforming trial spaces,
Direct optimization of BPX preconditioners,
Additive multilevel preconditioners based on bilinear interpolation, matrix-dependent geometric coarsening and algebraic multigrid coarsening for second-order elliptic PDEs,
Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations,
A convergence theory of multilevel additive Schwarz methods on unstructured meshes,
Parallel adaptive mesh refinement for first‐order system least squares,
Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes,
Preconditioning a class of fourth order problems by operator splitting,
Optimal extensions on tensor-product meshes,
Additive Schwarz-type preconditioner for Hermite cubic splines.,
Overlapping additive Schwarz preconditioners for boundary element methods,
Subspace correction methods for nonsymmetric parabolic problems,
Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity,
Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations,
Some multilevel methods on graded meshes,
Contractive local adaptive smoothing based on Dörfler's marking in a-posteriori-steered \(p\)-robust multigrid solvers,
Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves,
BPX preconditioner for hypersingular integral equations,
Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods,
Multilevel preconditioning for the boundary concentrated \(hp\)-FEM,
Unnamed Item,
Parallel adaptive subspace correction schemes with applications to elasticity,
Extension by zero in discrete trace spaces: Inverse estimates,
Forty Years of the Crouzeix‐Raviart element,
A robust multilevel preconditioner based on a domain decomposition method for the Helmholtz equation,
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion,
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions,
A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients,
On a BPX-preconditioner for P1 elements,
On the robustness of the BPX-preconditioner with respect to jumps in the coefficients,
Smoothers, mesh dependent norms, interpolation and multigrid,
Acceleration of the non-symmetrized two-level iteration,
Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements