Erratum: On the multi-level splitting of finite element spaces

DOI10.1007/BF01389672zbMath0625.65109OpenAlexW1986979441MaRDI QIDQ579891

Harry Yserentant

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133143

zbMATH Keywords

numerical exampleshierarchical basesstiffness matrixpreconditioned conjugate gradient methodhierarchical finite element basesmulti-level splittingnearly optimal condition number

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (14)

Multilevel preconditioning for the finite volume method ⋮ Analysis of multilevel methods for eddy current problems ⋮ Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods ⋮ Localization of elliptic multiscale problems ⋮ An adaptive wavelet viscosity method for hyperbolic conservation laws ⋮ Hierarchical decomposition of domains with fractures ⋮ $C^1$ spline wavelets on triangulations ⋮ Multilevel finite element preconditioning for √3 refinement ⋮ Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems ⋮ A multilevel successive iteration method for nonlinear elliptic problems ⋮ The hp -multigrid method applied to hp -adaptive refinement of triangular grids ⋮ Hierarchical bases give conjugate gradient type methods a multigrid speed of convergence ⋮ An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation ⋮ Incomplete Iterations in Multistep Backward Difference Methods for Parabolic Problems with Smooth and Nonsmooth Data

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