scientific article; zbMATH DE number 1836348

zbMath1012.65131MaRDI QIDQ4782017

Ludmil T. Zikatanov, Jin-Chao Xu

Publication date: 17 June 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergencefinite element methodsmultigrid methodsPoisson equationsingular systemspartition of unity

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Heterogeneous multiscale method for optimal control problem governed by parabolic equation with highly oscillatory coefficients ⋮ \(P\)-proper splittings ⋮ DOF‐gathering stable generalized finite element methods for crack problems ⋮ A note on the conditioning of a class of generalized finite element methods ⋮ A note on the singular linear system of the generalized finite element methods ⋮ Generalizations of the finite element method ⋮ Multilevel preconditioning for partition of unity methods: some analytic concepts ⋮ Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem ⋮ A sharp convergence estimate for the method of subspace corrections for singular systems of equations ⋮ Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities

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