scientific article

zbMath1156.65095MaRDI QIDQ3533511

Ludmil T. Zikatanov, Durkbin Cho

Publication date: 23 October 2008

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

zbMATH Keywords

condition numbermultilevel methodsauxiliary space preconditioninggeneralized finite element methodsunstructured simplicial meshes

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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)

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An algebraic multigrid approach to solve extended finite element method based fracture problems ⋮ A note on the singular linear system of the generalized finite element methods ⋮ A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics ⋮ An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities ⋮ An auxiliary space preconditioner for linear elasticity based on the generalized finite element method

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