Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method

DOI10.1007/s002110050096zbMath0834.65034OpenAlexW2074250763MaRDI QIDQ1347049

Jim jun. Douglas, Elwood T. Olsen

Publication date: 31 March 1996

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

Full work available at URL: https://doi.org/10.1007/s002110050096

zbMATH Keywords

Chebyshev polynomialsdomain decompositionLegendre polynomialscondition numberstensor product spaces\(p\)-version finite elementsiterative substructuring methodsLagrangian nodal basis

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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