A fast solver for elliptic boundary-value problems in the square

DOI10.1016/S0045-7825(94)80030-8zbMath0820.65076OpenAlexW2012670498MaRDI QIDQ1892468

Daniele Funaro

Publication date: 14 June 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80030-8

zbMATH Keywords

convergenceiterative methodboundary layerscollocationadvection-diffusion equationspreconditionerfast algorithmstandard Legendre grid

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Spectral schemes on triangular elements

Cites Work

• Analysis of the Du Fort-Frankel method for linear systems
• A New Scheme for the Approximation of Advection-Diffusion Equations by Collocation

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