Domain-imbedding alternating direction method for linear elliptic equations on irregular regions using collocation

DOI10.1002/num.1690090109zbMath0764.65069OpenAlexW1986036821MaRDI QIDQ4033484

Publication date: 16 May 1993

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690090109

zbMATH Keywords

convergence collocation cubic Hermite splines elliptic equation irregular regions alternating direction iteration domain-imbedding

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) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10)

Related Items (6)

Nonconforming spline collocation methods in irregular domains II: Error analysis ⋮ Meshless local B-spline-FD method and its application for 2D heat conduction problems with spatially varying thermal conductivity ⋮ An overdetermined B-spline collocation method for Poisson problems on complex domains ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Nonconforming spline collocation methods in irregular domains ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications

Cites Work

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