A generalized Schwarz splitting method based on Hermite collocation for elliptic boundary value problems

DOI10.1016/0168-9274(96)00014-1zbMath0879.65073OpenAlexW1989485818MaRDI QIDQ1924759

Yu-Ling Lai, Elias N. Houstis, Apostolos Hadjidimos

Publication date: 11 December 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2086&context=cstech

zbMATH Keywords

convergenceelliptic boundary value problemsSchwarz alternating methodHermite collocationSchwarz splitting method

Mathematics Subject Classification ID

Point estimation (62F10) 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)

Related Items

Orthogonal spline collocation methods for partial differential equations

Uses Software

• ELLPACK

Cites Work

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• Multi-parameterized Schwarz alternating methods for elliptic boundary value problems.
• General interior Hermite collocation methods for second-order elliptic partial differential equations
• Numerical analogs to the Schwarz alternating procedure
• Block AOR Iteration for Nonsymmetric Matrices
• Collocation software for second-order elliptic partial differential equations
• The Schwarz Algorithm for Spectral Methods
• A Schwarz alternating procedure using spline collocation methods
• Generalized Schwarz Splittings
• On the Iterative Solution of Hermite Collocation Equations