Some observations on the TLM numerical solution of the Laplace equation

DOI10.1007/s10852-009-9112-6zbMath1179.35100OpenAlexW2135268635MaRDI QIDQ1043365

J. Blot

Publication date: 8 December 2009

Published in: JMMA. Journal of Mathematical Modelling and Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10852-009-9112-6

zbMATH Keywords

spectral radiusdifferential equationsLaplace equationFourier solutionstransmission line matrix (TLM) method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Cites Work

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• Accelerated convergence in TLM algorithms for the Laplace equation
• Boundary conditions in TLM diffusion modelling
• A simple explicit and unconditionally stable numerical routine for the solution of the diffusion equation
• Distribution in TLM models for diffusion (Part I: one-dimensional treatment)
• Numerical Solution of Partial Differential Equations

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