A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer
type: Item
instance of: scholarly article
title: A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer
zbMATH Open document ID: 0926.65121
author: K. Balakrishnan
author: P. A. Ramachandran
published in: Journal of Computational Physics
publication date: 1999-11-22T00:00:00Z
review text: The authors present a collocation method for the nonlinear Poisson equation, based on radially-symmetric particular solutions which have singularities outside the domain of the problem. The nonlinear source term is handled by inverting the collocation matrix for the interior points and using quasi-Newton iterations.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 1278956
zbMATH Keywords: nonlinear Poisson equation
zbMATH Keywords: collocation
zbMATH Keywords: Trefftz method
zbMATH Keywords: heat and mass transfer
zbMATH Keywords: quasi-Newton iterations
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
full work available at URL: jcph.1998.6178
OpenAlex ID: W2025134158
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DOI: 10.1006/JCPH.1998.6178
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description: scientific article; zbMATH DE number 1278956