A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation

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dc.contributor.authorDawson, Clint N.
dc.contributor.authorDu, Qiang
dc.contributor.authorDupont, T.F.
dc.date.accessioned2018-06-18T17:30:09Z
dc.date.available2018-06-18T17:30:09Z
dc.date.issued1990-10
dc.date.noteOctober 1990
dc.description.abstractA domain decomposition algorithm for numerically solving the heat equation in one and two space dimensions is presented. In this procedure, interface values between subdomains are found by an explicit finite difference formula. Once these values are calculated, interior values are determined by backward differencing in time. A natural extension of this method allows for the use of different time steps in different subdomains. Maximum norm error estimates for these procedures are derived, which demonstrate that the error incurred at the interfaces is higher order in the discretization parameters.
dc.format.extent12 pp
dc.identifier.citationDawson, Clint N., Du, Qiang and Dupont, T.F.. "A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation." (1990) <a href="https://hdl.handle.net/1911/101688">https://hdl.handle.net/1911/101688</a>.
dc.identifier.digitalTR90-24
dc.identifier.urihttps://hdl.handle.net/1911/101688
dc.language.isoeng
dc.titleA Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
dc.typeTechnical report
dc.type.dcmiText
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