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

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dc.contributor.authorDawson, Clint N.en_US
dc.contributor.authorDu, Qiangen_US
dc.contributor.authorDupont, T.F.en_US
dc.date.accessioned2018-06-18T17:30:09Zen_US
dc.date.available2018-06-18T17:30:09Zen_US
dc.date.issued1990-10en_US
dc.date.noteOctober 1990en_US
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.en_US
dc.format.extent12 ppen_US
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>.en_US
dc.identifier.digitalTR90-24en_US
dc.identifier.urihttps://hdl.handle.net/1911/101688en_US
dc.language.isoengen_US
dc.titleA Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equationen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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