Domain Decomposition and Model Reduction of Systems with Local Nonlinearities

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dc.contributor.authorSun, K.en_US
dc.contributor.authorGlowinski, R.en_US
dc.contributor.authorHeinkenschloss, M.en_US
dc.contributor.authorSorensen, D.C.en_US
dc.date.accessioned2018-06-18T17:58:14Zen_US
dc.date.available2018-06-18T17:58:14Zen_US
dc.date.issued2007-11en_US
dc.date.noteNovember 2007en_US
dc.description.abstractThe goal of this paper is to combine balanced truncation model reduction and domain decomposition to derive reduced order models with guaranteed error bounds for systems of discretized partial differential equations (PDEs) with a spatially localized nonlinearities. Domain decomposition techniques are used to divide the problem into linear subproblems and small nonlinear subproblems. Balanced truncation is applied to the linear subproblems with inputs and outputs determined by the original in- and outputs as well as the interface conditions between the subproblems. The potential of this approach is demonstrated for a model problem.en_US
dc.format.extent8 ppen_US
dc.identifier.citationSun, K., Glowinski, R., Heinkenschloss, M., et al.. "Domain Decomposition and Model Reduction of Systems with Local Nonlinearities." (2007) <a href="https://hdl.handle.net/1911/102077">https://hdl.handle.net/1911/102077</a>.en_US
dc.identifier.digitalTR07-14en_US
dc.identifier.urihttps://hdl.handle.net/1911/102077en_US
dc.language.isoengen_US
dc.titleDomain Decomposition and Model Reduction of Systems with Local Nonlinearitiesen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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