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Proper Generalized Decomposition of Parameterized Electrothermal Problems Discretized by the Finite Integration Technique (1812.06867v2)
Published 17 Dec 2018 in cs.CE
Abstract: The proper generalized decomposition is applied to a static electrothermal model subject to uncertainties. A reduced model that circumvents the curse of dimensionality is obtained. The quadratic electrothermal coupling term is non-standard and requires the introduction of a trilinear form. An existing finite integration technique based solver is used to demonstrate the opportunities and difficulties in integrating the proper generalized decomposition in existing codes.