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A Static condensation Reduced Basis Element method : approximation and a posteriori error estimation

Dinh Bao Phuong HuynhDavid J. KnezevicAnthony T. Patera — 2013

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We propose a new reduced basis element-cum-component mode synthesis approach for parametrized elliptic coercive partial differential equations. In the Offline stage we construct a Library of interoperable parametrized reference relevant to some family of problems; in the Online stage we instantiate and connect reference components (at ports) to rapidly form and query parametric . The method is based on static condensation at the interdomain level, a conforming eigenfunction “port” representation...

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