Jens L. Eftang

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We present a new “

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Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations

” parameter multidomain certified reduced basis (RB) method for rapid and reliable online evaluation of functional outputs associated with parametrized elliptic partial differential equations. We propose, and provide theoretical justification for, a new procedure for adaptive partition (“

An hp certified reduced basis method for parametrized parabolic partial differential equations

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A Two-Step Certified Reduced Basis Method

”-refinement) of the parameter domain into smaller parameter subdomains: we pursue a hierarchical splitting of the parameter (sub)domains based on proximity to judiciously chosen parameter anchor points within each subdomain. Subsequently, we construct individual standard RB approximation spaces (“

Approximation of Parametric Derivatives by the Empirical Interpolation Method

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Adaptive Port Reduction in Static Condensation

”-refinement) over each subdomain. Greedy parameter sampling procedures and a posteriori error estimation play important roles in both the “

PARAMETER MULTI-DOMAIN “hp” EMPIRICAL INTERPOLATION

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A Posteriori Error Bounds for the Empirical Interpolation Method

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Port reduction in parametrized component static condensation: approximation and a posteriori error estimation

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