Error Estimation for Reduced-Basis Approximation of Parametrized Elliptic Coercive Partial Differential Equations: “Convex Inverse” Bound Conditioners
Karen Veroy, Dimitrios V. Rovas, Anthony T. Patera (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We present a technique for the rapid and reliable prediction of linear-functional outputs of elliptic coercive partial differential equations with affine parameter dependence. The essential components are () (provably) rapidly convergent global reduced-basis approximations – Galerkin projection onto a space spanned by solutions of the governing partial differential equation at selected points in parameter space; () error estimation – relaxations of the error-residual...