A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential 
Equations

Christophe Prud'homme; Dimitrios V. Rovas; Karen Veroy; Anthony T. Patera

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Displaying similar documents to “A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations”

Error Estimation for Reduced-Basis Approximation of Parametrized Elliptic Coercive Partial Differential Equations: “Convex Inverse” Bound Conditioners

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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...