Reduced Basis Techniques for Stochastic Problems

An analysis of the finite element method

Advances in Water Resources · 1980 · 3.5K citations

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An Analysis of the Finite Element Method

E. I., Gilbert Strang, George J. Fix · Mathematics of Computation · 1974 · 3.5K citations

Computing, Computational Engineering, Mechanical Engineering +12

A posteriori error estimation in finite element analysis

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An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

Maxime Barrault, Yvon Maday, Ngoc Cuong Nguyen et al. · Comptes Rendus Mathématique · 2004 · 1.5K citations

Natural Sciences, Physics, Computational Mechanics +13

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Ivo Babuška, Fabio Nobile, Raúl Tempone · SIAM Journal on Numerical Analysis · 2007 · 1.4K citations · Full text

Computing, Computational Engineering, Probability Theory +16