Reduced-basis methods applied to problems in elasticity : analysis and applications

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Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations (2002, background): “On renvoit aussi à [11] pour plus de détails sur la mise en oeuvre et les applications”
Reduced basis method for linear elasticity problems with many parameters (2008, background): “Important extensions on the application of RB methods in linear elasticity may involve a dual problem to treat general outputs [33, 19] (the latter can be either linear or quadratic [12]) as well as the treatment of more general operators [18] accounting also for inertial effects.”
A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations (2002, unknown): “Ω to a fixed reference domain Ω. The abstract problem statement (3) is then recovered [ 23 ] for µ = {tf ,t t ,H , θ}, D =[ 0.08, 1.0] × [0.2, 2.0] × [4.0, 10.0] × [30.0◦, 60.0◦], and P =4 ; heretf and tt are”
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity (2005, background): “See [22] for a detailed presentation of the state of the art of the design problem and some examples.”