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An Efficient Reduced-Order Approach for Nonaffine and Nonlinear Partial Differential Equations
(2007-01)
In the presence of nonaffine and highly nonlinear terms in parametrized partial differential equations, the standard Galerkin reduced-order approach is no longer efficient, because the evaluation of these terms involves ...
Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis
(2007-01)
This paper reports the development of reduced
basis approximations, rigorous a posteriori error bounds, and offline-online computational procedures for the accurate, fast and reliable predictions of stress intensity factors ...