Component-based Reduced Basis for Eigenproblems
نویسنده
چکیده
A component-based approach is introduced for fast and flexible solution of parameter-dependent eigenproblems. We consider a shifted version of the eigenproblem where the left hand side operator corresponds to an equilibrium between the stiffness operator and a weighted mass operator. This permits to apply the Static Condensation Reduced Basis Element method, a domain synthesis approach with reduced basis approximation at the intradomain level. We provide eigenvalue a posteriori error estimators and we present various numerical results of modal analysis of structures. We are able to obtain several orders of magnitude speed-up compared to a classical Finite Element Method.
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