Charbel Farhat

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We present a domain decomposition method with Lagrange multipliers for solving iteratively frictionless contact problems. This method, which is based on the FETI method and therefore is named here the FETIC method, incorporates a coarse contact system that guides the iterative prediction of the active zone of contact. We demonstrate numerically that this(More)
We present Salinas, a scalable implicit software application for the finite element static and dynamic analysis of complex structural real-world systems. This relatively complete engineering software with more than 100,000 lines of C<sup>++</sup> code and a long list of users sustains 292.5 Gflop/s on 2,940 ASCI Red processors, and 1.16 Tflop/s on 3,375(More)
A rigorous method for interpolating a set of parameterized linear structural dynamics reduced-order models (ROMs) is presented. By design, this method does not operate on the underlying set of parameterized full-order models. Hence, it is amenable to an on-line real-time implementation. It is based on mapping appropriately the ROM data onto a tangent space(More)
We propose a nite element based discretization method in which the standard polynomial eld is enriched within each element by a nonconforming eld that is added to it. The enrichment contains free-space solutions of the homogeneous diierential equation that are not represented by the underlying polynomial eld. Continuity of the enrichment across element(More)
The Gauss–Newton with approximated tensors (GNAT) method is a nonlinear model reduction method that operates on fully discretized computational models. It achieves dimension reduction by a Petrov– Galerkin projection associated with residual minimization; it delivers computational efficency by a hyperreduction procedure based on the ‘gappy POD’ technique.(More)