A three-level domain decomposition is considered. Bodies in contact with each other are divided into subdomains, which in turn are the union of elements. Using an approach based purely on FETI (finite element tearing and interconnecting) algorithms with only Lagrange multipliers as unknowns, which has been developed by the engineering community, does not lead to a scalable algorithm with respec...

A FETI-DP formulation for three dimensional elasticity problems on non-matching grids is considered. To resolve the nonconformity of the finite elements, a mortar matching condition is imposed on subdomain interfaces. The mortar matching condition are considered as weak continuity constraints in the FETIDP formulation. A relatively large set of primal constraints, which include average and mome...

We have recently introduced the Boundary Element Tearing and Interconnecting (BETI) methods as boundary element counterparts of the wellestablished Finite Element Tearing and Interconnecting (FETI) methods. Since Finite Element Methods (FEM) and Boundary Element Methods (BEM) have certain complementary properties, it is sometimes very useful to couple these discretization techniques and to bene...

Imposed movements of the apodeme of the femoral chordotonal organ (FeCO) of the locust hind leg elicit resistance reflexes in extensor and flexor tibiae motor neurons. The synaptic responses of the fast and slow extensor tibiae motor neurons (FETi and SETi, respectively) and the spike responses of SETi were analyzed with the use of the Wiener kernel white noise method to determine their respons...

Elliptic variational inequalities with multiple bodies are considered. It is assumed 7 that an active set method is used to handle the nonlinearity of the inequality constraint, which 8 results in auxiliary linear problems. We describe two domain decomposition methods for solv9 ing such linear problems, namely, the FETI-FETI (finite element tearing and interconnecting) 10 and hybrid methods, wh...

The dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method (DDM) is extended to address the iterative solution of a class of indefinite problems of the form ( K − 2M)u = f , and a class of complex problems of the form (K − 2M+ i D)u = f , where K, M, and D are three real symmetric matrices arising from the finite element discretization of solid and shell dy...