Symmetric-Iterative Solution of Coupled BE and FE Discretizations for Elastoplastics

Iterative Method for Mirror-Symmetric Solution of Matrix Equation AXB + CY D = E

Mixed Constraint Preconditioners for the iterative solution of FE coupled consolidation equations

The Finite Element (FE) integration of the coupled consolidation equations requires the solution of linear symmetric systems with an indefinite saddle point coefficient matrix. Because of ill-conditioning, the repeated solution in time of the FE equations may be a major computational issue requiring ad hoc preconditioning strategies to guarantee the efficient convergence of Krylov subspace meth...

Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations

A major computational issue in the finite element (FE) integration of coupled consolidation equations is the repeated solution in time of the resulting discretized indefinite system. Because of ill-conditioning, the iterative solution, which is recommended in large size 3D settings, requires the computation of a suitable preconditioner to guarantee convergence. In this paper the coupled system ...

Iterative Solution of Skew-Symmetric Linear Systems

We offer a systematic study of Krylov subspace methods for solving skew-symmetric linear systems. For the method of conjugate gradients we derive a backward stable block decomposition of skew-symmetric tridiagonal matrices and set search directions that satisfy a special relationship, which we call skew-A-conjugacy. Imposing Galerkin conditions, the resulting scheme is equivalent to the CGNE al...

Coupled BE-FE Scheme for Three-Dimensional Dynamic Interaction of a Transversely Isotropic Half-Space with a Flexible Structure

The response of structures bonded to the surface of a transversely isotropic half-space (TIHS) under the effect of time-harmonic forces is investigated using a coupled FE-BE scheme. To achieve this end, a Finite Element program has been developed for frequency domain analysis of 3D structures, as the first step. The half-space underlying the structure is taken into consideration using a Boundar...