In this paper we compare two recently proposed methods, FGMRES 5] and GMRESR 7], for the iterative solution of sparse linear systems with an unsymmetric nonsingular matrix. Both methods compute minimal residual approximations using preconditioners, which may be diierent from step to step. The insights resulting from this comparison lead to better variants of both methods.

The mode I energy release rate, including the effect of residual stresses, was evaluated for both adhesive and laminate double cantilever beam specimens. The energy release rate can be partitioned into a mechanical term and a residual stress term in beam theory. The beamtheory mechanical term is not very accurate, but can be corrected by a slight modification to a previous correction factor. Th...

In the theoretical part of this paper, we introduce a simplified proof technique for error bounds and convergence of a variation of E. Kansa’s well-known unsymmetric meshless collocation method. For a numerical implementation of the convergent variation, a previously proposed greedy technique is coupled with linear optimization. This algorithm allows a fully adaptive on-the-fly data-dependent m...