In this paper, bending analysis of concentric and eccentric beam stiffened square and rectangular plate using the meshless collocation method has been investigated. For detecting the governing equations of plate and beams, Mindlin plate theory and Timoshenko beam theory have been used, respectively, with the stiffness matrices of the plate and the beams obtained separately. The stiffness matric...

We consider the question of unique solvability in the context of bivariate Hermite interpolation. Starting from arbitrary nodes, we prescribe arbitrary conditions of Hermite type, and find an appropriate interpolation space in which the problem has a unique solution. We show that the coefficient matrix of the associated linear system is a nonsingular submatrix of a generalized Kronecker product...

In this paper a new parallel algorithm for the computation of the inverse of a bivariate polynomial matrix are presented. The parallel algorithm based on the technique evaluation-interpolation and for the part of interpolation uses the Newton bivariate polynomial interpolation. The algorithm is applied to the programming environment of MATLAB with Parallel Computing Toolbox and is compared to t...