Using the directly derived non-hyper singular integral equations for displacement gradients [as in Okada, Rajiyah, and Atluri (1989a)], simple and straightforward derivations of weakly singular traction BIE’s for solids undergoing small deformations are presented. A large number of “intrinsic properties” of the fundamental solutions in elasticity are developed, and are used in rendering the tBI...

In this work, we derive a goal-oriented a posteriori error estimator for the error due to time-discretization of nonlinear parabolic partial differential equations by the fractional step theta method. This time-stepping scheme is assembled by three steps of the general theta method, that also unifies simple schemes like forward and backward Euler as well as the Crank–Nicolson method. Further, b...

A meshless local Petrov-Galerkin (MLPG) method is applied to solve problems of Reissner-Mindlin shells under thermal loading. Both stationary and thermal shock loads are analyzed here. Functionally graded materials with a continuous variation of properties in the shell thickness direction are considered here. A weak formulation for the set of governing equations in the Reissner-Mindlin theory i...

We deal with the numerical solution of time-dependent convection-diffusion-reaction equations. We combine the local projection stabilization method for the space discretization with two different time discretization schemes: the continuous Galerkin-Petrov (cGP) method and the discontinuous Galerkin (dG) method of polynomial of degree k. We establish the optimal error estimates and present numer...

in this paper, we use petrov-galerkin elements such as continuous and discontinuous lagrange-type k-0 elements and hermite-type 3-1 elements to find an approximate solution for linear fredholm integro-differential equations on $[0,1]$. also we show the efficiency of this method by some numerical examples

In general, geometries of Petrov type II do not admit symmetries in terms Killing vectors or spinors. We introduce a weaker form equations which solutions. particular, there is an analog the Penrose-Walker spinor. Some its properties, including associated conservation laws, are discussed. Perturbations Einstein complex scalar Debye potential yield solutions to linearized equations. The Weyl ten...

Nous construisons une famille de diffusions Feller à deux paramètres sur l’ensemble des sous-ensembles ouverts (0, 1). Ces apparaissent comme les limites diffusives chaînes ascendantes et descendantes du processus restaurant chinois paramètres. Les que nous sont analogues ordonnés naturels l’extension paramètres, introduite par Petrov, modèle diffusion avec un nombre infini d’allèles neutres co...