Vladimir Sladek

TL;DR: In this article, a numerical method based on the mutual coupling of the boundary element method (BEM) and the meshless local Petrov-Galerkin (MLPG) method is proposed to simulate elastic wave propagation in fluid-filled boreholes.

TL;DR: The boundary element method (BEM) has become an efficient tool in solving many engineering problems as mentioned in this paper, and it has been applied extensively also to acoustical problems including the exterior problems in both the infinite and semi-infinite acoustic medium.

TL;DR: In this paper, the correspondence principle is applied to solve general 2D electro-viscoelastic problems with the flexoelectric effect, and the C0 continuous approximation is applied independently for displacements and strains; kinematic constraints between them are satisfied by a collocation method.

TL;DR: In this article, a meshless method based on the local Petrov-Galerkin approach is proposed to solve initial-boundary value crack problems in decagonal quasicrystals.

TL;DR: In this article, a moderated thick double curved shallow shell with functionally graded materials subjected to static and dynamic loads is investigated by the meshless methods and the numerical solutions of the partial differential equations are obtained by the Finite Block Method in both strong form formulation (Point Collocation Method) and weak form formulation(Meshless Local Petrov-Galerkin) with Lagrange series interpolation and mapping technique.