Development of integration schemes for meshless numerical approaches based on the SPH method

Abstract

[Abstract] In this paper we discuss some of the meshless formulations that have been recently proposed for solving Boundary Value Problems. Several functional approximations are studied both, from a continuum and from a discrete point of view, with special emphasis in the verification of the consistency conditions. On the other hand, different integration schemes are approached, considering both the so-called global integration and the so-called local integration schemes. Finally, somes examples are developed to show the bahaviour of all these numerical techniques when a nodal integration is used.