There are recent and continuing developments in the field of computational mechanics, which are used as tools in a number of complex and sophisticated techniques. These techniques are applied to a wide range of subject areas such as applied mathematics, materials science, damage mechanics, hydrodynamics, fluid-structure interaction, fluid mechanics, meshes, numerical modelling, finite elements, and civil engineering. One of these techniques is the meshless approach. In recent years, a large number of methods have been developed whose objective is to get rid of mesh constraints. The research into this topic is still ongoing, but it is thought that the development of meshless approaches might lead to a new generation of computational methods in engineering and applied science. This publication covers a selective list of approaches and sensibilities. It includes formulations based on Moving Least Squares, Smooth Particle Hydrodynamics and Generalized Finite Differences combined with applications in acoustics, fluid and solid mechanics, as well as numerical and experimental data smoothing.

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Piotr Breitkopf lectures in the 'Laboratoire de Mecanique Roberval' at the Technological University of Compiegne, France. Antonio Huerta is Professor of Applied Mathematics in the 'Laboratori de Calcul Numeric' at the University Polytechnic of Catalunya, Spain.

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