With 70 percent new material, this second edition reflects significant advances made in the field since the publication of its predecessor. It continues to systematically cover the most widely used meshfree methods. This edition includes enhanced focus on fundamental concepts and theories, more detailed discussion on error estimation and adaptive analysis using meshfree methods, developments on combined meshfree/FEM models, and comparison studies using meshfree and FEM. It also contains a new discussion on special properties of meshfree methods, including stability, convergence, accurate, efficiency, and bound property. The latest version of MFree2Dc is freely available for download online.
Covers the most widely used meshfree methods. This edition includes details on fundamental concepts and theories, detailed discussion on error estimation and adaptive analysis using meshfree methods, developments on combined meshfree/FEM models, and comparison studies using meshfree and FEM.
Preliminaries. Meshfree Shape Function Construction. Function Spaces for Meshfree Methods. Strain Field Construction. Weak and Weakened Weak Formulations. Element Free Galerkin Method. Meshless Local Petrov-Galerkin Method. Point Interpolation Methods. Meshfree Methods for Fluid Dynamics Problem. Meshfree Methods for Beams. Meshfree Methods for Plates. Meshfree Methods for Shells. Boundary Meshfree Methods. Meshfree Methods Coupled with Other Methods. Meshfree Methods for Adaptive Analysis. MFree2D(c). Index.