In this work we present a meshless method based on the minimum total energy principle for solving elasticity problems. The problem is reformulated as a convex quadratic programming one with equality constraints for which very efficient numerical solvers exist. We will show that this formulation is a generalization of the classical Element-Free Galerkin (EFG) method and, in combination with an enriching function technique, it exhibits very good performances without the need of an extreme discretization refinement.

Global meshless solutions for elasticity problems with direct enforcement of boundary constraints

GABICCINI, MARCO;ARTONI, ALESSIO;GUIGGIANI, MASSIMO
2011

Abstract

In this work we present a meshless method based on the minimum total energy principle for solving elasticity problems. The problem is reformulated as a convex quadratic programming one with equality constraints for which very efficient numerical solvers exist. We will show that this formulation is a generalization of the classical Element-Free Galerkin (EFG) method and, in combination with an enriching function technique, it exhibits very good performances without the need of an extreme discretization refinement.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/202802
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