Titlebook: Meshfree Methods for Partial Differential Equations; Michael Griebel,Marc Alexander Schweitzer Conference proceedings 2003 Springer-Verlag

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An Adaptivity Procedure Based on the Gradient of Strain Energy Density and its Application in Meshl as a stop-criterion. The refinement-coarsening is guided by the gradient of strain energy density. The procedure is then implemented in Element-Free Galerkin method. Numerical examples are presented to show the performance of the proposed procedure.

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New Developments in Smoothed Particle Hydrodynamics,se methods is that the interpolation uses a set of disordered points and the equations of motion appear similar to the equations of motion of a set of particles. The generic name, Smoothed Particle methods seems to capture these features nicely. A useful review of SPH (Monaghan (1992)) gives the bas

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https://doi.org/10.1007/978-3-642-56103-0Regression; Simulation; differential equation; element-free Galerkin methodse; engineering applications;

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Michael Griebel,Marc Alexander SchweitzerIncludes supplementary material:

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Coupling Finite Elements and Particles for Adaptivity: An Application to Consistently Stabilized Cout remeshing cost. The distribution of particles can be arbitrary. Continuity and consistency is preserved. The behaviour of the mixed interpolation in the resolution of the convection-diffusion equation is analyzed.

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A Hamiltonian Particle-Mesh Method for the Rotating Shallow-Water Equations,n circulation theorem. The generation of non-smooth components in the layer-depth is avoided by applying a smoothing operator similar to what has recently been discussed in the context of α-Euler models.