GPU Acceleration of the Generalized Interpolation Material Point Method

Efficient Point-Based Rendering Using Image Reconstruction

Image-space reconstruction of continuous surfaces from scattered one-pixel projections of points is known to potentially offer an advantageous time complexity compared to surface splatting techniques. We propose a new algorithm for hardware-accelerated image-space reconstruction using pull-push interpolation and present an efficient GPU implementation. Compared to published image-space reconstr...

Shock Waves Calculated Using Material Point Methods

One of the significant advantages of particle methods is their capability of computing large material deformation without the difficulty of mesh distortion. Often the large deformation of a material is caused by shock loading, therefore accurate calculation of shock waves is important for particle methods. In this work we study the numerical properties of four major versions of the material poi...

On the Order of Accuracy of the Generalized Interpolation Material Point Method

Elasto-plastic analysis of discontinuous medium using linearly conforming radial point interpolation method

In this paper, the linearly conforming enriched radial basis point interpolation method is implemented for the elasto-plastic analysis of discontinuous medium. The linear conformability of the method is satisfied by the application of stabilized nodal integration and the enrichment of radial basis functions is achieved by the addition of linear polynomial terms. To implement the method for the ...

The Generalized Interpolation Material Point Method

The Material Point Method (MPM) discrete solution procedure for computational solid mechanics is generalized using a variational form and a Petrov– Galerkin discretization scheme, resulting in a family of methods named the Generalized Interpolation Material Point (GIMP) methods. The generalization permits identification with aspects of other point or node based discrete solution techniques whic...