In this paper, a method based on a combination of an optimization of directions of orthotropy, along with topology optimization, is applied to continuum orthotropic solids with the objective of minimizing their compliance. The spatial discretization algorithm is the so called Meshless Local Petrov-Galerkin (MLPG) “mixed collocation” method for the design domain, and the material-orthotropy orie...

Choosing data points is a common problem for researchers who employ various meshless methods for solving partial differential equations. On one hand, high accuracy is always desired; on the other, ill-conditioning problems of the resultant matrices, that may lead to unstable algorithms, prevent some researchers from using meshless methods. For example, the optimal placements of source points in...

An efficiency of the nonsingular meshless method is analyzed in an acoustic indoor problem. The solution assumed form series radial bases functions. Hardy’s multiquadratic functions, as bases, are taken into account. room field with uniform, impedance walls considered. representative, rectangular cross section chosen. Practical combinations of acoustic boundary conditions, expressed through ab...

We present a meshless technique which can be seen as an alternative to the Method of Fundamental Solutions (MFS). It calculates homogeneous solutions of the Laplacian (i.e. harmonic functions) for given boundary data by a direct collocation technique on the boundary using kernels which are harmonic in two variables. In contrast to the MFS, there is no artifical boundary needed, and there is a f...

For real-time rendering of physically-based volumetric deformation, a meshless finite element method (FEM) is proposed and implemented on the new-generation Graphics Processing Unit (GPU). A tightly coupled deformation and rendering pipeline is defined for seamless modeling and rendering: First, the meshless FEM model exploits the vertex shader stage and the transform feedback mechanism of the ...

For real-time rendering of physically-based volumetric deformation, a meshless finite element method (FEM) is proposed and implemented on the new-generation Graphics Processing Unit (GPU). A tightly coupled deformation and rendering pipeline is defined for seamless modeling and rendering: First, the meshless FEM model exploits the vertex shader stage and the transform feedback mechanism of the ...

Meshless deformation based on shape matching is a new technique for simulating deformable objects without requiring mesh connectivity information. The approach focuses on speed, ease of use and stability at the expense of physical accuracy. In this paper we introduce improvements to the technique that increase physical realism and make it more suitable for use in interactive real-time environme...

Low-pressure powder injection molding (LPIM) is a cost-effective technology for producing intricate small metal parts at high, medium, and low production volumes in applications which, to date, have involved ceramics or spherical powders. Since the use of irregular powders represents promising way reduce overall costs, this study aims investigate potential manufacturing molded from commercial i...

This paper is concerned with the two new boundary-type radial basis function collocation schemes, boundary knot method (BKM) and boundary particle method (BPM). The BKM is developed based on the dual reciprocity theorem, while the BKM employs the multiple reciprocity technique. Unlike the method of fundamental solution, the two methods use the non-singular general solution instead of singular f...

This work explores the application of kernel based local meshless method for solving multi-dimensional wave equations in irregular domain. The method is tested for various types of boundary conditions in irregular shaped domain. The method is capable of solving multi-dimension large scaled problems in complex shaped domain.