The Meshless Local Petrov-Galerkin (MLPG) “mixed collocation” method is applied to the problem of topology-optimization of elastic structures. In this paper, the topic of compliance minimization of elastic structures is pursued, and nodal design variables which represent nodal volume fractions at discretized nodes are adopted. A so-called nodal sensitivity filter is employed, to prevent the phe...

This paper presents an efficient meshless approach for solving electrostatic problems. This novel approach is based on combination of radial basis functions-based meshless unsymmetric collocation method with projection domain decomposition method. Under this new method, we just need to solve a Steklov-Poincaré interface equation and the original problem is solved by computing a series of indepe...

We develop a meshless method for simulating soft organ deformation. The method is motivated by simple, automatic model creation for real-time simulation. Our method is meshless in the sense that deformation is calculated at nodes that are not part of an element mesh. Node placement is almost arbitrary. Fully geometrically nonlinear total Lagrangian formulation is used. Geometric integration is ...

the web site http:llwww.unlv.edulResearch CentedNCACM. method has its merits and deficiencies. Additional infomation can be found on element and meshless methods for several heat transfer test problems. Each finite element scheme that employs h-adaptation are compared with boundary schemes that are especially promising. In this study, solutions obtained using a (handlor p-adaptation), boundary ...

In this paper, we present a mesh-free, finite-volume-like scheme designed for numerically solving conservation laws. We first derive a conservative formulation for computing mesh-free first derivatives based on a set of unknown coefficients satisfying polynomial consistency and other conditions. This formulation leads to a generalization that allows flexible choices of flux schemes while remain...

We describe a numerical method to solve the quasistatic Maxwell equations to obtain the electric potential distribution generated by a point source of current density inside a body of arbitrary shape and constant conductivity. The method needs only a set of nodes on the surface and inside the body, but it does not need a mesh connecting the nodes. The proposed meshless method is compared agains...

In the theoretical part of this paper, we introduce a simplified proof technique for error bounds and convergence of a variation of E. Kansa’s well-known unsymmetric meshless collocation method. For a numerical implementation of the convergent variation, a previously proposed greedy technique is coupled with linear optimization. This algorithm allows a fully adaptive on-the-fly data-dependent m...

The meshles.i method based on the least-squares approach, the rneshle.is weighted leastsquares (MWLS) method, is extended to soive conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretiiai analy.us antl numerical examples indicate that larger time steps can be used i...

A particular meshless method, named meshless local Petrov–Galerkin is investigated. To treat the essential boundary condition problem, an alternative approach is proposed. The basic idea is to merge the best features of two different methods of shape function generation: the moving least squares (MLS) and the radial basis functions with polynomial terms (RBFp). Whereas the MLS has lower computa...

A two-phase DLSM model is proposed to model transverse isotropic materials, in which the layer structure of the anisotropic materials is explicitly represented. Equations are derived to obtain elastic parameters of the two phase model from the elastic modules in parallel to the bedding planes and that in normal direction of the bedding planes. Then, the mechanical properties of the two-phase DL...