Meshless methods based on the local Petrov-Galerkin approach are proposed for solution of steady and transient heat conduction problem in a continuously nonhomogeneous anisotropic medium. Fundamental solution of the governing partial differential equations and the Heaviside step function are used as the test functions in the local weak form. It is leading to derive local boundary integral equat...

We present a formulation for achieving “as rigid as possible” deformations of 3D models using a Moving Least Squares (MLS) approach. This research was inspired by the work of Schaefer et al.[25] which describes an approach solving a 2D version of the same problem. Our main contribution is showing how the problem may be efficiently handled in 3D for both point and line segment constraints. Our p...

We introduce a distance measure for use in scattered data approximation. Reconstruction from sparse, non-uniformly distributed data should utilize application-specific knowledge to produce highquality results. Our distance measure is considering the specific problem of computing reconstructions from sparse observational paleoceanography data, where it is possible to consider certain problem-spe...

A multiscale meshfree particle method is developed, which includes recent advances in SPH and other meshfree research efforts. Key features will include linear consistency, stability, and both local and global conservation properties. In addition, through the incorporation of Reproducing Kernal Particle Method(RKPM), standard moving least squares (MLS) enhancement and wavelet techniques, the me...

A meshless method based on the local Petrov-Galerkin approach is proposed for solution of static and elastodynamic problems in a homogeneous anisotropic medium. The Heaviside step function is used as the test functions in the local weak form. It is leading to derive local boundary integral equations (LBIEs). For transient elastodynamic problems the Laplace transfor technique is applied and the ...

Image registration is a method of determining a mapping or a transformation that relates positions in one image, to the corresponding positions in the other images under considerations. The process of registration depends on the homologous control points that are selected from the source and the target images. This paper focuses on the use of the structural information of an image, for selectin...

In this paper we propose a new arbitrary-order Finite Volume method for the numerical solution of Euler and Navier-Stokes equations on unstructured grids. Arbitrary order is achieved using modified Moving Least Squares reconstruction, which preserves mean values conservative variables. Hence, proposed scheme changes traditional error functional MLS reconstruction in to compare cell-averaged val...

a meshless method namely, discrete least square method (dlsm), is presented in the paper for the solution of free surface seepage problem. in this method computational domain is discredited by some nodes and then the set of simultaneous equations are built using moving least square (mls) shape functions and least square technique. the proposed method does not need any background mesh therefore ...

This paper proposes a three–dimensional (3D) local boundary element model based on meshless moving least squares (MLS) method for ultrasonic wave propagation fractional order value problems of functionally graded anisotropic (FGA) fiber-reinforced plates. The problem domain is split into several circular sub-domains. nodal points are randomly distributed across the examined region. Each node fo...