Divergence constraints are present in the governing equations of many physical phenomena, and they usually lead to a Poisson equation whose solution is one of the most challenging parts of scientific simulation codes. Indeed, it is the main bottleneck of ...

In this work, we propose a path integral random walk (PIRW) solver, the first accurate stochastic method for steady-state thermal analysis with mixed boundary conditions, especially involving Fourier heat transfer Robin boundary conditions. We ...

In this paper, a content based descriptor is proposed to retrieve 3D models, which employs histogram of local orientation (HLO) as a geometric property of the shape. The proposed 3D model descriptor scheme consists of three steps. In the first step, ...

The Modified Explicit Decoupled Group (MEDG) iterative method [3] was recently formulated using a combination of the rotated five-point finite difference approximation grid stencil together with the fivepoint centred difference approximation on the h ...

We discuss the scalable parallel solution of the Poisson equation on irregularly shaped domains discretized by finite differences. The symmetric positive definite system is solved by the preconditioned conjugate gradient algorithm with smoothed ...

In this paper, the equivalent boundary integral equations (EBIEs) for Poisson's exterior boundary value problems are established.

In this paper, the formulation of a new explicit group method in solving the two-dimensional Poisson equation is presented. The method is derived from a skewed (rotated) five-point finite difference discretisation which results in a reduced system with ...

Human action in video sequences can be seen as silhouettes of a moving torso and protruding limbs undergoing articulated motion. We regard human actions as three- imensional shapes induced by the silhouettes in the spacetime volume. We adopt a recent ...

A method for obtaining rigorous upper and lower bounds to an output of the exact solution of the three dimensional Poisson problem is described. More recently bounds to the exact outputs of interest have been obtained for both the Poisson equation and ...

In this paper, we propose a novel shape interpolation approach based on Poisson equation. We formulate the trajectory problem of shape interpolation as solving Poisson equations defined on a domain mesh. A non-linear gradient field interpolation method ...

In this short article, we recalculate the numerical example in Krízek and Neittaanmäki (1987) for the Poisson solution u - x^σ(1-x) sin πy in the unit square S as σ = 7/4. By the finite difference method, an error analysis for such a problem is given ...