We develop a Finite Element method (FEM) which can adopt very general meshes with polygonal elements for the numerical approximation of elliptic obstacle problems. This kind of methods are also known as mimetic discretization schemes, which stem from the Mimetic Finite Di erence (MFD) method. The rst-order convergence estimate in a suitable (mesh-dependent) energy norm is established. Numerical...

The probability density for the solution yn of a stochastic di erence equation is considered. Following Knessl, Matkowsky, Schuss, and Tier [1] it is shown to satisfy a master equation, which is solved asymptotically for large values of the index n. The method is illustrated by deriving the large deviation results for a sum of independent identically distributed random variables and for the joi...

This paper presents a new method for integrating di erent low level vision modules, stereo and shape from shading, in order to improve the 3D reconstruction of visible surfaces of objects from intensity images. The integration process is based on correcting the 3D visible surface obtained from shape from shading using the sparse depth measurements from the stereo module by tting a surface into ...

In this article we present a new experimental paradigm: comparative visual search. Each half of a display contains simple geometrical objects of three di erent colors and forms. The two display-halves are identical except for one object mismatched in either color or form. The subject's task is to nd this mismatch. We illustrate the potential of this paradigm for investigating the underlying com...

Introduction In this paper we consider cell centered nite di erence approximations for second order convection di usion equations of divergence type Our goal is to construct nite di erence methods of second order of approximation that satisfy the discrete maximum principle The error estimates are in the discrete Sobolev spaces associated with the considered boundary value problem Approximation ...

The purpose of this research is to drive the evaluation formula coupled local buckling strength H-shaped members under pure compression. To clarify interaction among plate elements, multiple studies have been conducted. As a result, formulae for maximum are established and expressed by empirical equations or regression analysis . However, most were not able explain behavior because complicated....

We present a two level nite di erence scheme for the approximation of nonlinear parabolic equations. Discrete inner products and the lowest order Raviart-Thomas approximating space are used in the expanded mixed method in order to develop the nite di erence scheme. Analysis of the scheme is given assuming an implicit time discretization. In this two level scheme, the full nonlinear problem is s...

Sound localization for a robot or an embedded system is usually solved by using Interaural Phase Di erence (IPD) and Interaural Intensity Di erence (IID). These values are calculated by using Head-Related Transfer Function (HRTF). However, HRTF depends on the shape of head and also changes as environments changes. Therefore, sound localization without HRTF is needed for real-world applications....

We investigate the linear stability of unstably strati ed Poiseuille ow between two horizontal parallel plates under non-Boussinesq conditions. It is shown, that Squire's transformation can be used to reduce the three-dimensional stability problem to an equivalent two-dimensional one. The eigenvalue problem, consisting of the generalized Orr-Sommerfeld equations, is solved numerically using an ...

The computation of large sparse Jacobian matrices is required in many important large-scale scienti c problems. We consider three approaches to computing such matrices: hand-coding, di erence approximations, and automatic di erentiation using the ADIFOR (Automatic Di erentiation in Fortran) tool. We compare the numerical reliability and computational e ciency of these approaches on applications...