The present paper proposes a new regularised Trefftz method to recover the boundary value on non-accessible of an annulus from overdetermined data accessible that annulus. Considering available have Fourier expansion, we consider Tikhonov damping factor in constructing our regularized scheme, which satisfies problem. At same time, convergence estimates for solution will be established under ass...

Moreau-Yosida and Lavrentiev type regularization methods are considered for nonlinear optimal control problems governed by semilinear parabolic equations with bilateral pointwise control and state constraints. The convergence of optimal controls of the regularized problems is studied for regularization parameters tending to in nity or zero, respectively. In particular, the strong convergence of...

the bem is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. the problem is formulated in terms of the warping function. this formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized neumann type boundary condition. the problem is solved using the analog equation method (aem)...

The regularized layered medium equation is proposed as a model of voltage distribution in a medium consisting of alternating thin films of conducting and dielectric materials. This equation is obtained from the layered medium equation by the introduction of a regularizing perturbation that takes account of the resistance at the interface between adjacent conducting and dielectric layers. The re...

Various numerical boundary condition methods have been proposed to simulate various aspects of the no-slip wall condition using the Lattice Boltzmann Method. In this paper, a new boundary condition scheme is developed to model the no-slip wall condition in the presence of the body force term near the wall which is based on the Bennett extension. The error related to the new model is smaller tha...

Matching of rigid shapes is an important problem in numerous applications across the boundary of computer vision, pattern recognition and computer graphics communities. A particularly challenging setting of this problem is partial matching, where the two shapes are dissimilar in general, but have significant similar parts. In this paper, we show an approach allowing to find matching parts of ri...

Matching of rigid shapes is an important problem in numerous applications across the boundary of computer vision, pattern recognition and computer graphics communities. A particularly challenging setting of this problem is partial matching, where the two shapes are dissimilar in general, but have significant similar parts. In this paper, we show a rigorous approach allowing to find matching par...