boundary element method

The purpose of this work is to identify a Robin coefficient from available measurements on the accessible part of the boundary.  After recasting the inverse problem as an optimization problem, we study the issue of identifiability, stability, and identification.  For the reconstruction process, two regularized algorithms are designed, and the forward problem is approximated using the discontinuous dual reciprocity method.  The accuracy of the proposed approaches is tested in the case of noise–free and noisy data and the findings are very promising and encouraging.

In this paper, the partly-boundary elements as a version of the indirect near-boundary element method has been considered.  Accuracy and effectiveness of their using for 2D problems of potential theory have been investigated.  It is shown that using of partly-boundary elements for objects of canonical shape (circle, square, rectangle, ellipse) and arbitrary polygons allows us to achieve the solution accuracy, which is comparable with the accuracy of the indirect near-boundary element method, and its order of magnitude is higher than in the indirect boundary element method.  In this case, th

In this work, a numerical bi-dimensional simulation of heat distribution in the human eye is investigated.  A dual reciprocity boundary element method (DRBEM) is applied to obtain the heat distribution in the human eye.  The non-overlapping Dirichlet--Neumann domain decomposition method combined with DRBEM is used to find a more accurate representation of heat distribution in the human eye presented for two, three and four subdomains.  The result obtained are compared with literature experimental and numerical studies.  The simulations of proposed algorithms describe with sufficient accurac

This article dwells upon the multiscale elastic structures consisting of matrix medium and thin coatings or inclusions.  The matrix medium is described by the equations of classical elasticity theory, while Timoshenko shell theory is used for the description of the thin parts of the structure.   On the interface between media, perfect contact conditions are assumed to hold.  The coupled algorithm is developed, based on the boundary element method in the matrix part and on the high order finite element method in the thin parts of the structure.  The two methods are coupled using a domain dec

The mathematical model for steady oscillations of electromagnetic field in the three-dimensional object is built. For calculating of the distribution of the electromagnetic field the numerical algorithm based on the boundary element method is developed. Numerical experiments are performed.