This paper presents a boundary integral equation method for computing numerical conformal mapping of bounded multiply connected region onto an annulus with spiral slits region and its inverse. The method is an extension of the author’s method for computing the Annulus with circular slits map of bounded multiply connected regions (see [Sangawi, A. W. K., Murid, A. H. M., Nasser, M. M. S.: Annulu...

In this paper we present a new approach to generate a mixed mesh with elements aligned to boundary/interfaces wherever is required. A valid element is: (a) any convex co-spherical element that fulfills the requirements of the underlying numerical method and (b) any element that satisfies domain specific geometric features of the model. The algorithm is based on the normal offsetting approach to...

The recent progress of physiological measurement allows us to observe membrane potential behaviors of extensive regions with higher spatial and temporal resolutions. Accordingly, a new theory has been expected with which we can analyze the spatiotemporal dynamics of the membrane potential with the cell-shape and the spatial distributions of electrical parameters taken into consideration quantit...

In this paper we study boundary element methods for initialNeumann problems for the heat equation. Error estimates for some fully discrete methods are established. Numerical examples are presented.

In this paper we study boundary element methods for initialNeumann problems for the heat equation. Error estimates for some fully discrete methods are established. Numerical examples are presented.

Boundary Integral Methods for Multicomponent Fluids and Multiphase Materials T. Y. Hou,∗ J. S. Lowengrub,† and M. J. Shelley‡ ∗Department of Applied Mathematics, California Institute of Technology, Pasadena, California 91125; †School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455; and Department of Mathematics, University of North Carolina, North Carolina 27599; and ‡Cour...

Boundary elements are thought to define the peripheries of chromatin domains and to restrict enhancer-promoter interactions to their target genes within their domains. We previously characterized a cDNA encoding the BEAF-32A protein (32A), which binds with high affinity to the scs' boundary element from the Drosophila melanogaster 87A7 hsp70 locus. Here, we report a second protein, BEAF-32B, th...

This paper deals with a general framework for a posteriori error estimates in boundary element methods which is specified for three examples, namely Symm's integral equation, an integral equation with a hypersingular operator, and a boundary integral equation for a transmission problem. Based on these estimates, an analog of Eriksson and Johnson's adaptive finite element method is proposed for ...

Dynamic response analysis of mechanical structures is usually performed by adopting numerical/analytical models. Finite element (FE) modeling as a numerical approach plays an important role in dynamic response analysis of complex structures. The calculated dynamic responses from FE analysis are only reliable if accurate FE models are used. There are many elements in real mechanical structures w...