Article history: Received 4 May 2013 Received in revised form 11 March 2014 Accepted 4 April 2014 Available online 18 April 2014

INTRODUCTION This paper concerns what we term a parabolic-elliptic interface problem. Two – dimensional problems are investigated in many papers [1-4]. They arise in the study of two-dimensional eddy currents [2], in the quasistationary two-dimensional magnetic fields [1], surface measurements [3], etc. In the present paper we shall concentrate on the following simplified model from the biochem...

Abstract: Elliptic interface problems arise in various areas of science and engineering. The steady state heat conduction in layered bodies is one of the largest areas of application of elliptic interface problems. In this paper, a mathematical model and solution of a one dimensional elliptic interface problem which represents a steady state heat conduction problem in composite medium have been...

In this paper the Immersed Boundary Method is presented, with some recent developments. The method is used to analyze fluid–structure interaction problems. Different aspects of the method are illustrated by applying it to blood flow in the heart and a flapping filament (flag-in-wind) problem.

In this paper, an immersed boundary method is proposed for the simulation of two-dimensional fluid interfaces with insoluble surfactant. The governing equations are written in a usual immersed boundary formulation where a mixture of Eulerian flow and Lagrangian interfacial variables are used and the linkage between these two set of variables is provided by the Dirac delta function. The immersed...