In this paper, we illustrated a numerical algorithm which we refer to as the Virtual Resistive Network algorithm, to reconstruct the interior conductivity from interior current densities. In the algorithm, the essence is to introduce a virtual resistive network onto the continuum domain. The algorithm is noniterative and has certain degrees of flexibility in use. We reconstructed the isotropic ...

Abstract We study the $$L^{\infty }$$ L ∞ stability of Navier-Stokes equations in half-plane with a viscosity-dependent Navier friction boundary condition around shear profiles which are linearly unstable for Euler equation. The dependence from viscosity is given as $$\...

Transmission eigenvalues are points in the spectrum of the interior transmission operator, a coupled 2x2 system of elliptic partial differential equations, where one unknown function must satisfy two boundary conditions and the other must satisfy none. We show that the interior transmission eigenvalues are discrete and depend continuously on the contrast by proving that the interior transmissio...

This paper proposes a framework for interactively deforming 3D mesh models. 3D mesh models are often used in finite element analysis, but existing surface-based deformation methods fail to deform volumetric elements consistently. In the method proposed here, vertices in a 3D mesh model are classified into boundary vertices and interior vertices. Boundary vertices are treated in the same way as ...

We have carried out a radio-wavelength imaging survey of 45 bright-rimmed clouds (BRCs), using the Australia Telescope Compact Array to characterise the physical properties in their ionised boundary layers. We detected radio emission from a total of 25 clouds and using a combination of Digitised Sky Survey and mid-infrared MSX 8 μm images classified the emission into that associated with the io...

Abstract Lateral intrusions flowing from the boundaries of lakes and oceans might influence basin‐scale distributions heat, chemical solutes, sediments, organisms. Here, observations numerous multiple locations in a small lake were used to examine relation lakewide internal seiche, estimate mean exchange between sloping bottom boundary layers (BBLs) interior. BBL waters observed periodically se...

Given is a polygonal area and the goal is to cover the polygon’s interior or boundary by placing a number of stations in the interior or on the boundary. There are several parameters for this problem: what part of the polygon (interior, boundary) is to be covered, and where can stations be placed (vertices, edges, interior points); Furthermore there are minimization problems (minimum number of ...

We use Dirichlet form methods to construct and analyse a general class of reversible Markov processes with totally disconnected state spaces. We study in detail the special case of bipartiteMarkov chains. The latter processes have a state space consisting of an \interior" with a countable number of isolated points and a, typically uncountable, \boundary". The equilibrium measure assigns all of ...

We have carried out a radio-wavelength imaging survey of 45 bright-rimmed clouds (BRCs), using the Australia Telescope Compact Array to characterise the physical properties in their ionised boundary layers. We detected radio emission from a total of 25 clouds and using a combination of Digitised Sky Survey and mid-infrared MSX 8 μm images classified the emission into that associated with the io...