This paper describes a parallel procedure for anisotropic mesh adaptation with boundary layers for use in scalable CFD simulations. The parallel mesh adaptation algorithm operates with local mesh modification operations developed for both unstructured and boundary layer parts of the mesh. The adaptive approach maintains layered elements near the viscous walls and accounts for the mesh modificat...

For a class of Riemannian manifolds with boundary that includes all negatively curved strictly convex boundary, we establish Hölder type stability estimates in the geometric inverse problem determining electric potential or conformal factor from Dirichlet-to-Neumann map associated Schrödinger equation and wave equation. The novelty this result lies fact allow some geodesics to be trapped inside...

We construct microlocal solutions of Rayleigh and Stoneley waves in isotropic linear elasticity with the density Lamé parameters smooth up to a curved boundary or interface. compute direction polarization show retrograde elliptical motion these two type waves.

The Casimir energy for scalar field of two parallel conductors in two dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress tensor. We show that vacuum expectation values of stress tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the mini...

In order to determine the reflectance of a surface, it is necessary to discount luminance changes produced by illumination variation, a process that requires the visual system to respond differently to luminance changes that are due to illumination and reflectance. It is known that various cues can be used in this process. By measuring the strength of lightness illusions, we find evidence that ...

We have used the multiquadric (MQ) approximation scheme for the solution of elliptic partial differential equations with Dirichlet and/or Neumann boundary conditions. The scheme has the advantage of using the data points in arbitrary locations with an arbitrary ordering. Two-dimensional Laplace, Poisson, and biharmonic equations describing the various physical processes have been taken as the t...

The Casimir energy for scalar field of two parallel conductor in two dimensional domain wall background with Dirichlet boundary conditions is calculated by making use of general properties of renormalized stress tensor.We show that vacuum expectation values of stress tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal ...

Our recent coarse-grained (CG) molecular dynamics (MD) simulations of membranes with a hemifused-ribbon (λ-shaped) geometry showed curvature-driven demixing leading to enrichment in dioleoyl-phosphatidylethanolamine (DOPE) in a negatively-curved region (at C –0.8 nm) of a DOPE/dipalmitoyl-phosphatidylcholine (DPPC) membrane. Here we extend the analysis with respect to lipid composition and simu...

We study the asymptotic behavior, at small viscosity ε, of the NavierStokes equations in a 2D curved domain. The Navier-Stokes equations are supplemented with the slip boundary condition, which is a special case of the Navier friction boundary condition where the friction coefficient is equal to two times the curvature on the boundary. We construct an artificial function, which is called a corr...

Three exact solutions to the axisymmetric equations governing axially polarized cylinders are first presented. Two of them are the first terms in Bessel and Fourier series expansions of arbitrary boundary conditions on the flat and curved surfaces, respectively. The third is needed to model clamped boundaries. Then, it is shown that cylinders with arbitrary lengthto-radius ratio and certain uni...