Immersed boundary method with non-uniform distribution of Lagrangian markers for a non-uniform Eulerian mesh

Non-uniform Differential Mesh Deformation

In this paper, we propose a novel mesh deformation approach via manipulating differential properties non-uniformly. Guided by user-specified material properties, our method can deform the surface mesh in a non-uniform way while previous deformation techniques are mainly designed for uniform materials. The non-uniform deformation is achieved by material-dependent gradient field manipulation and ...

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions

Vertical differentiation with non-uniform consumers’ distribution

The note explores a vertical differentiation model with a continuous nonuniform consumers’ distribution. First a result concerning the finiteness property obtained with uniform consumers’ distribution is generalized. Second we prove an existence result of price equilibrium when the distribution is concave. Finally we exhibit a counter-example to the existence of price equilibrium to show that t...

Boundary Effects in Non-uniform Spin Chains

We give an explicit comparison of eigenvalues and eigenvectors of XY Hamiltonians of an open linear spin-1/2 chain and a closed spin-1/2 ring with periodic in space coefficients. It is shown that the Hamiltonian of a k-periodic chain with nk − 1 sites has (n − 1)k multiplicity one eigenvalues which are eigenvalues of multiplicity two for a Hamiltonian of a k-periodic ring with 2kn sites. For th...