FFT‐based homogenization with mixed uniform boundary conditions

Homogenization of the planar waveguide with frequently alternating boundary conditions

We consider Laplacian in a planar strip with Dirichlet boundary condition on the upper boundary and with frequent alternation boundary condition on the lower boundary. The alternation is introduced by the periodic partition of the boundary into small segments on which Dirichlet and Neumann conditions are imposed in turns. We show that under the certain condition the homogenized operator is the ...

Homogenization Results for Parabolic Problems with Dynamical Boundary Conditions

Abstract. The aim of this paper is to study the asymptotic behavior of the solution of a parabolic dynamical boundary -value problem in a periodically perforated domain. The domain is considered to be a fixed bounded open subset Ω⊂R , in which identical and pe riodically distributed perforations (holes) of size ε are made. In the perforated domain we consider a heat equation, with a Dirichlet c...

Isospectral domains with mixed boundary conditions

We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M. Kac.

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