The fast Fourier transform (FFT) based homogenization method of Moulinec and Suquet has been established as a fast, accurate, robust tool for periodic in solid mechanics. In finite element context, Pahr Zysset have introduced nonperiodic boundary conditions (PMUBC) problems. We show how to implement PMUBC efficiently an FFT-based code using discrete sine cosine transforms. Compared with the dom...

The stationary Boussinesq equations describing the heat transfer in the viscous heat-conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary conditions for temperature are considered. The optimal control problems for these equations with tracking-type functionals are formulated. A local stability of the concrete control problem solutions with respect t...

We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. The role of boundary conditions in the derivation of Fourier-Laplace inversion formulas is considered. Boundary conditions of a general mixed type are discussed, with purely absorbing and purely reflecting boundaries obtained as limiti...

We study the existence of solutions for fractional integrodifferential inclusions of order q ∈ (1, 2] with families of mixed, closed, strip and integral boundary conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.

This paper presents a simple and systematic way for imposing boundary conditions in the differential quadrature free and forced vibration analysis of beams and rectangular plates. First, the Dirichlet- and Neumann-type boundary conditions of the beam (or plate) are expressed as differential quadrature analog equations at the grid points on or near the boundaries. Then, similar to CBCGE (direct ...

The vertical and rocking impedances of a rigid foundation resting on a semi-infinite transversely isotropic medium are obtained in the frequency domain. In the present approach, the contact pressure distribution on the soil foundation-interface is approximated by a linear combination of known pressure patterns. It is shown herein that the approximate solutions of spatial displacement distributi...