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...

We consider the mixed boundary value problem for the Stokes and steady NavierStokes equations in two-dimensional domain with corner points on boundary, where the boundary conditions change their type. Our goal is to prove some regularity results near corner points, where the boundary conditions change.

Abstract:The two point boundary value problems with Neumann and mixed Robbin’s boundary conditions have great importance in chemical engineering, deflection of beams etc. It is not easy task to solve numerically such type of problems. In this paper, Galerkin-finite element method is proposed for the numerical solution of the boundary value problem having mixed Robbin’s and Dirichlet’s condition...