Global ETD Search

1	Homogenization of a higher gradient heat equation: Numerical solution of the cell problem using quadratic B--spline based finite elements Dumbuya, Samba January 2023 (has links) This study focuses on the numerical solution of a fourth-order cell problem obtained through a two- scale expansion approach applied to a higher gradient heat equation microscopic problem involving temperature distributions. The main objective is to investigate the temperature field within the macroscale domain and compute the effective conductivity using finite element methods. The research utilizes numerical techniques, specifically finite element methods, to solve the fourth-order cell problem and obtain the temperature distribution. Two-scale expansion fourth-order cell problem temperature distribution quadratic B-spline finite element methods Mathematics Matematik