TY - BOOK AU - Ayate Mohammad Abuelkhair Behairy AU - Laila Fahmy Abdelal , AU - Naser Hassan Sweilam , TI - Multigrid - finite element method for partial differential equations and their optimal control / PY - 2010/// CY - Cairo : PB - Ayate Mohammad Abuelkhair Behairy , KW - Coupled System in Thermoelasticity KW - Multi - grid KW - t - extrapolation method N1 - Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics; Issued also as CD N2 - The first aim of this thesis is to study the multigrid method for solving a system of linear equations resulting from a discretization of a partial differential equation (PDE ) using the finite difference and finite element discretizations . Another aim is to study the multigrid t - extrapolation method for solving couled systems of PDEs and obtaining an improved convergence order and a high accuracy in compared with a direct solver such as the Gauss - elimination method UR - http://172.23.153.220/th.pdf ER -