Title :
A coupled numerical method for relaxed minimizers and inhomogeneous microstructures
Author_Institution :
Sch. of Math. Sci., Beijing Univ., China
Abstract :
A numerical method is established to solve a coupled problem of minimizing a nonquasiconvex potential energy and its relaxed energy. Convergence of the method is proved. A numerical example shows that the method is successful and efficient in solving problems with nonlinear boundary data and inhomogeneous laminated microstructures.
Keywords :
convergence of numerical methods; mathematics computing; minimisation; coupled numerical method; inhomogeneous laminated microstructures; inhomogeneous microstructures; nonlinear boundary data; nonquasiconvex potential energy minimisation; relaxed minimizers;
Conference_Titel :
High Performance Computing in the Asia-Pacific Region, 2000. Proceedings. The Fourth International Conference/Exhibition on
Conference_Location :
Beijing, China
Print_ISBN :
0-7695-0589-2
DOI :
10.1109/HPC.2000.843594
