PARALLEL FINITE ELEMENT METHOD FOR 2-DIMENSIONAL WAVE EQUATION

摘要

By using finite element discretization in space domain and 2-order central difference discretization in time domain separately, a full discretization scheme is given for 2-dimensional wave equation. Then parallelization of the formation and solution process of finite element equations is described in detail. Numerical experiments were carried out base on parallel computing environment using C language and MPI. Numerical results show that, the total time increases while the data scale increases; when data scale is fixed, speedup ascends approximately linearly and the total time descends sharply when number of processors is not too large. As the number of processors increases, parallel efficiency descends gradually. Take time used by serial part of the program into account, total time is highly identical with the theoretic value.