有限元线性代数方程组的紧致存储格式及解法

A Packed Saving and Solving Method for Large FEM Algebraic Equations

根据有限元总体系数矩阵的特点，提出了一种紧致存储格式及总体系数矩阵的合成过程，并提出了在此格式下，代数方程组的求解方法．该方法充分利用计算机内存，在内存中开辟消元区和暂存区，在微机上实现了大型流体力学问题的有限元求解．

A packed scheme to save and to solve the coefficients of FEM algebraic equations is presented in the paper. In the scheme,an identification array is generated from the index nodes table of FEM condition,and coefficients are saved according to the array. To solve the equation,the elimination is processed in an active region,and the active row is moved to a buffer. All rows in the buffer are saved in a hardware as diffierent data files while the buffer is full. Finally,the files are read into the memery and solved backward. With this method,fewer memory are required and less time is cost.