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| 摘要: |
| 本文研究了二维热传导方程的初始条件反问题，利用Crank-Nicolson-Galerkin有限元方法对二维热传导方程进行离散，给出了其正问题的求解方法.此基础上，提出了限制值域的GMRES的求解算法（RRGMRES）.数值模拟结果表明本文方法可行且有效. |
| 关键词: 二维 热传导方程 Crank-Nicolson-Galerkin 有限元 限制值域 GMRES算法 |
| DOI： |
| 分类号:O242.2 |
| 基金项目: |
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| NUMERICAL SOLUTION OF THE INITIAL CONDITION INVERSE PROBLEM FOR THE TWO-DIMENSIONAL HEAT CONDUCTION EQUATION |
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MIN Tao,HAN Ying-ying
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| Abstract: |
| In this paper, the inverse problem of initial conditions for two-dimensional heat conduction equation is studied. The two-dimensional heat conduction equation is discretized by using Crank-Nicolson-Galerkin finite element method, and the solution method of its forward problem is given. On the basis, the GMRES algorithm(RRGMRES) of limited range is proposed. Numerical simulation results show that the proposed method is feasible and effective. |
| Key words: two-dimensional heat conduction equation Crank-Nicolson-Galerkin finite element method restricted range GMRES algorithm |
