摘要
Symm积分方程在位势理论中具有重要应用,它是Hadamard意义下的不适定问题.本文在Symm积分方程离散化的基础上,提出了求解Symm积分方程的RRGMRES方法,给出了数值模拟,并与相关文献中所提方法进行了分析比较,结果表明本文提出的方法在求解Symm积分方程时具有计算精度高和抗干扰强的优点.
Symm Integral Equation has an important application in potential theory, which is an ill posed problem in the sense of Hadamard. Based on the discretization of Symm Integral Equation, we propose a RRGMRES method to solve Symm Integral Equation, gives the numerical simulation, and the methods proposed in the related literature are analyzed and compared, the results show that the method proposed in this paper is to solve the Symm Integral Equation has the advantages of high precision and strong anti-interference.
出处
《数值计算与计算机应用》
2018年第1期73-80,共8页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(51679186)
青年科学基金(11601418)
