摘要
基于楔形基函数和无网格配点法,提出了一种求解Helmholtz型方程区域分解法。该方法克服了在求解大规模问题时用一般的全域配点法所带来的配置矩阵为非对称满阵,且高度病态的问题。通过数值结果表明,该算法在求解Helmholtz型方程降低系数矩阵条件数的同时,也能够降低误差,并达到满意的收敛效果。
A meshless collocation method for Helmholtz-type equations is developed, which is based on domain decomposition method and ridge basis function. This method overcomes the ill-conditioned problems caused by much larger condition number of the coefficient matrix when collocation method is used for solving Helmholtz-type equations defined large-scale regions. According to numerical example and analysis, it is seen that the method Helmholtz-type equations slows down the condition number of the coefficient matrix and calculation errors, and can achieve satisfactory results.
出处
《计算机工程与应用》
CSCD
2013年第13期40-42,84,共4页
Computer Engineering and Applications
基金
陕西省自然科学基金(No.2012JM1008)
关键词
Helmholtz型方程
配点法
楔形基函数
区域分解法
Helmholtz-type equations
collocation method
ridge basis function
domain decomposition method
