CAJ | 학술논문

在对称区域中,构造出满足对称边界条件的基本解函数,并推广到基本解方法（MFS）中求解Poisson方程的边界值问题.利用构造出的基本解,输入数据和所需求解的线性方程组数目可减少到原来（不利用对称性的基本解函数所需的方程组数目）的1/2或1/4,具有计算时间短、精度高、编程简单、输入数据少等优点.通过数值计算可以看出,计算结果与解析解之间的误差很小,说明该方法值得推广使用.
재대칭구역중,구조출만족대칭변계조건적기본해함수,병추엄도기본해방법（MFS）중구해Poisson방정적변계치문제.이용구조출적기본해,수입수거화소수구해적선성방정조수목가감소도원래（불이용대칭성적기본해함수소수적방정조수목）적1/2혹1/4,구유계산시간단、정도고、편정간단、수입수거소등우점.통과수치계산가이간출,계산결과여해석해지간적오차흔소,설명해방법치득추엄사용.
The method of fundamental solution（MFS） with reconstructed fundamental functions is introduced to solve the boundary problems of Poisson equations in the symmetrical region.With the help of these reconstructed functions,the amount of inputting data and linear equations are only the half or quarter of those which uses the original fundamental functions.MFS with reconstructed fundamental functions has the merits of less computing time,high accuracy and simple programming.The numerical examples show that the results of MFS are coincident with the analytical solutions.