江汉大学学报(自然科学版)
江漢大學學報(自然科學版)
강한대학학보(자연과학판)
JOURNAL OF JIANGHAN UNIVERSITY(NATURAL SCIENCES)
2014年
2期
31-33
,共3页
Poisson方程%边值问题%双层位势%虚边界元
Poisson方程%邊值問題%雙層位勢%虛邊界元
Poisson방정%변치문제%쌍층위세%허변계원
Poisson equation%boundary value problems%double-layer potential%virtual boundary element
针对求解Poisson方程的边值问题,利用虚边界上分布的矩密度,得出基于双层位势的虚边界元方程。该方法有效地避免了奇异和强奇异积分的计算。数值算例证明了算法的有效性和精确性。
針對求解Poisson方程的邊值問題,利用虛邊界上分佈的矩密度,得齣基于雙層位勢的虛邊界元方程。該方法有效地避免瞭奇異和彊奇異積分的計算。數值算例證明瞭算法的有效性和精確性。
침대구해Poisson방정적변치문제,이용허변계상분포적구밀도,득출기우쌍층위세적허변계원방정。해방법유효지피면료기이화강기이적분적계산。수치산예증명료산법적유효성화정학성。
Towards the boundary problem of Poisson equation,different from the virtual boundary element equation based on the single layer potential,another virtual boundary collocation method (VBCM)is conducted based on double layer potential for Poisson problem,with the moment density distributed on the virtual boundary. The VBCM can avoid the singular,hyper-singular integral ,the numerical example presents the efficiency and accuracy of the method.