Numerical manifold method for the potential problem
LI Shuchen 1, LI Shucai 1, ZHANG Jingwei 2
1.Department of Underground Space School of Civil and Hydraulic Engineering Shandong University Jinan 250061 China 2.Shandong Provincial Architecture Design and Research Institute Jinan 2500011 China
Abstract：Usually,the governing equations of the numerical manifold method(NMM) are derived from the minimum potential energy principle.For many practical problems,it is very difficult to derive the governing equations of the numerical manifold method with the variational principle.So we should implement the method of weighted residuals to derive the governing equations of the NMM.The numerical manifold method of Laplace equation was presented,it was also more general than the minimum potential energy principle to obtain the governing equations of the NMM.At the same time,the method enriched the mathematical foundation of NMM and extended fields of application.At last,the validity of the method was illustrated by use of two numerical examples.
李树忱；李术才；张京伟；. 势问题的数值流形方法[J]. 岩土工程学报, 2006, 28(12): 2092-2097.
LI Shuchen 1, LI Shucai 1, ZHANG Jingwei 2. Numerical manifold method for the potential problem. Chinese J. Geot. Eng., 2006, 28(12): 2092-2097.
