MANIFOLD METHOD AND ITS APPLICATION TO ENGINEERING PROBLEMS
流形元法及其在工程中的应用

Manifold method which is applicable to arbitrary shapes but requires only nodal data is applied to solve mechanics problems. It is used to slove partial differential equations with moving least squares interpolants. This method requires only nodal data and no element connectivity is needed. Lagrange multipliers are used to ensure the essential boundary conditions. Weighted orthogonal basis functions are constructed, so the need for solving equations at each quadrature point is eliminated. Using covers in manifold is effective in obtaining its solution of the domain. It is much simplier than FEM.