A class of variational equations and the boundednes of its solution 一類變分方程解的有界性
The explict structure of solution of a class of symmetric variational equation by stationary topy 一類平穩(wěn)型對(duì)稱變分方程解的顯式結(jié)構(gòu)
Connexion of first integrals with particular solution to the variational equations for birkhoffian systems 系統(tǒng)的第一積分與其變分方程特解的聯(lián)系
In this paper , the boundary problem of laplace equation is changed into the variational equation which is equivalent to the boundary integral equation . using linear element , it is solved by galerkin boundary element method 本文把laplace方程的邊值問(wèn)題轉(zhuǎn)化為邊界積分方程后,通過(guò)與邊界積分方程等價(jià)的變分形式,采用線性單元,利用galerkin邊界元方法求解。
In efgm , in order to get a numerical solution for a partial differential equation , the shape function is constructed by moving least squares ( mls ) , the control equation is derived from the weak form of variational equation and essential boundary conditions are imposed by penalty function method 它采用移動(dòng)最小二乘法構(gòu)造形函數(shù),從能量泛函的弱變分形式中得到控制方程,并用罰函數(shù)法施加本質(zhì)邊界條件,從而得到偏微分方程的數(shù)值解。