论文部分内容阅读
用变分有限元方法对描述地下流体渗流的偏微分方程进行了分析。论述了能量泛函数极值的问题，证明了原微分方程的解和能量泛函数极值的等价性以及变分有限元方法与伽略金有限元方法的等价性，为其在油藏数值模拟中的进一步应用提供了理论依据。
The differential equations describing the seepage of subsurface fluid are analyzed by variational finite element method. The extremum of energy functional is discussed. The equivalence between the solution of the original differential equation and the extremum of energy functional, and the equivalence of the variational finite element method and the Galerkin finite element method are proved. The further application in numerical simulation provides the theoretical basis.