煤田地质与勘探
煤田地質與勘探
매전지질여감탐
COAL GEOLOGY & EXPLORATION
2014年
6期
101-104,109
,共5页
无网格局部Petrov-Galerkin法%大地电磁%无单元Galerkin法%有限元法
無網格跼部Petrov-Galerkin法%大地電磁%無單元Galerkin法%有限元法
무망격국부Petrov-Galerkin법%대지전자%무단원Galerkin법%유한원법
meshless local Petrov-Galerkin method%magnetotelluric%element-free Galerkin method%finite element method
将无网格局部 Petrov-Galerkin 算法用于大地电磁二维正演。介绍了该方法的基本原理；从大地电磁二维边值问题出发，利用子域法详细推导了与之对应的局部 Petrov-Galerkin 弱式方程，并用高斯积分法将其离散化。论述了无网格局部 Petrov-Galerkin法较无单元 Galerkin法及有限元法的优缺点，最后通过二维模型的计算验证了算法的有效性。
將無網格跼部 Petrov-Galerkin 算法用于大地電磁二維正縯。介紹瞭該方法的基本原理；從大地電磁二維邊值問題齣髮，利用子域法詳細推導瞭與之對應的跼部 Petrov-Galerkin 弱式方程，併用高斯積分法將其離散化。論述瞭無網格跼部 Petrov-Galerkin法較無單元 Galerkin法及有限元法的優缺點，最後通過二維模型的計算驗證瞭算法的有效性。
장무망격국부 Petrov-Galerkin 산법용우대지전자이유정연。개소료해방법적기본원리；종대지전자이유변치문제출발，이용자역법상세추도료여지대응적국부 Petrov-Galerkin 약식방정，병용고사적분법장기리산화。논술료무망격국부 Petrov-Galerkin법교무단원 Galerkin법급유한원법적우결점，최후통과이유모형적계산험증료산법적유효성。
This Paper devotes meshless local Petrov-Galerkin method to magnetotelluric two-dimensional forward modeling. Its basic principle was introduced. From magnetolelluric 2-D boundary values, using subdomain method, the corresponding weak equation of local Petrov-Galerkin is derived and discreted by gauss integral method. The advantages and disadvantages of meshless local Petrov-Galerkin method are discussed in comparison with element-free Galerkin method and finite element method. At last, the validity of the algorithm is verified by two-dimensional model calculations.
