isem meaning in English
国际生态模造学会
Examples
- Main results follows : ( 1 ) the computational result of this paper verifies ( though only in numerical sense ) the assumption about the structure and distribution of the multiple solutions of odd nonlinear equations [ 4 ] , and we can obtain the corresponding solution from any given initial guess [ 4 ] more solutions can be obtained by isem than by any other existed methods ( such as mpa , hla ) in some domains ( such as square , triangle and l domain )
主要结果如下: ( 1 )利用isem方法算得的数值结果初步证实了文[ 4 ]中关于奇非线性椭圆型方程多解的分布结构的猜想,从任一特定的初值出发,可以算得它所对应的解。在某些区域(正方形区域、三角形区域和上型区域)上算得了比现有的其他方法(山路型算法mpa和high - linking算法等)更多的解。 - Based on the search - extend - method ( sem ) that proposed by c . m . chen and z . q . xie for computing multiple solutions of nonlinear elliptic equation , this paper introduces the fem and the interpolated coefficient finite element method into the sem and calls this improved version as isem . isem not only can reduce our expensive computation greatly but also can be generalized to non - odd nonlinearity cases as well as many different domains ( including the concave domains )
本文在c . m . chen和z . q . xie提出的一种全新的计算非线性椭圆型方程多解的搜寻延拓方法sem的基础上,引入了有限元方法和插值系数方法,改进后的sem (称为isem )大大减少了计算量,并且将原方法推广到非奇非线性情形和多种区域(包括凹域)上。