摘要
本文根据非标准的有限元法Petrov-Galerkin法的理论,针对描述非线性波动现象的Korteweg-de-Vries方程的周期解问题,采用一阶线性元进行了数值模拟并给出了具体方法的推导和求解过程.计算结果较好,且验证了Petrov-Galerkin有限元法的一些理论结果.
On the basis of the theory of Petrov-Galerkin finite element method, the problem of perio-dic solution of the Korteweg-de-Vires equation describing the nonlinear wave phenomena issimulated by the first-order linear element. Derivation and the solution processes are detailed.Some theoretical analyses of the Petrov-Galerkin finite element method are verified by the com-puted results.
出处
《数值计算与计算机应用》
CSCD
北大核心
1992年第1期73-80,共8页
Journal on Numerical Methods and Computer Applications
