Finite volume method and its application in the problem for determining solution The thesis introduced principal of minimum potential energy , principle of virtual work and Ritz-Galerkin method. It is mainly discussed finite volume method of problem for determining solution of elliptic equation and of hyperbolic equation. It is briefly stated that the convergence and error of numerical solutions for elliptic equation. Besides that, it is derived that a special scheme of finite volumn for solving the poisson equation in the rectangle domain, and is obtained the numerical solution by programming. After that, I compared the excise solution with the numerical solution, and came to a simple conclusion. This five point scheme is deduced in the thesis, though it’s simple, it has its limit. It works well when the boundary is regular and its error become large when the boundary is irregular. The thesis hasn’t dealt with finite volumn method in general condition.

finitvolummethod.txt

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