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- W2381361708 abstract "Suppose having got the approximate solution to the exact solution of the second order elliptic boundary problem-(β(x)p′(x))′=f(x) by the standard finite element method,a constructive method for evaluating the approximate flux p_h to the exact flux u=-β_p′was proposed in this paper.u_h is a continuous piecewise linear function,but dealing with nonpositive definits coefficient matrices is very difficult by using usual numerical algebra methods.Thus a constructive method for evaluating the approximate flux p_h,Galerkin funite element method satisfying local conservation law is proposed u_h.Once p_h was got,each finite element u_h can be calculated directly via a very simple formula based on the local conservation law and continuity.Thus this method not only maintains local conservation law at the element level,but also saves lots of calculating work.Then the convergence and super convergence of this method were analyzed.Numerical results show its advantages." @default.
- W2381361708 created "2016-06-24" @default.
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- W2381361708 date "2005-01-01" @default.
- W2381361708 modified "2023-09-28" @default.
- W2381361708 title "A GALERKIN FINITE ELEMENT METHOD SATISFYING LOCAL CONSERVATION LAW" @default.
- W2381361708 hasPublicationYear "2005" @default.
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