An upwind finite volume element method for nonlinear evolutional problem and theory analysis

Fuzheng Gao, T. Zhang, Feng Chang
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Abstract

An upwind finite volume element method (FVEM) is constructed for computing the nonlinear evolutional problems. The priori error estimates in L2-norm and H1-norm are derived to determine the errors in the approximate solution. Numerical experiment shows that the method is a very effective engineering computing method.
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非线性演化问题的迎风有限体积元方法及理论分析
构造了一种用于求解非线性演化问题的迎风有限体积元法。推导l2 -范数和h1 -范数的先验误差估计,以确定近似解中的误差。数值实验表明,该方法是一种非常有效的工程计算方法。
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