| 非线性抛物型方程的二次元有限体积元方法 |
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| 引用本文： | 杨旻.非线性抛物型方程的二次元有限体积元方法[J].高等学校计算数学学报,2004,26(3):257-266. |
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| 作者姓名： | 杨旻 |
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| 作者单位： | 山东大学数学与系统科学学院,济南,250100 |
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| 基金项目： | 国家重点基础研究专项经费(1999032803)，国家自然科学基金(10372052,10271066)，教育部博士点基金资助项目(20030422047). |
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| 摘 要： | In this paper, a fully discrete finite volume element method for a class of second order nonlinear parabolic equations is given. Piecewise quadratic trial functions and piecewise constant test functions are used to obtain error estimates. A numerical example is given at, the end to show the feasibility of the method.
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| 关 键 词： | 非线性抛物型方程 二次元 有限体积元 广义差分 热传导 |
QUADRATIC FINITE VOLUME ELEMENT METHODS FOR NONLINEAR PARABOLIC EQUATIONS |
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| Yang Min.QUADRATIC FINITE VOLUME ELEMENT METHODS FOR NONLINEAR PARABOLIC EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities,2004,26(3):257-266. |
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| Authors: | Yang Min |
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| Abstract: | In this paper, a fully discrete finite volume element method for a class of second order nonlinear parabolic equations is given. Piecewise quadratic trial functions and piecewise constant test functions are used to obtain error estimatcs. A numerical example is given at the end to show the feasibility of the method. |
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| Keywords: | nonlinear parabolic equation quadratic Lagrange elemcnt finite vol-ume element method error cstimates |
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