| 一类新的抛物方程混合体积元方法 |
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| 引用本文： | 邵雁,姜子文. 一类新的抛物方程混合体积元方法[J]. 科学技术与工程, 2009, 9(16) |
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| 作者姓名： | 邵雁 姜子文 |
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| 作者单位： | 山东师范大学数学科学学院,济南,250014;山东师范大学数学科学学院,济南,250014 |
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| 基金项目： | 国家自然科学基金(10270168;40581119)山东省自然科学基金,山东省高等学校优秀青年老师国内访问学者项目经费资助 |
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| 摘 要： | 与标准的混合体积元方法不同,用梯度算子作用压力方程后,将两个方程均在对偶单上积分,得到新的混合体积元格式,且得到了速度H(div)模和压力L2模的最优误差估计.
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| 关 键 词： | 抛物方程 混合体积元 误差估计 |
New Class of Mixed Covolume Methods for Parabolic Problems |
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| SHAO Yan,JIANG Zi-wen. New Class of Mixed Covolume Methods for Parabolic Problems[J]. Science Technology and Engineering, 2009, 9(16) |
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| Authors: | SHAO Yan JIANG Zi-wen |
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| Affiliation: | School of Mathematics Science;Shandong Normal University;Jinan 250014;P.R.China |
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| Abstract: | Compared with the standard mixed volume elment method,the pressure equation is reformulated as working gradient operator,and then the two equqtions are integrated over the dual grids.Also it is shown that the finite element approximations have the same optimal rate of convergence for the pressure in H(div)-norm and the velocity in L2-norm. |
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| Keywords: | parabolic problem mixed covolume method error estimates |
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