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Sobolev方程的全离散有限体积元格式及数值模拟 被引量：3

A FULLY DISCRETE FINITE VOLUME ELEMENT FORMULATION FOR SOBOLEV EQUATION AND NUMERICAL SIMULATIONS
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摘要 本文研究二维Sobolev方程的有限体积元方法,给出一种全离散化有限体积元格式及其有限体积元解的误差估计,并用数值例子说明数值计算的结果与理论结果是相吻合的,进一步说明了有限体积元方法比其他数值方法更优越. In this paper, a finite volume element method for 2D Sobolev equation is studied and a fully discrete finite volume element formulation and error estimates are derived. Some nu- merical examples illustrate the fact that the results of numerical computation are consistent with theoretical conclusions. Moreover, it is shown that the finite volume element method is more advantageous than others for finding numerical solutions of Sobolev equation.
作者 李宏 罗振东 安静 孙萍
机构地区 内蒙古大学数学科学学院 华北电力大学数理学院 贵州师范大学数学与计算机科学学院
出处 《计算数学》 CSCD 北大核心 2012年第2期163-172,共10页 Mathematica Numerica Sinica
基金 国家自然科学基金(批准号:11061009和11061021) 河北省自然科学基金(批准号:A2010001663) 贵州省科技计划项目(批准号:黔科合J字[2011]2367) 内蒙古自治区高等学校研究项目(批准号:NJ 10006)资助
关键词 SOBOLEV方程 有限体积元格式 全离散格式 误差估计 Sobolev equation finite volume element formulation fully discrete formulation error estimate
分类号 O241.82 [理学—计算数学]
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参考文献18

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二级参考文献12

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计算数学
2012年 第2期

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