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| 具有间断系数热传导方程的局部间断Galerkin方法 | |
| 引用本文： | 张志娟,蔚喜军,彭翔. 具有间断系数热传导方程的局部间断Galerkin方法[J]. 数值计算与计算机应用, 2010, 31(1): 8-19 |
| 作者姓名： | 张志娟 蔚喜军 彭翔 |
| 作者单位： | 1. 南昌大学数学系,江西南昌,330031 2. 北京应用物理与计算数学研究所,计算物理实验室,北京,100088 3. 中国矿业大学(北京)计算机系,北京,100083 |
| 摘 要： | 本文给出了求解具有间断系数热传导方程稳定的局部间断Galerkin方法.理论表明,当采用k阶多项式有限元空间逼近时,该方法连续时间的L~2模误差估计阶为O(h~(k+1/2)).文中分别应用显式和隐式时间离散求解局部间断Galerkin格式,数值算例验证了方法的有效性和理论结果. |
| 关 键 词： | 局部间断Galerkin方法 间断系数 热传导方程 数值分析 |
LOCAL DISCONTINUOUS GALERKIN METHOD FOR HEAT-CONDUCTION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS |
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| Zhang Zhijuan,Yu Xijun,Peng Xiang. LOCAL DISCONTINUOUS GALERKIN METHOD FOR HEAT-CONDUCTION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS[J]. Journal on Numerical Methods and Computer Applications, 2010, 31(1): 8-19 | |
| Authors: | Zhang Zhijuan Yu Xijun Peng Xiang |
| Affiliation: | Zhang Zhijuan (Department of Mathematics,Nanchang University,Nanchang 330031,Jiangxi,China) Yu Xijun (Laboratory of Computational Physics,Institute of Applied Physics , Computational Mathematics,Beijing 100088,China) Peng Xiang (Department of Computer,China University of Mining , Technology,Beijing 100083,China) |
| Abstract: | In this paper we develop a stable local discontinuous Galerkin method to solve the heat-conduction equations with discontinuous coefficients.When the finite element space uses interpolative polynomials of degree k,the convergence rate of the solution of the continuous-time LDG scheme has an order 0(h~(k+1/2)) in L~2 norm.Numerical experiments,which are given for both explicit and implicit time discretization,verify the efficiency and accuracy of the method. |
| Keywords: | Local discontinuous Galerkin method discontinuous coefficient heat-conduction equation numerical analysis |
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