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.
In this paper we develop a stable local discontinuous Galerkin method to solve the heatconduction equations with discontinuous coefficients. When the finite element space uses interpolative polynomials of degree k, the convergence rate of the solution of the continuoustime LDG scheme has an order O（h^k=1/2） in L2 norm. Numerical experiments, which are given for both explicit and implicit time discretization, verify the efficiency and accuracy of the method.
出处
《数值计算与计算机应用》
CSCD
北大核心
2010年第1期8-19,共12页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(批准号:10471011
10771019)资助项目.
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
discontinuous coefficient
heat-conductionequation
numerical analysis
