摘要
§1.导言近年来,变网格方法正日益为人们所重视与应用,但理论性分析文献仍不多见。文献[1]讨论了某些发展型方程变网格方法的误差估计,但未给出收敛阶估计;文献[2,3]仅对全离散方法讨论了收敛阶问题。本文对一类拟线性抛物问题,于第二节中给出了半离散Galerkin变网格计算格式及其可解性定理;第三节中建立了对称误差估计;
In this paper, Galerkin mesh modification for parabolic problems are studied. The sym-metric error estimates are derived for n-dimensional quasi-linear initial-boundary value pro-blems. An optimal convergence order estimate with the norm associated with a symmetric estimate is established under appropriate assumptions. The L^2 estimate for the changing mesh Galerkin procedure for the one-dimensional semilinear parabolic problem is also discussed and an optimal order convergence estimate is obtained.
出处
《计算数学》
CSCD
北大核心
1990年第4期440-448,共9页
Mathematica Numerica Sinica
基金
国家自然科学基金
