A Posteriori Error Estimate of the DSD Method for First-Order Hyperbolic Equations
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摘要: 研究了求解一阶双曲问题的间断流线扩散法的后验误差估计,并依此来实现空间网格局部的合理调整,所给的数值算例也验证了此方法的正确性和可行性。Abstract: A posteriori error estimate of the discontinuous-streamline diffusion method for first-order hyperbolic equations was presented,which can be used to adjust space mesh reasonably.A numerical example is given to illustrate the accuracy and feasibility of this method.
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[1] YU Xi-jun, YU De-hao, BAO Yu-zhen. The adaptive finite element methods and a posteriori error estimates[J]. Chinese Journal of Computational Physics,1998,15(5):513-530. [2] 孙澈,汤怀民,吴克俭. 一阶双曲问题的间断流线扩散法[J]. 计算数学,1998,20(1):35-44. [3] 康彤,余德浩. 发展型对流占优扩散方程的FD-SD法的后验误差估计及空间网格调节技术[J]. 数值计算与计算机应用,2000,21(2):194-207. [4] 康彤,余德浩. 二维发展型对流占优扩散方程的FD-SD法的后验误差估计[J]. 计算数学,2000,21(4):487-500. [5] Babuska I, YU De-hao. Asymptotically exact a posteriori error estimator for biquadratic elements[J]. Finite Element in Analysis and Design,1987,3(2):341-354. [6] YU De-hao. The adaptive methods in the finite element and boundary element computation[J]. Progress in Natural Science,1994,2(1):142-148. [7] Verfurth R. A Review of a Posteriori Error Estimation and Adaptive Mesh Refinement Techniques[M]. New York: John Wiley & Sone Ltd and B G Teubner,1996.
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