Solution Adapted Mesh Refinement and Sensitivity Analysis for Parabolic Partial Differential Equation Systems
Solution Adapted Mesh Refinement and Sensitivity Analysis for Parabolic Partial Differential Equation Systems
复制标题
抛物型偏微分方程系统的自适应网格细化和灵敏度分析
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
L. Petzold
中科院分区：
文献类型：
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作者：
Shengtai Li;L. Petzold
提出了一种求解抛物型偏微分方程组的结构自适应网格加密(SAMR)方法。解的计算在空间上采用有限差分或有限体积法，在时间上采用后向微分公式积分。空间SAMR和时间BDF的结合是为解决空间尖锋的细尺度轮廓和时间隐式积分以提高计算效率而设计的。给出了自适应网格的正演灵敏度分析方法。
We have developed a structured adaptive mesh refinement (SAMR) method for paraboli c partial differential equation (PDE) systems. Solutions are calculated using the finite-difference or finite-volumemethod in space and backward differentiation formula (BDF) integration in time. The combination of SAMR in space and BDF in time is designed for problems where the fine-scale profile of sharp fronts in space should be resolved and implicit integration in time is necessary to improve the efficiency of the computation. Methods for forward sensitivity analysis on the adaptive mesh are presented.