【摘要】 给出三角网上二维非线性抛物方程广义差分法(有限体积法)的一种基于残量估计的后验误差估计,并在此基础上设计了自适应计算方案,以适应物理解在时空的大梯度变化.提出了适合发展方程自适应计算的三角网数据结构(不是树状结构)和灵活的局部粗化算法.更多还原

【Abstract】 A posteriori error estimates of residual type for generalized difference method (finite volume method) are derived for 2D nonlinear parabolic equation on triangular meshes and an adaptive scheme suitable to problems with sharp moving fronts is designed.A data structure (not a tree structure) and a flexible local coarsening method for triangular meshes suitable to adaptive computations for evolution problems are also presented.更多还原