Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
复制标题
抛物方程 DG 和 CG 时间步进方案的紧致性
DOI：
10.1137/080728378
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
N. Walkington
中科院分区：
文献类型：
--
作者：
N. Walkington
对于一类广泛的抛物型方程，证明了用任意阶的间断Galerkin或连续Galerkin时间步进格式计算的数值解将继承底层方程的紧性。本文给出了两种具有表面张力的流体流动相场近似数值格式的收敛性来说明这些结果。
For a broad class of parabolic equations it is shown that numerical solutions computed using the discontinuous Galerkin or the continuous Galerkin time stepping schemes of arbitrary order will inherit the compactness properties of the underlying equation. Convergence of numerical schemes for a phase field approximation of the flow of two fluids with surface tension is presented to illustrate these results.