Component splitting for semi-discrete Maxwell equations
Component splitting for semi-discrete Maxwell equations
复制标题
半离散麦克斯韦方程的分量分裂
DOI：
10.1007/s10543-010-0296-y
复制
发表时间：
2011
影响因子：
1.5
通讯作者：
J. Verwer
中科院分区：
文献类型：
--
作者：
J. Verwer
提出了一种求解半离散线性麦克斯韦方程组的时间积分方法。该方案的特殊之处在于它采用了分量分裂。分量分裂的思想是在时间上显式地推进半离散系统的大部分分量，而隐式地推进其余部分。其目的是为了避免严重的步长限制所造成的网格引起的刚度从局部细化的空间网格。该方案是一个混合现有的二阶组合方案，显式处理波项和二阶隐式梯形规则。新的混合方案保留了组合属性，从而实现更高阶的组合。
A time-integration scheme for semi-discrete linear Maxwell equations is proposed. Special for this scheme is that it employs component splitting. The idea of component splitting is to advance the greater part of the components of the semi-discrete system explicitly in time and the remaining part implicitly. The aim is to avoid severe step size restrictions caused by grid-induced stiffness emanating from locally refined space grids. The proposed scheme is a blend of an existing second-order composition scheme which treats wave terms explicitly and the second-order implicit trapezoidal rule. The new blended scheme retains the composition property enabling higher-order composition.