Convergence of the Multipoint Flux Approximation L-Method on General Grids
Convergence of the Multipoint Flux Approximation L-Method on General Grids
复制标题
一般网格上多点通量逼近L法的收敛性
DOI：
10.1137/100781577
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
A. Stephansen
中科院分区：
文献类型：
--
作者：
A. Stephansen
我们证明了一阶收敛的通量和压力的多点通量近似（MPFA）方法称为MPFA L-方法。证明是基于Brezzi，Lipnikov和Shashkov在2005年的模拟有限差分论文。该过程的特殊之处在于，在单元内部不需要速度插值。因此，速度场的体积积分被仅涉及通量的求积代替。这个证明在多面体上是有效的，但是限制了MPFA L-方法选择每个半面模板的可能性，这是通常的程序。收敛所需的假设是局部的，并对网格变形和渗透率张量的各向异性造成限制。然后利用这一假设比较了MPFA L-方法与MPFA O-方法和拟有限差分方法的收敛性。
We prove first order convergence of the flux and the pressure for the multipoint flux approximation (MPFA) method known as the MPFA L-method. The proof is based on that presented for the mimetic finite difference paper by Brezzi, Lipnikov, and Shashkov in 2005. Particular to this procedure is that no velocity interpolation is needed inside the element. Hence the volume integration of the velocity field is substituted with a quadrature involving only the fluxes. The proof is valid on polyhedra but limits the possibility of the MPFA L-method to choose a stencil to each and every half-face, as is the usual procedure. The assumption needed for convergence is local and poses limits on grid deformation and the anisotropy of the permeability tensor. This assumption is then used to compare the convergence properties of the MPFA L-method with those of the MPFA O-method and the mimetic finite difference method.
影响因子：
1.8
作者：
R. Helmig;B. I. Wohlmuth
通讯作者：
B. I. Wohlmuth
均匀网格上均匀介质多点通量近似 Lâ 方法的收敛性
影响因子：
3.9
作者：
Helmig;Wohlmuth
通讯作者：
Wohlmuth