Block-preconditioned conjugate-gradient-like methods for numerical reservoir simulation
Block-preconditioned conjugate-gradient-like methods for numerical reservoir simulation
复制标题
用于数值油藏模拟的块预条件共轭梯度法
DOI：
10.2118/13534-pa
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
Martin H. Schlutz
中科院分区：
文献类型：
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作者：
S. Eisenstat;H. Elman;Martin H. Schlutz
作者描述了一组用于通过迭代方法求解大型稀疏线性方程组的块预处理器，并将其性能与几个点预处理器在求解油藏数值模拟中出现的一些系统时进行了比较。他们考虑以隐式方式处理线或平面的块预处理器，以及与部分消除预处理器相结合的逐点不完全LU分解。他们的结论是，最好的逐点方法更强大，速度更快，但最好的块方法对于未知数的某些顺序具有竞争力，并且需要更少的存储。
The authors describe a collection of block-preconditioners for use in solving large sparse linear systems of equations by iterative methods, and they compare their performance with several point-preconditioners in solving some systems arising in numerical reservoir simulation. They consider block-preconditioners that handle either lines or planes in an implicit manner, and pointwise incomplete LU factorizations combined with partial elimination preprocessors. Their conclusions are that the best of the pointwise methods are both more robust and faster, but that the best of the block methods are competitive for certain orderings of unknowns and require less storage.