The Schur complement method as a fast parallel solver for elliptic partial differential equations in oceanography
The Schur complement method as a fast parallel solver for elliptic partial differential equations in oceanography
复制标题
Schur 补法作为海洋学中椭圆偏微分方程的快速并行求解器
DOI：
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发表时间：
1999
影响因子：
4.3
通讯作者：
N. Rakowsky
中科院分区：
文献类型：
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作者：
N. Rakowsky
在具有复杂几何结构的区域中，具有变系数的椭圆型偏微分方程组存在于许多海洋模型中。针对冰海模型BRIOS，提出了用Shur补码方法对椭圆求解器进行并行化的方法。Schur补方法通常被用作迭代求解器，但对于这类特殊的椭圆问题，显式求逆Schur补矩阵的直接方法被证明是非常合适的。版权所有©1999 John Wiley&Sons，Ltd.
Elliptic PDEs with variable coefficients in a domain with complex geometry occur in many ocean models. The parallelization of the elliptic solver by the Shur complement method is presented for the ice–ocean model BRIOS. The Schur complement method is usually employed as an iterative solver, but for this special class of elliptic problems the direct approach with an explicitly inverted Schur complement matrix proves to be very well suited. Copyright © 1999 John Wiley & Sons, Ltd.