A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method
A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method
复制标题
使用 DASPK 和高阶有限元法求解三个空间维度抛物线系统时预处理器的比较
DOI：
10.1016/0168-9274(95)00120-4
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Robert H. Dillion
中科院分区：
文献类型：
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作者：
P. Moore;Robert H. Dillion
我们描述了一个算法求解系统的抛物型偏微分方程在三维空间。近似的解决方案，确定使用Galerkin的方法与高阶，分段多项式层次的基础在空间和微分代数方程代码DASPK在时间。在三个测试问题上，DASPK的一个变体，计算雅可比向量积与存储的分析雅可比矩阵进行比较，与默认的矩阵自由近似的雅可比向量积。几个预条件进行了比较，包括不完全Cholesky，带状LU和元素的元素分解。
We describe an algorithm for solving systems of parabolic partial differential equations in three space dimensions. Approximate solutions are determined using Galerkin's method with a high order, piecewise polynomial hierarchical basis in space and the differential algebraic equations code DASPK in time. On three test problems, a variant of DASPK that computes Jacobian vector products with a stored analytic Jacobian is compared with the default matrix-free approximation of the Jacobian vector product. Several preconditioners are compared including incomplete Cholesky, banded LU and element-by-element factorizations.
DOI：
10.1137/0910062
发表时间：
1989-09-01
期刊：
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING
影响因子：
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作者：
BROWN, PN;BYRNE, GD;HINDMARSH, AC
通讯作者：
HINDMARSH, AC