Unified framework for finite element assembly

Unified framework for finite element assembly
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DOI:
10.1504/ijcse.2009.029160
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发表时间:
2009-01-01
影响因子:
2
通讯作者:
Langtangen, H. P.
Langtangen, H. P.
中科院分区:
其他
文献类型:
--
作者:
Alnaes, M. S.;Logg, A.;Langtangen, H. P.

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任何有限元模拟的核心都是离散变分形式的矩阵和向量的组装。我们提出了有限元程序的特定问题组件和通用组件之间的通用接口。该接口称为统一形式汇编代码(UFC)。涵盖了广泛的有限元问题,包括混合有限元和不连续伽辽金方法。我们讨论 UFC 接口如何使变分形式评估的实现独立于网格和线性代数组件。 UFC不依赖于任何外部库,并发布到公共领域。
At the heart of any finite element simulation is the assembly of matrices and vectors from discrete variational forms. We propose a general interface between problem-specific and general-purpose components of finite element programs. This interface is called Unified Form-assembly Code (UFC). A wide range of finite element problems is covered, including mixed finite elements and discontinuous Galerkin methods. We discuss how the UFC interface enables implementations of variational form evaluation to be independent of mesh and linear algebra components. UFC does not depend on any external libraries, and is released into the public domain.