FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS

FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS
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DOI:
10.1007/bf01436561
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发表时间:
1973-01-01
影响因子:
2.1
通讯作者:
BABUSKA, I
BABUSKA, I
中科院分区:
数学2区
文献类型:
--
作者:
BABUSKA, I

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二阶微分方程的狄利克雷问题被选为一个模型问题,以显示如何有限元方法可以实现,以避免困难,履行本质(稳定)的边界条件。该实现是基于拉格朗日乘子的应用。证明了算法的收敛速度。
The Dirichlet problem for second order differential equations is chosen as a model problem to show how the finite element method may be implemented to avoid difficulty in fulfilling essential (stable) boundary conditions. The implementation is based on the application of Lagrangian multiplier. The rate of convergence is proved.