THE FINITE-ELEMENT METHOD WITH LAGRANGE MULTIPLIERS ON THE BOUNDARY - CIRCUMVENTING THE BABUSKA-BREZZI CONDITION
THE FINITE-ELEMENT METHOD WITH LAGRANGE MULTIPLIERS ON THE BOUNDARY - CIRCUMVENTING THE BABUSKA-BREZZI CONDITION
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DOI：
10.1016/0045-7825(91)90125-p
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发表时间：
1991-01-01
影响因子：
7.2
通讯作者：
HUGHES, TJR
中科院分区：
文献类型：
--
作者：
BARBOSA, HJC;HUGHES, TJR
为了避免边界上带有拉格朗日乘子的有限元法中的Babuska-Brezzi条件，在经典的Galerkin方法中加入了类最小二乘项。 附加项包括单元内部积分和网格参数相关系数。 由此产生的配方保持一致性，达到收敛的任意多项式插值是连续的原始变量，这可能是连续或不连续的拉格朗日乘子。
In order to circumvent the Babuska-Brezzi condition in the finite element method with Lagrange multipliers on the boundary, least-squares-like terms are added to the classical Galerkin method. The additional terms involve integrals over element interiors and mesh-parameter dependent coefficients. The resulting formulations retain consistency and attain convergence for arbitrary polynomial interpolations which are continuous for the primal variable and which may be continuous or discontinuous for the Lagrange multiplier.