Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

Kim D; Park EJ

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Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

机译：具有梯度非线性项的椭圆方程的原始混合有限元逼近

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We study the primal mixed finite-element approximation of the second-order elliptic problem with gradient nonlinearities. Existence and uniqueness of the approximate solution are proved and optimal-order a priori error estimates are obtained. Also, reliable a posteriori error estimators are derived. (C) 2006 Elsevier Ltd. All rights reserved.

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《Computers & mathematics with applications》 |2006年第5期|p. 793-804|共12页
作者
Kim D; Park EJ;
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作者单位

Yonsei Univ, Univ Coll, Seoul 120749, South Korea;

Yonsei Univ, Dept Math, Seoul 120749, South Korea;

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正文语种 eng
中图分类计算机的应用;
关键词
nonlinear equations; primal mixed finite-element methods; a priori error estimates; a posteriori error estimate; ENHANCED ASSUMED STRAIN; LINEAR-PROBLEMS;

机译：非线性方程;原始混合有限元方法;先验误差估计;后验误差估计;增强假定应变;线性问题;

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Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

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