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Volume 17, Issue 6
On the Convergence of Nonconforming Finite Element Methods for the 2nd Order Elliptic Problem with the Lowest Regularity

Lie-Heng Wang

J. Comp. Math., 17 (1999), pp. 609-614.

Published online: 1999-12

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  • Abstract

The convergences ununiformly and uniformly are established for the nonconforming finite element methods for the second order elliptic problem with the lowest regularity, i.e., in the case that the solution $u \in H^1_0(\Omega)$ only.

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@Article{JCM-17-609, author = {Wang , Lie-Heng}, title = {On the Convergence of Nonconforming Finite Element Methods for the 2nd Order Elliptic Problem with the Lowest Regularity}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {6}, pages = {609--614}, abstract = {

The convergences ununiformly and uniformly are established for the nonconforming finite element methods for the second order elliptic problem with the lowest regularity, i.e., in the case that the solution $u \in H^1_0(\Omega)$ only.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9131.html} }
TY - JOUR T1 - On the Convergence of Nonconforming Finite Element Methods for the 2nd Order Elliptic Problem with the Lowest Regularity AU - Wang , Lie-Heng JO - Journal of Computational Mathematics VL - 6 SP - 609 EP - 614 PY - 1999 DA - 1999/12 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9131.html KW - Nonconforming finite element methods, Lowest regularity. AB -

The convergences ununiformly and uniformly are established for the nonconforming finite element methods for the second order elliptic problem with the lowest regularity, i.e., in the case that the solution $u \in H^1_0(\Omega)$ only.

Wang , Lie-Heng. (1999). On the Convergence of Nonconforming Finite Element Methods for the 2nd Order Elliptic Problem with the Lowest Regularity. Journal of Computational Mathematics. 17 (6). 609-614. doi:
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