Volume 2, Issue 4
Localized Pointwise Error Estimates and Global Lp Error Estimates for Nitsche's Method

MICHAEL NEILAN

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 338-354

Published online: 2011-02

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  • Abstract
We derive localized pointwise error estimates for Nitsche's method applied to an elliptic second order problem in R^n (n=2,3). Using these results, we also prove quasi-optimal global L^p error estimates as well. Numerical experiments are provided which back up the theoretical findings.
  • AMS Subject Headings

65M60 65N30

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-2-338, author = {MICHAEL NEILAN}, title = {Localized Pointwise Error Estimates and Global Lp Error Estimates for Nitsche's Method}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2011}, volume = {2}, number = {4}, pages = {338--354}, abstract = {We derive localized pointwise error estimates for Nitsche's method applied to an elliptic second order problem in R^n (n=2,3). Using these results, we also prove quasi-optimal global L^p error estimates as well. Numerical experiments are provided which back up the theoretical findings.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/316.html} }
TY - JOUR T1 - Localized Pointwise Error Estimates and Global Lp Error Estimates for Nitsche's Method AU - MICHAEL NEILAN JO - International Journal of Numerical Analysis Modeling Series B VL - 4 SP - 338 EP - 354 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/316.html KW - Nitsche's method KW - pointwise error estimates KW - L^p error estimates AB - We derive localized pointwise error estimates for Nitsche's method applied to an elliptic second order problem in R^n (n=2,3). Using these results, we also prove quasi-optimal global L^p error estimates as well. Numerical experiments are provided which back up the theoretical findings.
MICHAEL NEILAN. (2011). Localized Pointwise Error Estimates and Global Lp Error Estimates for Nitsche's Method. International Journal of Numerical Analysis Modeling Series B. 2 (4). 338-354. doi:
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