In this paper, we obtain convergence of a posteriori error indicator to 0 when the mesh size h goes to 0 for the finite element approximation of source-boundary control problems governed by a system of semi-linear elliptic equations. We give the upper and lower bound of a posteriori error, and convergency of a posteriori error indicator.
| Published in | Mathematics Letters (Volume 11, Issue 2) |
| DOI | 10.11648/j.ml.20251102.12 |
| Page(s) | 41-59 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2025. Published by Science Publishing Group |
Semi-linear Elliptic Equations, Source Control, A Posteriori Error Estimate
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APA Style
Kim, C. I., Kang, J. H., Sok, G. C. (2025). A Posteriori Error Estimates and Convergence of Error Indicator by FEM for a Semi-linear Elliptic Source-boundary Control Problem. Mathematics Letters, 11(2), 41-59. https://doi.org/10.11648/j.ml.20251102.12
ACS Style
Kim, C. I.; Kang, J. H.; Sok, G. C. A Posteriori Error Estimates and Convergence of Error Indicator by FEM for a Semi-linear Elliptic Source-boundary Control Problem. Math. Lett. 2025, 11(2), 41-59. doi: 10.11648/j.ml.20251102.12
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Download@article{10.11648/j.ml.20251102.12,
author = {Chang Il Kim and Jong Hyok Kang and Gi Chol Sok},
title = {A Posteriori Error Estimates and Convergence of Error Indicator by FEM for a Semi-linear Elliptic Source-boundary Control Problem
},
journal = {Mathematics Letters},
volume = {11},
number = {2},
pages = {41-59},
doi = {10.11648/j.ml.20251102.12},
url = {https://doi.org/10.11648/j.ml.20251102.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20251102.12},
abstract = {In this paper, we obtain convergence of a posteriori error indicator to 0 when the mesh size h goes to 0 for the finite element approximation of source-boundary control problems governed by a system of semi-linear elliptic equations. We give the upper and lower bound of a posteriori error, and convergency of a posteriori error indicator.
},
year = {2025}
}
TY - JOUR T1 - A Posteriori Error Estimates and Convergence of Error Indicator by FEM for a Semi-linear Elliptic Source-boundary Control Problem AU - Chang Il Kim AU - Jong Hyok Kang AU - Gi Chol Sok Y1 - 2025/09/03 PY - 2025 N1 - https://doi.org/10.11648/j.ml.20251102.12 DO - 10.11648/j.ml.20251102.12 T2 - Mathematics Letters JF - Mathematics Letters JO - Mathematics Letters SP - 41 EP - 59 PB - Science Publishing Group SN - 2575-5056 UR - https://doi.org/10.11648/j.ml.20251102.12 AB - In this paper, we obtain convergence of a posteriori error indicator to 0 when the mesh size h goes to 0 for the finite element approximation of source-boundary control problems governed by a system of semi-linear elliptic equations. We give the upper and lower bound of a posteriori error, and convergency of a posteriori error indicator. VL - 11 IS - 2 ER -
Department of Mathematics, University of Science, Pyongyang, DPR Korea
Department of Mathematics, University of Science, Pyongyang, DPR Korea
Department of Mathematics, University of Science, Pyongyang, DPR Korea
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