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PreprintarXiv licencearXiv

A Priori and A Posteriori Error Estimates for a Crank Nicolson Type Scheme of an Elliptic Problem with Dynamical Boundary Conditions

  • Rola Ali Ahmad
  • Toufic El Arwadi
  • Houssam Chrayteh
  • Jean-Marc Sac-Épée
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Abstract

In this article we claim that we are going to give a priori and a posteriori error estimates for a Crank Nicolson type scheme. The problem is discretized by the finite elements in space. The main result of this paper consists in establishing two types of error indicators, the first one linked to the time discretization and the second one to the space discretization.

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Cite

BibTeXRIS
BibTeX
@misc{ahmad2026priori,
  title = {{A Priori and A Posteriori Error Estimates for a Crank Nicolson Type Scheme of an Elliptic Problem with Dynamical Boundary Conditions}},
  author = {Rola Ali Ahmad and Toufic El Arwadi and Houssam Chrayteh and Jean-Marc Sac-Épée},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21524},
  eprint = {2609.21524},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21524},
}
RIS
TY  - UNPB
TI  - A Priori and A Posteriori Error Estimates for a Crank Nicolson Type Scheme of an Elliptic Problem with Dynamical Boundary Conditions
AU  - Rola Ali Ahmad
AU  - Toufic El Arwadi
AU  - Houssam Chrayteh
AU  - Jean-Marc Sac-Épée
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21524
UR  - https://arxiv.org/abs/2609.21524
AB  - In this article we claim that we are going to give a priori and a posteriori error estimates for a Crank Nicolson type scheme. The problem is discretized by the finite elements in space. The main result of this paper consists in establishing two types of error indicators, the first one linked to the time discretization and the second one to the space discretization.
ER  -