الملخص
In this paper, we introduce a new method to analyze the convergence of the standard finite element method for elliptic variational inequalities with noncoercive operators (VI). The method consists of combining the so-called Bensoussan-Lions algorithm with the characterization of the solution, in both the continuous and discrete contexts, as fixed point of contraction. Optimal error estimates are then derived, first between the continuous algorithm and its finite element counterpart, and then between the true solution and the approximate solution.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol22iss2pp114-119
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 22(2), 114
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
APA 7
Boulbrachene, M. (2018). Finite Element Approximation of Variational Inequalities: An Algorithmic Approach. Sultan Qaboos University Journal for Science, 22(2), 114. https://doi.org/10.24200/squjs.vol22iss2pp114-119
MLA 9
Boulbrachene, Messaoud. "Finite Element Approximation of Variational Inequalities: An Algorithmic Approach." Sultan Qaboos University Journal for Science, vol. 22, no. 2, 2018, pp. 114. https://doi.org/10.24200/squjs.vol22iss2pp114-119.
شيكاغو (المؤلف–التاريخ)
Boulbrachene, Messaoud. 2018. "Finite Element Approximation of Variational Inequalities: An Algorithmic Approach." Sultan Qaboos University Journal for Science 22 (2): 114. https://doi.org/10.24200/squjs.vol22iss2pp114-119.
هارفارد
Boulbrachene, M. (2018) 'Finite Element Approximation of Variational Inequalities: An Algorithmic Approach', Sultan Qaboos University Journal for Science, 22(2), pp. 114. doi:10.24200/squjs.vol22iss2pp114-119.
فانكوفر
Boulbrachene M. Finite Element Approximation of Variational Inequalities: An Algorithmic Approach. Sultan Qaboos University Journal for Science. 2018;22(2):114. doi:10.24200/squjs.vol22iss2pp114-119
IEEE
M. Boulbrachene, "Finite Element Approximation of Variational Inequalities: An Algorithmic Approach," Sultan Qaboos University Journal for Science, vol. 22, no. 2, pp. 114, 2018, doi: 10.24200/squjs.vol22iss2pp114-119.