الملخص
In this paper, we prove uniform convergence of the standard finite element method for a Schwarz alternating procedure for nonlinear elliptic partial differential equations in the context of linear subdomain problems and nonmatching grids. The method stands on the combination of the convergence of linear Schwarz sequences with standard finite element L-error estimate for linear problems.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol24iss2pp109-121
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 24(2), 109
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
APA 7
Boulbrachene, M. (2020). Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs. Sultan Qaboos University Journal for Science, 24(2), 109. https://doi.org/10.24200/squjs.vol24iss2pp109-121
MLA 9
Boulbrachene, Messaoud. "Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs." Sultan Qaboos University Journal for Science, vol. 24, no. 2, 2020, pp. 109. https://doi.org/10.24200/squjs.vol24iss2pp109-121.
شيكاغو (المؤلف–التاريخ)
Boulbrachene, Messaoud. 2020. "Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs." Sultan Qaboos University Journal for Science 24 (2): 109. https://doi.org/10.24200/squjs.vol24iss2pp109-121.
هارفارد
Boulbrachene, M. (2020) 'Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs', Sultan Qaboos University Journal for Science, 24(2), pp. 109. doi:10.24200/squjs.vol24iss2pp109-121.
فانكوفر
Boulbrachene M. Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs. Sultan Qaboos University Journal for Science. 2020;24(2):109. doi:10.24200/squjs.vol24iss2pp109-121
IEEE
M. Boulbrachene, "Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs," Sultan Qaboos University Journal for Science, vol. 24, no. 2, pp. 109, 2020, doi: 10.24200/squjs.vol24iss2pp109-121.