Abstract
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.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol24iss2pp109-121
- Journal
- Sultan Qaboos University Journal for Science, 24(2), 109
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
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.
Chicago (author–date)
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.
Harvard
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.
Vancouver
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.