Article
Generalized Schwarz algorithm for a class of variational inequalities
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Abstract
We consider a decomposition tom-subdomains of the obstacle problem, which is modeled by a variational inequality of first species, using the auxiliary sequences, and we have proving a alternating relation between the solutions on each subdomains. We also proving a geommetrical convergence between the nth iteration and the solution of the initial problem, and we obtained a result on the error estimate contains a logarithmic factor with an extra power of|log(h)|.
Keywords
Variational inequalities, Schwarz algorithm, finite element method, L∞ error estimate.
Citation
Bouzoualegh, I. & Saadi, S. (2020). Generalized schwarz algorithm for a class of variational inequalities. Numerical and Computational Methods in Sciences and Engineering, 2(2), 61–71. https://doi.org/10.18576/ncmse/020204
I. Bouzoualegh and S. Saadi, “Generalized schwarz algorithm for a class of variational inequalities,” Numerical and Computational Methods in Sciences and Engineering, vol. 2, no. 2, pp. 61–71, 2020, doi: 10.18576/ncmse/020204.
Bouzoualegh I, Saadi S. Generalized schwarz algorithm for a class of variational inequalities. Numerical and Computational Methods in Sciences and Engineering. 2020;2(2):61–71. doi:10.18576/ncmse/020204.
Bouzoualegh, I. and Saadi, S. (2020), ‘Generalized schwarz algorithm for a class of variational inequalities’, Numerical and Computational Methods in Sciences and Engineering, 2(2), pp. 61–71. Available at: https://doi.org/10.18576/ncmse/020204.
Bouzoualegh, Ikram, and Samira Saadi. “Generalized Schwarz Algorithm for a Class of Variational Inequalities.” Numerical and Computational Methods in Sciences and Engineering, vol. 2, no. 2, 2020, pp. 61–71. https://doi.org/10.18576/ncmse/020204.
Bouzoualegh, Ikram, and Samira Saadi. “Generalized Schwarz Algorithm for a Class of Variational Inequalities.” Numerical and Computational Methods in Sciences and Engineering 2, no. 2 (2020): 61–71. https://doi.org/10.18576/ncmse/020204.
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Published by: Engineering Journals
