Abstract:
Let Ω⊂R2 be a polygonal domain, and let Li, i=1,2, be two elliptic operators of the form Liu(x):=−div(Aix∇u(x))+cixu(x)−fix.Motivated by the results in Blanc et al. (2016), we propose a numerical iterative method to compute the numerical approximation to the solution of the minimal problem minL1u,L2u=0in Ω,u=0on ∂Ω.The convergence of the method is proved, and numerical examples illustrating our results are included. © 2018 Elsevier B.V.
Registro:
Documento: |
Artículo
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Título: | Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems |
Autor: | Agnelli, J.P.; Kaufmann, U.; Rossi, J.D. |
Filiación: | FaMAF-CIEM, Universidad Nacional de Córdoba, Medina Allende s/n (5000) Córdoba, Argentina FaMAF, Universidad Nacional de Córdoba, Medina Allende s/n (5000) Córdoba, Argentina Dpto. de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pab 1 (1428), Buenos Aires, Argentina
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Palabras clave: | Maximal operators; Numerical approximations; Obstacle problems; Iterative methods; Elliptic operator; Minimal problems; Numerical approximations; Numerical iterative methods; Obstacle problems; Polygonal domain; Convergence of numerical methods |
Año: | 2018
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Volumen: | 342
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Página de inicio: | 133
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Página de fin: | 146
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DOI: |
http://dx.doi.org/10.1016/j.cam.2018.04.016 |
Título revista: | Journal of Computational and Applied Mathematics
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Título revista abreviado: | J. Comput. Appl. Math.
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ISSN: | 03770427
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770427_v342_n_p133_Agnelli |
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Citas:
---------- APA ----------
Agnelli, J.P., Kaufmann, U. & Rossi, J.D.
(2018)
. Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems. Journal of Computational and Applied Mathematics, 342, 133-146.
http://dx.doi.org/10.1016/j.cam.2018.04.016---------- CHICAGO ----------
Agnelli, J.P., Kaufmann, U., Rossi, J.D.
"Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems"
. Journal of Computational and Applied Mathematics 342
(2018) : 133-146.
http://dx.doi.org/10.1016/j.cam.2018.04.016---------- MLA ----------
Agnelli, J.P., Kaufmann, U., Rossi, J.D.
"Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems"
. Journal of Computational and Applied Mathematics, vol. 342, 2018, pp. 133-146.
http://dx.doi.org/10.1016/j.cam.2018.04.016---------- VANCOUVER ----------
Agnelli, J.P., Kaufmann, U., Rossi, J.D. Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems. J. Comput. Appl. Math. 2018;342:133-146.
http://dx.doi.org/10.1016/j.cam.2018.04.016