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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
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
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
Volumen:342
Página de inicio:133
Página de fin:146
DOI: http://dx.doi.org/10.1016/j.cam.2018.04.016
Título revista:Journal of Computational and Applied Mathematics
Título revista abreviado:J. Comput. Appl. Math.
ISSN:03770427
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