[Todos CMAT] Seminario de EDPs y Afines (IMERL) - Jean Rodolphe Roche (Université de Lorraine)

[seminarios en cmat.edu.uy]

Seminario de EDPs y Afines (IMERL)
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Título: "Numerical approximation of the non-negative solution of a type of elliptic or parabolic semi-linear equations"

Expositor: Jean Rodolphe Roche (Université de Lorraine)

Resumen:
 
The aim of this paper is to present a numerical method for calculating an
approximation to the non-negative solution a type of semi-linear elliptic and
parabolic equations. First is introduce d a theoretical result about existence
of a positive solution in the elliptic case. Then a numerical algorithm using
Newton’s method and domain decomposition method is developed following the
theoretical analysis.

Then we applied the same technic to compute a positive solution of semi linear
parabolic equations

In the case of the blows-up of the solution, we will give an estimate of the
maximum time of existence of the numerical solution. This estimate is a precise
approximation of the maximal time existence of the analytical solution. We have
also adapted the waveform algorithm to the problem considered. In all cases, the
simulations converge, illustrating the performance of the algorithms studied and
the consistency of the results with the theory.
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Viernes 27/10 a las 12:30, Salón 101 IMERL

Contacto: Juan Pablo Borthagaray - jpborthagaray en fing.edu.uy
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En caso de que alguien manifieste interés en que el seminario se transmita por
Zoom, esto se hará a través del enlace

https://salavirtual-
udelar.zoom.us/j/2913420564?pwd=T3JMbk82VEZQaWZMeUg4UWtHRGdYdz09
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