Publication:
Método LDG para la ecuación de difusión fraccionaria en 1D
Método LDG para la ecuación de difusión fraccionaria en 1D
Authors
Alvarez, Michael
Embargoed Until
Advisor
Castillo, Paul E.
College
College of Arts and Sciences - Sciences
Department
Department of Mathematics
Degree Level
M.S.
Publisher
Date
2018-01-24
Abstract
This thesis describes an implementation of the Local Discontinuous Galerkin
LDG method applied to a problem of fractional diffusion. The discrete formulation
of the associated system is discussed, with emphasis on the construction of the
fractional operator. A strategy is provided to add a term of stability in the primary
variable, unlike other implementations that stabilize the method by penalizing in
the auxiliary variable, in such a way that convergence order is obtained O (h p+1 ) for
polynomials of degree p. Additionally, numerical experiments are shown in which
little regularity is needed, on the part of the exact solution, to obtain optimum
convergence.
Keywords
method, ldg, fractional, diffusion, equation, 1D, metodo, fraccionario, difusion, ecuacion,
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Persistent URL
Cite
Alvarez, M. (2018). Método LDG para la ecuación de difusión fraccionaria en 1D [Thesis]. Retrieved from https://hdl.handle.net/20.500.11801/762