Errors analysis for two methods approximating the classical Caginalp’s model

MOROȘANU, Costică

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dc.contributor.author	MOROȘANU, Costică
dc.date.accessioned	2020-11-03T10:23:56Z
dc.date.available	2020-11-03T10:23:56Z
dc.date.issued	2018
dc.identifier.citation	MOROȘANU, Costică. Errors analysis for two methods approximating the classical Caginalp’s model. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, p. 19-20.	en_US
dc.identifier.uri	http://repository.utm.md/handle/5014/11021
dc.description	Only Abstract	en_US
dc.description.abstract	The paper concerns with the error analysis of two time-stepping schemes used in the discretization of the phase-field transition system with a classical regular potential (Caginalp’s model) and Neumann boundary conditions. Using energy methods, we establish L∞ error estimates for the implicit Euler and a fractional steps method. A numerical experiment validates the theoretical results, comparing the accuracy of the methods.	en_US
dc.language.iso	en	en_US
dc.publisher	Bons Offices	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	thermodynamics	en_US
dc.subject	nonlinear partial differential equations of parabolic type	en_US
dc.subject	reaction-diffusion equations	en_US
dc.subject	finite difference methods	en_US
dc.subject	fractional steps method	en_US
dc.subject	Caginalp’s model	en_US
dc.subject	Neumann boundary conditions	en_US
dc.subject	phase-changes	en_US
dc.subject	numerical algorithms	en_US
dc.title	Errors analysis for two methods approximating the classical Caginalp’s model	en_US
dc.type	Article	en_US