An adaptive Wavelet-Galerkin method for parabolic partial differential equations

In this paper an Adaptive Wavelet-Galerkin method for the solution of parabolic partial differential equations modeling physical problems with different spatial and temporal scales is developed. A semi-implicit time difference scheme is applied and B-spline multiresolution structure on the interval...

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Autores principales: Vampa, Victoria Cristina, Martín, María Teresa
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Ciencias Exactas
Ingeniería
Matemática
B-spline
Multiresolution analysis
Wavelet-Galerkin
Adaptive
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100002
https://ri.conicet.gov.ar/11336/51519
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-100002
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Ingeniería
Matemática
B-spline
Multiresolution analysis
Wavelet-Galerkin
Adaptive
spellingShingle Ciencias Exactas
Ingeniería
Matemática
B-spline
Multiresolution analysis
Wavelet-Galerkin
Adaptive
Vampa, Victoria Cristina
Martín, María Teresa
An adaptive Wavelet-Galerkin method for parabolic partial differential equations
topic_facet Ciencias Exactas
Ingeniería
Matemática
B-spline
Multiresolution analysis
Wavelet-Galerkin
Adaptive
description In this paper an Adaptive Wavelet-Galerkin method for the solution of parabolic partial differential equations modeling physical problems with different spatial and temporal scales is developed. A semi-implicit time difference scheme is applied and B-spline multiresolution structure on the interval is used. As in many cases these solutions are known to present localized sharp gradients, local error estimators are designed and an efficient adaptive strategy to choose the appropriate scale for each time is developed. Finally, experiments were performed to illustrate the applicability and efficiency of the proposed method.
format Articulo
Articulo
author Vampa, Victoria Cristina
Martín, María Teresa
author_facet Vampa, Victoria Cristina
Martín, María Teresa
author_sort Vampa, Victoria Cristina
title An adaptive Wavelet-Galerkin method for parabolic partial differential equations
title_short An adaptive Wavelet-Galerkin method for parabolic partial differential equations
title_full An adaptive Wavelet-Galerkin method for parabolic partial differential equations
title_fullStr An adaptive Wavelet-Galerkin method for parabolic partial differential equations
title_full_unstemmed An adaptive Wavelet-Galerkin method for parabolic partial differential equations
title_sort adaptive wavelet-galerkin method for parabolic partial differential equations
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/100002
https://ri.conicet.gov.ar/11336/51519
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