Abstract:
New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect to the standard ones. The modifications in the choice of the approximation spaces and in the stabilization term do not spoil the error estimates. These methods are then used for designing new exponentially fitted schemes for advection dominated equations. The presented numerical tests show the good performances of the proposed schemes. © 2011 Wiley Periodicals, Inc.
Registro:
Documento: |
Artículo
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Título: | Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems |
Autor: | Lombardi, A.L.; Pietra, P. |
Filiación: | Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, B1613GSX Provincia de Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Istituto di Matematica Applicata e Tecnologie Informatiche, CNR, Via Ferrata 1, I-27100 Pavia, Italy
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Palabras clave: | advection-diffusion equations; discontinuous Galerkin methods; exponentially fitted schemes; Advection diffusion equation; Approximation spaces; Discontinuous galerkin; Discontinuous Galerkin methods; Elliptic problem; Error estimates; exponentially fitted schemes; Numerical tests; Second orders; Singularly perturbed problem; Advection; Perturbation techniques; Galerkin methods |
Año: | 2012
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Volumen: | 28
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Número: | 6
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Página de inicio: | 1747
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Página de fin: | 1777
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DOI: |
http://dx.doi.org/10.1002/num.20701 |
Título revista: | Numerical Methods for Partial Differential Equations
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Título revista abreviado: | Numer Methods Partial Differential Equations
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ISSN: | 0749159X
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CODEN: | NMPDE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0749159X_v28_n6_p1747_Lombardi |
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Citas:
---------- APA ----------
Lombardi, A.L. & Pietra, P.
(2012)
. Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems. Numerical Methods for Partial Differential Equations, 28(6), 1747-1777.
http://dx.doi.org/10.1002/num.20701---------- CHICAGO ----------
Lombardi, A.L., Pietra, P.
"Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems"
. Numerical Methods for Partial Differential Equations 28, no. 6
(2012) : 1747-1777.
http://dx.doi.org/10.1002/num.20701---------- MLA ----------
Lombardi, A.L., Pietra, P.
"Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems"
. Numerical Methods for Partial Differential Equations, vol. 28, no. 6, 2012, pp. 1747-1777.
http://dx.doi.org/10.1002/num.20701---------- VANCOUVER ----------
Lombardi, A.L., Pietra, P. Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems. Numer Methods Partial Differential Equations. 2012;28(6):1747-1777.
http://dx.doi.org/10.1002/num.20701