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Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems

Lombardi, Ariel Luis et al · John Wiley & Sons · 2012

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Author / responsible party
Lombardi, Ariel Luis et al
Publisher
John Wiley & Sons
Year
2012
ISSN
1747-1777
ISSN
1747-1777
Language
English

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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. Fil: Lombardi, Ariel Luis. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Pietra, Paola. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia

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APA 7

Lombardi, A. L. E. A. (2012). Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems. http://hdl.handle.net/11336/189469

MLA

Lombardi, Ariel Luis et al. "Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems." 2012. http://hdl.handle.net/11336/189469.

Chicago

Lombardi, Ariel Luis et al. 2012. "Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems.". http://hdl.handle.net/11336/189469.

Harvard

Lombardi, A. L. E. A. 2012, Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems, John Wiley & Sons, available at: http://hdl.handle.net/11336/189469 [Accessed 8 Aug. 2026].

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Title
Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
Author / contributors
Lombardi, Ariel Luis et al
Publisher
John Wiley & Sons
Publication year
2012
ISSN
1747-1777
ISSN
1747-1777
Language
English

Subjects

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ADVECTION-DIFFUSION EQUATIONS; DISCONTINUOUS GALERKIN METHODS; EXPONENTIALLY FITTED SCHEMES; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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