Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems
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 estim...
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2012
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| LEADER | 10947caa a22009497a 4500 | ||
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| 001 | PAPER-9207 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203906.0 | ||
| 008 | 190411s2012 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84866733890 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a NMPDE | ||
| 100 | 1 | |a Lombardi, A.L. | |
| 245 | 1 | 0 | |a Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems |
| 260 | |c 2012 | ||
| 270 | 1 | 0 | |m Lombardi, A.L.; Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, B1613GSX Provincia de Buenos Aires, Argentina; email: aldoc7@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Bassi, F., Rebay, S., Mariotti, G., Pedinotti, S., Savini, M., A high-order accurate discontinuous finite element method for inviscid and viscous turbomachinery flows (1997) Proceedings of 2nd European Conference on Turbomachinery, Fluid Dynamics and Thermodynamics, pp. 99-108. , R. Decuypere and G. Dibelius, editors, Technologisch Insitut, Antwerpen, Belgium | ||
| 504 | |a Brezzi, F., Manzini, M., Marini, L.D., Pietra, P., Russo, A., Discontinuous Galerkin approximation for elliptic problems (2000) Numer Meth Partial Diff Eq, 16, pp. 365-378 | ||
| 504 | |a Ayuso De Dios, B., Zikatanov, L., Uniformly convergent iterative methods for discontinuous Galerkin discretizations (2009) J Sci Comput, 40, pp. 4-36 | ||
| 504 | |a Ayuso De Dios, B., Brezzi, F., Havle, O., Marini, L.D., L 2 -estimates for the DG IIPG-0 scheme (2011) Numer Meth Partial Diff Eq, , June 15, [Epub ahead of print (DOI:10.1002/num.20687)] | ||
| 504 | |a Castillo, P., Cockburn, B., Perugia, I., Schotzau, D., An a priori error analysis of the local discontinuous Galerkin method for elliptic problems (2000) SIAM Journal on Numerical Analysis, 38 (5), pp. 1676-1706. , PII S0036142900371003 | ||
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| 504 | |a Castillo, P.E., (2001) Local Discontinuous Galerkin Methods for Convection-diffusion and Elliptic Problems, , PhD Thesis, University of Minnesota, Minneapolis | ||
| 504 | |a Brezzi, F., Manzini, M., Marini, L.D., Pietra, P., Russo, A., Discontinuous finite elements for diffusion problems (1999) Atti Convegno in Onore di F. Brioschi (Milan, 1997), Istituto Lombardo, pp. 197-217. , Accademia di Scienze e Lettere, Milan, Italy | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, B1613GSX Provincia de Buenos Aires, Argentina | ||
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina | ||
| 593 | |a Istituto di Matematica Applicata e Tecnologie Informatiche, CNR, Via Ferrata 1, I-27100 Pavia, Italy | ||
| 690 | 1 | 0 | |a ADVECTION-DIFFUSION EQUATIONS |
| 690 | 1 | 0 | |a DISCONTINUOUS GALERKIN METHODS |
| 690 | 1 | 0 | |a EXPONENTIALLY FITTED SCHEMES |
| 690 | 1 | 0 | |a ADVECTION DIFFUSION EQUATION |
| 690 | 1 | 0 | |a APPROXIMATION SPACES |
| 690 | 1 | 0 | |a DISCONTINUOUS GALERKIN |
| 690 | 1 | 0 | |a DISCONTINUOUS GALERKIN METHODS |
| 690 | 1 | 0 | |a ELLIPTIC PROBLEM |
| 690 | 1 | 0 | |a ERROR ESTIMATES |
| 690 | 1 | 0 | |a EXPONENTIALLY FITTED SCHEMES |
| 690 | 1 | 0 | |a NUMERICAL TESTS |
| 690 | 1 | 0 | |a SECOND ORDERS |
| 690 | 1 | 0 | |a SINGULARLY PERTURBED PROBLEM |
| 690 | 1 | 0 | |a ADVECTION |
| 690 | 1 | 0 | |a PERTURBATION TECHNIQUES |
| 690 | 1 | 0 | |a GALERKIN METHODS |
| 700 | 1 | |a Pietra, P. | |
| 773 | 0 | |d 2012 |g v. 28 |h pp. 1747-1777 |k n. 6 |p Numer Methods Partial Differential Equations |x 0749159X |t Numerical Methods for Partial Differential Equations | |
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| 856 | 4 | 0 | |u https://doi.org/10.1002/num.20701 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0749159X_v28_n6_p1747_Lombardi |y Handle |
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