We discuss the optimality in L 2 of a variant of the Incomplete Discontinuous Galerkin Interior Penalty method (IIPG) for second order linear elliptic problems. We prove optimal estimate, in two and three dimensions, for the lowest order case under suitable regularity assumptions on the data and on the mesh. We also provide numerical evidence, in one dimension, of the necessity of the regularity assumptions

Ayuso De Dios, B., Brezzi, F., Havle, O., Marini, L. (2012). L^2-estimates for the DG IIPG-0 scheme. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 28(5), 1440-1465 [10.1002/num.20687].

L^2-estimates for the DG IIPG-0 scheme

Ayuso De Dios, B;
2012

Abstract

We discuss the optimality in L 2 of a variant of the Incomplete Discontinuous Galerkin Interior Penalty method (IIPG) for second order linear elliptic problems. We prove optimal estimate, in two and three dimensions, for the lowest order case under suitable regularity assumptions on the data and on the mesh. We also provide numerical evidence, in one dimension, of the necessity of the regularity assumptions
Articolo in rivista - Articolo scientifico
crouziex-raviart finite element; non-symmetric methods; interior penalty methods; L2 error analysis; DISCONTINUOUS-GALERKIN.
English
2012
28
5
1440
1465
none
Ayuso De Dios, B., Brezzi, F., Havle, O., Marini, L. (2012). L^2-estimates for the DG IIPG-0 scheme. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 28(5), 1440-1465 [10.1002/num.20687].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/218215
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