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 assumptionsFile in questo prodotto:
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