scholarly journals Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations

2008 ◽  
Vol 40 (1-3) ◽  
pp. 273-280 ◽  
Author(s):  
Johnny Guzmán ◽  
Béatrice Rivière
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Galerkin Methods ◽  
Optimal Convergence ◽  
Polynomial Approximations

scholarly journals Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods

2015 ◽  
Vol 8 (3) ◽  
pp. 425-450 ◽  
Author(s):  
Lutz Angermann ◽  
Christian Henke
Keyword(s):  
Tensor Product ◽  
Error Estimates ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Projection Operators ◽  
Galerkin Methods ◽  
Piecewise Polynomial ◽  
Polynomial Approximations ◽  
Hierarchical Bases ◽  
Projection Techniques

AbstractThe paper presents results on piecewise polynomial approximations of tensor product type in Sobolev-Slobodecki spaces by various interpolation and projection techniques, on error estimates for quadrature rules and projection operators based on hierarchical bases, and on inverse inequalities.

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