Optimal Error Estimates for the hp–Version Interior Penalty Discontinuous Galerkin Finite Element Method

We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) for second-order linear reaction-diffusion equations. To the best of our knowledge, the sharpest known error bounds for the hp-DGFEM are due to Riviere, Wheeler and Girault [9] and due to Houston, Sch...

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Bibliographic Details
Main Authors: Georgoulis, E, Suli, E
Format: Report
Published: Unspecified 2003