Details

Autor(en) / Beteiligte

• Rupp, Andreas
• Knabner, Peter

Titel

Convergence order estimates of the local discontinuous Galerkin method for instationary Darcy flow

Ist Teil von

• Numerical methods for partial differential equations, 2017-07, Vol.33 (4), p.1374-1394

Ort / Verlag

New York: Wiley Subscription Services, Inc

Erscheinungsjahr

2017

Quelle

Wiley Online Library

Beschreibungen/Notizen

• We present a new a priori stability and convergence analysis for the local discontinuous Galerkin method applied to the instationary Darcy problem formulated on a d‐dimensional polytope with nonhomogeneous Neumann and Dirichlet boundary conditions. In addition to including a spatially and temporally varying permeability tensor into all estimates, the utilized analysis technique produces a convergence order result for the primary and the flux variables. The only stabilization in the proposed scheme is represented by a penalty term in the primary unknown, and our analysis provides some insights into the role played by this particular choice of stabilization. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1374–1394, 2017