Abstract
We obtain a computable lower bound on the value of the interior penalty parameters sufficient for the existence of a unique discontinuous Galerkin finite element approximation of a second order elliptic problem. The bound obtained is valid for meshes containing an arbitrary number of hanging nodes and elements of arbitrary nonuniform polynomial order.
Original language | English |
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Pages (from-to) | 1099-1104 |
Number of pages | 6 |
Journal | Numerical Methods for Partial Differential Equations |
Volume | 28 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2012 |
Keywords
- approximation
- discontinuous Galerkin method
- finite element
- hanging nodes
- meshes
- error bounds
- advection-diffusion equations
- interior penalty method