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Estimation of penalty parameters for symmetric interior penalty Galerkin methods. (English) Zbl 1141.65078
The numerical approximation of a linear elliptic problem by the discontinuous Galerkin method is considered. Computable lower bounds for the penalty parameters are presented.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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