Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case

We develop a one-parameter family of hp-version discontinuous Galerkin finite element methods, parameterised by θ ∈ [-1, 1], for the numerical solution of quasilinear elliptic equations in divergence form on a bounded open set Ω ⊂ Rd, d ≥ 2. In particular, we consider the analysis of the family for...

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Bibliographic Details
Main Authors: Houston, P, Robson, J, Suli, E
Format: Journal article
Language:English
Published: 2005