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One-parameter discontinuous Galerkin finite element discretisation of quasilinear parabolic problems

Abstract:

We consider the analysis of a one-parameter family of $hp$--version discontinuous Galerkin finite element methods for the numerical solution of quasilinear parabolic equations of the form $u'-\na\cdot\set{a(x,t,\abs{\na u})\na u}=f(x,t,u)$ on a bounded open set $\om\in\re^d$, subject to mixed Dirichlet and Neumann boundary conditions on $\pr\om$. It is assumed that $a$ is a real--valued function which is Lipschitz-continuous and uniformly monotonic in its last argument, and $f$ is a real-valu...

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Andris Lasis More by this author
Endre Suli More by this author
Publication date:
2004-11-05
URN:
uuid:505acf88-8e96-4b77-911b-87e44d44de0c
Local pid:
oai:eprints.maths.ox.ac.uk:1159

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