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 for the numerical solution of quasilinear elliptic equations in divergence-form in a bounded Lipschitz domain. Using Brouwer's Fixed Point Theorem, we show existence and uniqueness of the solution. In...
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| Format: | Report |
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Unspecified
2004
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Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case
Published 2005
Journal article