Twogrid hpversion discontinuous Galerkin finite element methods for quasilinear PDEsTools Congreve, Scott (2014) Twogrid hpversion discontinuous Galerkin finite element methods for quasilinear PDEs. PhD thesis, University of Nottingham.
AbstractIn this thesis we study socalled twogrid hpversion discontinuous Galerkin finite element methods for the numerical solution of quasilinear partial differential equations. The twogrid method is constructed by first solving the nonlinear system of equations stemming from the discontinuous Galerkin finite element method on a coarse mesh partition; then, this coarse solution is used to linearise the underlying problem so that only a linear system is solved on a finer mesh. Solving the complex nonlinear problem on a coarse enough mesh should reduce computational complexity without adversely affecting the numerical error.
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