Numerical solution of semi-linear advection-diffusion-reaction equations by discontinuous galerkin methods

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2016
Yıldız, Süleyman
IIn this thesis, we study splitting methods for semi-linear advection-diffusion-reaction (ADR) equations which are discretized by the symmetric interior penalty Galerkin (SIPG) method in space. For the time integration Rosenbrock methods are used with Strang splitting. The linear system of equations are solved iteratively by preconditioned generalized minimum residual method (GMRES). Numerical experiments for ADR equations with different type nonlinearities demonstrate the effectiveness of the proposed approach.

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Citation Formats
S. Yıldız, “Numerical solution of semi-linear advection-diffusion-reaction equations by discontinuous galerkin methods,” M.S. - Master of Science, Middle East Technical University, 2016.