Friday, 11:30 - 11:55 h, Room: H 0111


Mohamed Al Lawati
A rational characteristic method for advection diffusion equations


We present a characteristic method for the solution of the two-dimensional advection diffusion equations which uses Wachspress-type rational basis functions over polygonal discretizations of the spatial domain within the framework of the Eulerian-Lagrangian localized adjoint methods (ELLAM). The derived scheme maintains the advantages of previous ELLAM schemes and generates accurate numerical solutions even when large time steps are used in the simulation. Numerical experiments are presented to illustrate the performance of the method and to investigate its convergence numerically.


Talk 3 of the contributed session Fri.1.H 0111
"Optimal control of PDEs with advection terms" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]


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