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Wavelet based approach for singular perturbation

| Odborný seminář KO-MIX

Václav Finěk a Dana Černá
Pondělí 17. března 2014, 14:20 hodin
Didaktický kabinet KMD (4. patro budovy H areálu TUL, Voroněžská 1329/13, Liberec 1, č. dv. 5027)
[Pozvánka v PDF]

Anotace

In our talk, we study the one dimensional version of the convection diffusion equation with constant coefficients and with Dirichlet boundary conditions. We discretize it by wavelets proposed by T. J. Dijkema and R. Stevenson which are well conditioned and provide very sparse representation of differential operators with constant coefficients. One can observe that condition numbers of arising stiffness matrices are growing with growing Peclet number and when an unsymmetric part starts to dominate. We propose here preconditioning for such types of problems.