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Abstract |
In this talk, we will describe our recent development and analysisof a discontinuous Galerkin (DG) method to solve weakly coupled hyperbolic multi-domain problems. Such problems involve transfer type boundary conditions with discontinuous fluxes between different domains, calling for special techniques to prove stability of the DG methods. We first prove both stability and error estimates for our DG methods on simple models, and then apply them to a biological cell proliferation model. Numerical results are provided to illustrate the good behavior of our DG methods. This is a joint work with QingyuanLiu and Mengping Zhang. |
