Filipa Caetano

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We introduce nonoverlapping domain decomposition algorithms of Schwarz waveform relaxation type for the semilinear reaction-diffusion equation. We define linear Robin and second order (or Ventcell) transmission conditions between the subdomains, which we prove to lead to a well defined and converging algorithm. We also propose nonlinear transmission(More)
In this paper, we apply a Schwarz waveform relaxation method to a two-species reactive transport system. By Fourier analysis we find optimal coupling conditions that result in pseudo-differential operators. We approximate these operators by differential operators and give an upper bound for the convergence rate. By this technique a best approximation(More)
Aortic blood pressure is a strong indicator to cardiovascular diseases and morbidity. Clinically, pressure measurements are done by inserting a catheter in the aorta. However, imaging techniques have been used to avoid the invasive procedure of catheterization. In this paper, we combined MRI measurements to a one-dimensional model in order to simulate blood(More)
1 Univ. Paris-Sud, Département de Mathématiques; CNRS, F-91405 Orsay, filipa.caetano@math.u-psud.fr 2 Section de Mathématiques, Université de Genève, CP 64, 1211 Genève, Switzerland, martin.gander@math.unige.ch 3 Université Paris 13, CNRS, UMR 7539 LAGA, 99 av. Jean-Baptiste Clément, F-93430 Villetaneuse, France, halpern@math.univ-paris13.fr 4 DMA, Ecole(More)
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