Continuous data assimilation for displacement in a porous medium
نویسندگان
چکیده
In this paper we propose the use of a continuous data assimilation algorithm for miscible flow models in porous medium. absence initial conditions model, observed sparse measurements are used to generate an approximation true solution. Under certain assumption and their incorporation into it can be shown that resulting approximate solution converges at exponential rate as time progresses. Various numerical examples considered order validate suitability algorithm.
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2022
ISSN: ['0945-3245', '0029-599X']
DOI: https://doi.org/10.1007/s00211-022-01306-y