The modelling error in multi-dimensional time-dependent solute transport models

Authors: Masri, Rami, Zeinhofer, Marius, Kuchta, Miroslav, Rognes, Marie E.

Source: arXiv

Subject Terms: Physiological flow, 0301 basic medicine, Smoothness and regularity of solutions to PDEs, Flows in porous media, filtration, seepage, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, Physiological flows, A priori estimates in context of PDEs, modeling error in evolving Bochner spaces, Diffusion, solute transport models, Second-order elliptic equations, 03 medical and health sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, Mathematics - Analysis of PDEs, 0302 clinical medicine, 35K45, 65G99, 65J08, 65M15, 92-10, FOS: Mathematics, time dependent convection-diffusion, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, multi-dimensional modeling, Mathematics - Numerical Analysis, Computational methods for problems pertaining to biology, Finite element methods applied to problems in fluid mechanics, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2303.17999
https://zbmath.org/7957223
https://doi.org/10.1051/m2an/2024060