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http://hdl.handle.net/10397/93873
Title: | Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions | Authors: | Cai, W Li, B Li, Y |
Issue Date: | 2021 | Source: | ESAIM : mathematical modelling and numerical analysis (ESAIM: M2AN), 2021, v. 55, p. S103-S147 | Abstract: | An error estimate is presented for a fully discrete, linearized and stabilized finite element method for solving the coupled system of nonlinear hyperbolic and parabolic equations describing incompressible flow with variable density in a two-dimensional convex polygon. In particular, the error of the numerical solution is split into the temporal and spatial components, separately. The temporal error is estimated by applying discrete maximal Lp-regularity of time-dependent Stokes equations, and the spatial error is estimated by using energy techniques based on the uniform regularity of the solutions given by semi-discretization in time. | Keywords: | Convergence Finite element Maximal Lp-regularity Navier-Stokes Variable density |
Publisher: | EDP Sciences | Journal: | ESAIM : mathematical modelling and numerical analysis (ESAIM: M2AN) | ISSN: | 0764-583X | EISSN: | 1290-3841 | DOI: | 10.1051/m2an/2020029 | Rights: | © EDP Sciences, SMAI 2021 The original publication is available at https://www.esaim-cocv.org/. The following publication Cai, W., Li, B., & Li, Y. (2021). Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions. ESAIM: Mathematical Modelling and Numerical Analysis, 55, S103-S147 is available at https://doi.org/10.1051/m2an/2020029 |
Appears in Collections: | Journal/Magazine Article |
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