@Article{IJNAM-12-4,
author = {},
title = {Analysis of a Second-Order, Unconditionally Stable, Partitioned Method  for the Evolutionary Stokes-Darcy Model},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {4},
pages = {704--730},
abstract = {<p style="text-align: justify;">We propose and analyze a partitioned numerical method for the fully evolutionary
Stokes-Darcy equations that model the coupling between surface and groundwater flows. The
proposed method uncouples the surface from the groundwater flow by using the implicit-explicit
combination of the Crank-Nicolson and Leapfrog methods for the discretization in time with
added stabilization terms. We prove that the method is asymptotically, unconditionally stable — requiring no time step condition — and second-order accurate in time with optimal rates in space.
We verify the method&#39;s unconditional stability and second-order accuracy numerically.</p>},
issn = {2617-8710},
doi = {https://doi.org/2015-IJNAM-508},
url = {https://global-sci.com/article/83313/analysis-of-a-second-order-unconditionally-stable-partitioned-method-for-the-evolutionary-stokes-darcy-model}
}