@inproceedings{4c4cce3fe40d4975bf1b9ca24065487b,
title = "Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method",
abstract = "The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement. We consider Enhanced Velocity Mixed Finite Element Method (EVMFEM) for the incompressible Darcy flow. In this paper, our aim is to study the improvement of velocity at interface to achieve the better approximation of velocity between subdomains. We propose the reconstruction of velocity at interface by using the post-processed pressure. Numerical results at the interface show improvement on convergence rate.",
keywords = "Domain decomposition, Enhanced Velocity, Velocity improvement",
author = "Yerlan Amanbek and Gurpreet Singh and Wheeler, \{Mary F.\}",
note = "Funding Information: Acknowledgments. First author would like to thank Drs. I. Yotov and T. Arbo-gast for discussions on formulation of the different view of EVMFEM. This research is supported by Faculty Development Competitive Research Grant (Grant No. 110119FD4502), Nazarbayev University. Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.; 19th International Conference on Computational Science, ICCS 2019 ; Conference date: 12-06-2019 Through 14-06-2019",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-22747-0\_38",
language = "English",
isbn = "9783030227463",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "510--523",
editor = "Rodrigues, \{Jo{\~a}o M.F.\} and Cardoso, \{Pedro J.S.\} and J{\^a}nio Monteiro and Roberto Lam and Krzhizhanovskaya, \{Valeria V.\} and Lees, \{Michael H.\} and Sloot, \{Peter M.A.\} and Dongarra, \{Jack J.\}",
booktitle = "Computational Science – ICCS 2019 - 19th International Conference, Proceedings",
address = "Germany",
}