Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity-Reference-Cited by-同舟云学术

Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity

Published:2018 Issue:1 Volume:4 Page:1-13
ISSN:2188-5303
Container-title:Journal of Advanced Simulation in Science and Engineering
language:en
Short-container-title:JASSE

Author:

Tabata Masahisa¹,Uchiumi Shinya²³

Affiliation:

1. Department of Mathematics, Waseda University

2. Graduate School of Fundamental Science and Engineering, Waseda University

3. Research Fellow of Japan Society for the Promotion of Science

Publisher

Japan Society for Simulation Technology

Subject

General Engineering

Link

https://www.jstage.jst.go.jp/article/jasse/4/1/4_1/_pdf

Reference17 articles.

1. [1] M. Tabata: Discrepancy between theory and real computation on the stability of somefinite element schemes, Journal of Computational and Applied Mathematics, 199:2 (2007), 424-431.

2. [2] M. Tabata, S. Fujima: Robustness of a characteristic finite element scheme of second order in time increment, in Computational Fluid Dynamics 2004, Toronto, 2006, 177-182.

3. [3] M. Tabata, S. Uchiumi: Agenuinely stable Lagrange-Galerkin scheme for convection-diffusion problems, Japan Journal of Industrial and Applied Mathematics, 33:1 (2016), 121-143.

4. [4] M. Tabata, S. Uchiumi: An exactly computable Lagrange-Galerkin scheme for the Navier-Stokes equations and its error estimates, to appear in Mathematics of Computation, 87:309 (2018), 39-67.

5. [5] K. Tanaka, A. Suzuki, M. Tabata: A characteristic finite element method using the exact integration, Annual Report of Research Institute for Information Technology Kyushu University, 2 (2002), 11-18 (in Japanese).