Translator Disclaimer
2012 Multiscale adaptively weighted least squares finite element methods for convection-dominated PDEs
Bridget Kraynik, Yifei Sun, Chad Westphal
Involve 5(1): 39-49 (2012). DOI: 10.2140/involve.2012.5.39

Abstract

We consider a weighted least squares finite element approach to solving convection-dominated elliptic partial differential equations, which are difficult to approximate numerically due to the formation of boundary layers. The new approach uses adaptive mesh refinement in conjunction with an iterative process that adaptively adjusts the least squares functional norm. Numerical results show improved convergence of our strategy over a standard nonweighted approach. We also apply our strategy to the steady Navier–Stokes equations.

Citation

Download Citation

Bridget Kraynik. Yifei Sun. Chad Westphal. "Multiscale adaptively weighted least squares finite element methods for convection-dominated PDEs." Involve 5 (1) 39 - 49, 2012. https://doi.org/10.2140/involve.2012.5.39

Information

Received: 20 December 2010; Accepted: 4 September 2011; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1248.65123
MathSciNet: MR2924312
Digital Object Identifier: 10.2140/involve.2012.5.39

Subjects:
Primary: 35J57, 65N30, 65N50

Rights: Copyright © 2012 Mathematical Sciences Publishers

JOURNAL ARTICLE
11 PAGES


SHARE
Vol.5 • No. 1 • 2012
MSP
Back to Top