Loading...
Loading...

Go to the content (press return)

Maximum-principle preserving space–time isogeometric analysis

Author
Bonilla, J.; Badia, S.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2019-09
Volume
354
First page
422
Last page
440
DOI
10.1016/j.cma.2019.05.042
Repository
http://hdl.handle.net/2117/134634 Open in new window
https://arxiv.org/abs/1812.05442 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0045782519303123 Open in new window
Abstract
In this work we propose a nonlinear stabilization technique for convection–diffusion–reaction and pure transport problems discretized with space–time isogeometric analysis. The stabilization is based on a graph-theoretic artificial diffusion operator and a novel shock detector for isogeometric analysis. Stabilization in time and space directions are performed similarly, which allow us to use high-order discretizations in time without any CFL-like condition. The method is proven to yield so...
Citation
Bonilla, J.; Badia, S. Maximum-principle preserving space–time isogeometric analysis. "Computer methods in applied mechanics and engineering", Setembre 2019, vol. 354, p. 422-440.
Keywords
Discrete maximum principle, High-order, Isogeometric analysis, Monotonicity, Space–time
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants