hp-fem group university of nevada, reno fem and hp-fem live presentation of the example...
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![Page 1: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/1.jpg)
Hermes and FEMhub Projects
hp-FEM groupUniversity of Nevada, Reno
http://hpfem.org
SciPy, Pasadena, August 20, 2009
hp-FEM group Hermes ad FEMhub Projects
![Page 2: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/2.jpg)
Core Team
Math:
Pavel Solin
Lenka Dubcova
Pavel Kus
CS:
David Andrs
Jakub Cerveny
Ivo Hanak
Phys:
Ondrej Certik
Sameer Regmi
Engrg:
Pavel Karban
Martin Mach
hp-FEM group Hermes ad FEMhub Projects
![Page 3: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/3.jpg)
PDE in medicine
Figure: Magnetic resonance imaging (MRI) – Maxwell’s equations.
hp-FEM group Hermes ad FEMhub Projects
![Page 4: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/4.jpg)
PDE in chemistry
Figure: Fullerene molecules C60 and C540 – Schrödinger equation.
hp-FEM group Hermes ad FEMhub Projects
![Page 5: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/5.jpg)
PDE in geophysics
Figure: Contact problems in geodynamics – viscoplastic flow.
hp-FEM group Hermes ad FEMhub Projects
![Page 6: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/6.jpg)
PDE in atmospheric sciences
Figure: Tornado (nonlinear PDE system based on Navier-Stokesequations).
hp-FEM group Hermes ad FEMhub Projects
![Page 7: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/7.jpg)
PDE in finance
Black-Scholes equation:
∂V∂t
+σ2
2S2 ∂
2V∂S2
+ rS∂V∂S
− rV = 0
S . . . price of underlying stock,V . . . option on S at time t , V = V (S, t).
hp-FEM group Hermes ad FEMhub Projects
![Page 8: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/8.jpg)
FEM and hp-FEM
Live presentation of the example “lshape" from Hermes2D examples suite.
hp-FEM group Hermes ad FEMhub Projects
![Page 9: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/9.jpg)
Flame propagation
hp-FEM group Hermes ad FEMhub Projects
![Page 10: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/10.jpg)
Microwave heating
hp-FEM group Hermes ad FEMhub Projects
![Page 11: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/11.jpg)
Thermally-conductive flow
hp-FEM group Hermes ad FEMhub Projects
![Page 12: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/12.jpg)
Hermes project
2004 – present.
Goals:Provide stable platform for development of adaptive hp-FEM solvers.
Disseminate adaptive hp-FEM to practitioners.
Unique features:All algorithms PDE-independent.
Adaptive hp-FEM for time-dependent problems.
Please visit http://hpfem.org/hermes/ !
hp-FEM group Hermes ad FEMhub Projects
![Page 13: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/13.jpg)
FEMhub project
Started in Spring 2009.
Goals:Provide open source distribution of FEM codes with unified Python interface.
Define model once, solve using various FEM codes.
Integrate open source FEM tools:mesh generatorsvisualizersweb notebook for remote computing. . .
Create certification procedure for open source FEM codes.
Please visit http://hpfem.org/femhub/ !
hp-FEM group Hermes ad FEMhub Projects
![Page 14: hp-FEM group University of Nevada, Reno FEM and hp-FEM Live presentation of the example “lshape" from Hermes2D examples suite. hp-FEM group Hermes ad FEMhub Projects. Flame propagation](https://reader034.vdocuments.site/reader034/viewer/2022051813/6033eb14c1b43965183d42f4/html5/thumbnails/14.jpg)
Thank you!
http://hpfem.org,http://femhub.org
hp-FEM group Hermes ad FEMhub Projects