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

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

PDE in medicine

Figure: Magnetic resonance imaging (MRI) – Maxwell’s equations.

hp-FEM group Hermes ad FEMhub Projects

PDE in chemistry

Figure: Fullerene molecules C60 and C540 – Schrödinger equation.

hp-FEM group Hermes ad FEMhub Projects

PDE in geophysics

Figure: Contact problems in geodynamics – viscoplastic flow.

hp-FEM group Hermes ad FEMhub Projects

PDE in atmospheric sciences

Figure: Tornado (nonlinear PDE system based on Navier-Stokesequations).

hp-FEM group Hermes ad FEMhub Projects

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

FEM and hp-FEM

Live presentation of the example “lshape" from Hermes2D examples suite.

hp-FEM group Hermes ad FEMhub Projects

Flame propagation

hp-FEM group Hermes ad FEMhub Projects

Microwave heating

hp-FEM group Hermes ad FEMhub Projects

Thermally-conductive flow

hp-FEM group Hermes ad FEMhub Projects

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

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

Thank you!

http://hpfem.org,http://femhub.org

hp-FEM group Hermes ad FEMhub Projects