Contents of the Mefisto software


Version Française




[*] What is Mefisto?
Mefisto is an OpenSource Software downloadable at
https://www.ljll.math.upmc.fr/perronnet/mefistoa.charger.php
which can solve some Partial Differential Equations
by Finite Element methods on 1d or 2d or 3d objects or a 6d-cube.


[*] What problems can be solved with Mefisto?
From MEFISTO-INITIER & MEFISTO-MESHER:
- The creation of 1d or 2d or 3d meshes from POINTS, LINES, SURFACES, VOLUMES;
- The construction of an OBJECT with an ISOPARAMETRIC LAGRANGE INTERPOLATION from polynomials of degree 1 or 2 (the middle point of edges are added for each finite element (FE)
- The Mefisto METHODOLOGY to CONSTRUCT OBJECT MESHES

From MEFISTO-HEATER, computation of the
- The STEADY HEAT TRANSFER EQUATIONS
- The UNSTEADY HEAT TRANSFER EQUATIONS
- The smallest EIGENVALUES and EIGENVECTORS for the - div ( grad . ) OPERATOR
- The 2d WAVE equations

From MEFISTO-ELASTICER, computation of the
- The STEADY THERMO-ELASTICITY equations
- The UNSTEADY ELASTICITY equations
- The smallest EIGENVALUES for the ELASTICITY OPERATOR

From MEFISTO-FLUIDER, computation of the
- The STEADY STOKES equations
- The UNSTEADY STOKES equations
- The STEADY NAVIER-STOKES equations
- The UNSTEADY NAVIER-STOKES equations
for a 2d or 3d incompressible flow by Taylor-Hood or Brezzi-Fortin finite elements, solved by a Crout's factorization of the global matrix assembled in a skyline storage.

From MEFISTO-NLSER, computation of the
- The Non-Linear SCHRODINGER Equation (NLSE) in 2d or 3d by Lagrange finite elements, solved by an implicit or semi-implicit step time EULER integration.

Remark: AXI-SYMMETRIC HEAT and ELASTICITY SOLVERS are also AVAILABLE in Mefisto.


[*] How to use Mefisto?
The execution of these modules is users' friendly by the using of menus, mouse and drawings of numerical results on the display or in a PostScript file.

[*] How to program finite element methods with Mefisto?
[*] How to install Mefisto?
The Mefisto software is available on UNIX system, or MAC system 10, or MICROSOFT system under CYGWIN.
The Mefisto load-modules or the sources may be downloaded here https://www.ljll.math.upmc.fr/perronnet/mefistoa.charger.php


[*] The authors of Mefisto:
The software has been written at Laboratoire Jacques-Louis Lions of the Université Pierre et Marie CURIE at Paris, France.
This software, based on Finite element methods to solve Partial Differential Equations, has been conceived, written and is managed by Alain PERRONNET.
Many options to construct meshes, to solve linear systems, sub-domains have been written by Pascal JOLY.
The algebraic elliptic quadrangle or hexahedron meshers and a PostScript drawer have been written by Christophe DOURSAT.
Several students have developed options.



Page written by Alain Perronnet
Last update: August 23, 2016