Modulef has been used for many years in the teaching of finite element methods, but also in serious computations in research laboratories. >From the web site: The following capabilities are available in the MODULEF library: Automatic generation and modification of two- and three-dimensional meshes. Specification of material characteristics or external forces by sub-domain or boundary section. Choice of type of finite element method, for example, conforming, non-conforming, hybrid, or mixed. For non-conforming methods the flow and stresses can be computed along with the temperature or displacement, or separately. The finite element library contains about 36 elements for thermal analysis and about 61 elements for elasticity for isotropic and anisotropic materials and 4 elements for magnetism and 2 elements for piezoelectric materials. Linear systems can be solved using direct or iterative methods. Solution methods for eigenproblems include inverse iteration, subspace iteration, Lanczos and QR methods. Solution of time-dependent thermal problems and dynamic problems; variational inequalities; Solution of the Dirichlet problem for a biharmonic operator by a mixed finite element method of order 1 or 2. Calculation of velocities and pressure of a viscous incompressible fluid (Navier-Stokes equations). Computation of homogenised coefficients of composite structures. Decomposition of domains. Several modules are available for the display of results, interactively or in batch, for example to plot two- or three-dimensional meshes, deformations, stresses, isovalues, velocities and streamlines in fluid mechanics, etc.

References in zbMATH (referenced in 19 articles , 1 standard article )

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  1. Picasso, Marco; Alauzet, Frédéric; Borouchaki, Houman; George, Paul-Louis: A numerical study of some Hessian recovery techniques on isotropic and anisotropic meshes (2011)
  2. Athanassoulis, G. A.; Belibassakis, K. A.; Mitsoudis, D. A.; Kampanis, N. A.; Dougalis, V. A.: Coupled mode and finite element approximations of underwater sound propagation problems in general stratified environments (2008)
  3. Benhamida, A.; Bouchelaghem, F.; Dumontet, H.: Effective properties of a cemented or an injected granular material (2005)
  4. Giacomoni, Catherine; Orenga, Pierre: On the two-dimensional compressible isentropic Navier-Stokes equations. (2002)
  5. Ranarivelo, Hantanirina: Numerical implementation of composite Koiter shells including membrane/bending coupling coefficients (2002)
  6. Kampanis, Nikolaos A.; Dougalis, Vassilios A.: A finite element code for the numerical solution of the Helmholtz equation in axially symmetric waveguides with interfaces (1999)
  7. Le Tallec, Patric; Vidrascu, Marina: Efficient solution of mechanical and biomechanical problems by domain decomposition (1999)
  8. Raous, M.: Quasistatic Signorini problem with Coulomb friction and coupling to adhesion (1999)
  9. Bernadou, Michel; Cubier, Annie: Numerical analysis of junctions between thin shells. II: Approximation by finite element methods (1998)
  10. Alvarez-Dios, J. A.; Le Tallec, P.; Vidrascu, M.: A domain decomposition method for linear and nonlinear elasticity problems and its implementation on KSR1 (1995)
  11. George, P. L.; Hecht, F.; Saltel, E.: Automatic mesh generator with specified boundary (1991)
  12. Aufranc, Martial: Numerical study of a junction between a three-dimensional elastic structure and a plate (1989)
  13. Bernadou, Michel; Fayolle, Séverine; Léné, Françoise: Numerical analysis of junctions between plates (1989)
  14. George, Paul L.: Introduction to the utilization of the scientific software MODULEF (1988)
  15. George, Paul Louis; Vidrascu, Marina: MODULEF: The ability of an opened finite element library to solve a real biomedical problem (1988)
  16. Tarzia, Domingo A.: An inequality for the constant heat flux to obtain a steady-state two- phase Stefan problem (1988)
  17. Bernadou, M.; Hassim, A.; Laug, P.; Steer, D.; Vidrascu, M.; Saltel, E.: Modulef: An open finite element library (1986)
  18. Bernadou, Michel (ed.): MODULEF. A modular library of finite elements (1986)
  19. Bernadou, M.; George, P. L.; Laug, P.; Vidrascu, M.: Some examples of practical problems solved by the finite element modular library: MODULEF (1985)