Modulef

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 39 articles , 1 standard article )

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  1. Kirby, Robert C.: A general approach to transforming finite elements (2018)
  2. Picasso, Marco; Alauzet, Frédéric; Borouchaki, Houman; George, Paul-Louis: A numerical study of some Hessian recovery techniques on isotropic and anisotropic meshes (2011)
  3. Martin, E.; Leguillon, D.; Carrère, N.: A twofold strength and toughness criterion for the onset of free-edge shear delamination in angle-ply laminates (2010)
  4. 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)
  5. Martin, E.; Poitou, B.; Leguillon, D.; Gatt, J. M.: Competition between deflection and penetration at an interface in the vicinity of a main crack (2008)
  6. Picasso, Marco; Rappaz, Jacques; Rezzonico, Vittoria: Multiscale algorithm with patches of finite elements (2008)
  7. Benhamida, A.; Bouchelaghem, F.; Dumontet, H.: Effective properties of a cemented or an injected granular material (2005)
  8. Abboud, T.; Salaün, M.; Salmon, S.: Coupling harmonic functions-finite elements for solving the stream function-vorticity Stokes problem (2004)
  9. Bernadou, Michel; Haenel, Christophe: Modelization and numerical approximation of piezoelectric thin shells. III: From the patches to the active structures. (2003)
  10. Bernadou, Michel; Haenel, Christophe: Modelization and numerical approximation of piezoelectric thin shells. II: Approximation by finite element methods and numerical experiments. (2003)
  11. Moussaoui, Farid: A unified approach for inviscid compressible and nearly incompressible flow by least-squares finite element method (2003)
  12. Giacomoni, Catherine; Orenga, Pierre: On the two-dimensional compressible isentropic Navier-Stokes equations. (2002)
  13. Ranarivelo, Hantanirina: Numerical implementation of composite Koiter shells including membrane/bending coupling coefficients (2002)
  14. Alduncin, Gonzalo; Esquivel-Avila, Jorge: Steady filtration with seawater intrusion: Penalized finite element approximations (2000)
  15. Aoubiza, B.; Taghite, M’Barek; Lanchon-Ducauquis, H.: On the computation of the thermoelastic characteristics of a perforated plate of a heat exchanger (2000)
  16. Dymnikov, V.; Kazantsev, Ch.; Kazantsev, E.: On the ”genetic memory” of chaotic attractor of the barotropic ocean model (2000)
  17. 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)
  18. Kazantsev, E.: Local Lyapunov exponents of the quasi-geostrophic ocean dynamics (1999)
  19. Le Tallec, Patric; Vidrascu, Marina: Efficient solution of mechanical and biomechanical problems by domain decomposition (1999)
  20. Raous, M.: Quasistatic Signorini problem with Coulomb friction and coupling to adhesion (1999)

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