Mfree2D: an adaptive stress analysis package based on mesh-free technology. MFree2D is designed for 2D stress and strain analysis in solid mechanics and structural mechanics subjected to static and/or dynamic loadings with heat transfer process. The software consists of three major processors : MFreePre, MFreeApp and MFreePost. MFreePre is a preprocessor to formulate the input required by MFreeApp; the latter performs computations and yields the results which are then fed to MFreePost for post processing. These three processors can work either in an integrated manner or independently. One salient feature of MFree2D is that it is designed to be user-friendly and thus, has fewer requirements for users than many of the existing numerical packages. The first version of MFree2D, is for 2-D elastostatics and was demonstrated during the Fourth Asia Pacific Conference on Computational Mechanics (APCOM 1999). The main features of MFree2D include : Problem domain is discretised using scattered nodes and the discretisation is fully automatic. Adaptive refinement techniques are implemented to ensure the results are of a desired accuracy.User-friendly graphical-user-interface (GUI).

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  1. Jančič, Mitja; Slak, Jure; Kosec, Gregor: Monomial augmentation guidelines for RBF-FD from accuracy versus computational time perspective (2021)
  2. Mai-Duy, N.; Strunin, D.: New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils (2021)
  3. Mazhar, Farrukh; Javed, Ali; Xing, Jing Tang; Shahzad, Aamer; Mansoor, Mohtashim; Maqsood, Adnan; Shah, Syed Irtiza Ali; Asim, Kamran: On the meshfree particle methods for fluid-structure interaction problems (2021)
  4. Qiao, Haili; Cheng, Aijie: A fast finite difference/RBF meshless approach for time fractional convection-diffusion equation with non-smooth solution (2021)
  5. Chai, Yingbin; Gong, Zhixiong; Li, Wei; Zhang, Yongou: Analysis of transient wave propagation in inhomogeneous media using edge-based gradient smoothing technique and Bathe time integration method (2020)
  6. Chai, Yingbin; You, Xiangyu; Li, Wei: Dispersion reduction for the wave propagation problems using a coupled “FE-meshfree” triangular element (2020)
  7. de Souza Lourenço, Marcos Antonio; Martínez Padilla, Elie Luis: An octree structured finite volume based solver (2020)
  8. Hatič, Vanja; Mavrič, Boštjan; Šarler, Božidar: Simulation of macrosegregation in direct-chill casting -- a model based on meshless diffuse approximate method (2020)
  9. Havasi-Tóth, Balázs: Particle coalescing with angular momentum conservation in SPH simulations (2020)
  10. Jalušić, Boris; Jarak, Tomislav; Sorić, Jurica: Mixed meshless local Petrov-Galerkin (MLPG) collocation methods for gradient elasticity theories of Helmholtz type (2020)
  11. Jannesari, Zahra; Tatari, Mehdi: An adaptive strategy for solving convection dominated diffusion equation (2020)
  12. Liu, B.; Tan, D.: A Nitsche stabilized finite element method for embedded interfaces: application to fluid-structure interaction and rigid-body contact (2020)
  13. M., Aswathy; C. O., Arun: An improved response function based stochastic meshless method for problems in elasto-statics (2020)
  14. Milewski, Sławomir: A Matlab software for approximate solution of 2D elliptic problems by means of the meshless Monte Carlo random walk method (2020)
  15. Mountris, Konstantinos A.; Pueyo, Esther: The radial point interpolation mixed collocation method for the solution of transient diffusion problems (2020)
  16. Pu, Nana; Ji, Le; Ma, Wentao: A nesting cell-based smoothed radial point interpolation method with two-level smoothed strains for static, free and forced vibration analysis of solids (2020)
  17. Rohit, Gaurang R.; Prajapati, Jagdish M.; Patel, Vikram B.: Coupling of finite element and meshfree method for structure mechanics application: a review (2020)
  18. Saucedo-Zendejo, Felix R.; Reséndiz-Flores, Edgar O.: Meshfree numerical approach based on the finite pointset method for static linear elasticity problems (2020)
  19. Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan: Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations (2020)
  20. Aslefallah, Mohammad; Abbasbandy, Saeid; Shivanian, Elyas: Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method (2019)

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