AFEM@matlab is a MATLAB package of adaptive finite element methods (AFEMs) for stationary and evolution partial differential equations in two spatial dimensions. It contains robust, efficient, and easy-following codes for the main building blocks of AFEMs. This will benefit not only the education of the methods but also future research and algorithmic development. Our package can be useful for education, communication, and research. More precisely, it will (1) speed up program development; (2) facilitate comparisons of ideas and results; (3) improve academic publications. We summarize and emphasis the main features of our package as the following: It includes newest development of AFEMs. It is concise and easy to follow. It can be easily modified for other problems and languages.

References in zbMATH (referenced in 23 articles )

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  1. Abdulle, Assyr; Budáč, Ondrej: A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media (2017)
  2. Apel, Thomas; Nicaise, Serge; Pfefferer, Johannes: Adapted numerical methods for the Poisson equation with $L^2$ boundary data in nonconvex domains (2017)
  3. Godinho, L.; Soares, Delfim jun.: Numerical simulation of soil-structure elastodynamic interaction using iterative-adaptive BEM-FEM coupled strategies (2017)
  4. Soares, Delfim; Godinho, L.: Heat conduction analysis by adaptive iterative BEM-FEM coupling procedures (2016)
  5. Zeng, Yuping; Chen, Jinru; Wang, Feng: A posteriori error estimates of a weakly over-penalized symmetric interior penalty method for elliptic eigenvalue problems (2015)
  6. Abdulle, Assyr; Bai, Yun: Adaptive reduced basis finite element heterogeneous multiscale method (2013)
  7. Hintermüller, M.; Hinze, M.; Kahle, C.: An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system (2013)
  8. Le, Canh V.: A stabilized discrete shear gap finite element for adaptive limit analysis of Mindlin-Reissner plates (2013)
  9. Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T.: An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order (2013)
  10. Apel, Thomas; Flaig, Thomas G.: Crank--Nicolson schemes for optimal control problems with evolution equations (2012)
  11. Klein, Viviane; Peszynska, Malgorzata: Adaptive double-diffusion model and comparison to a highly heterogeneous micro-model (2012)
  12. Wang, Feng; Xu, Xuejun: Some new residual-based a posteriori error estimators for the mortar finite element methods (2012)
  13. Abdulle, A.; Nonnenmacher, A.: Adaptive finite element heterogeneous multiscale method for homogenization problems (2011)
  14. Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H.: Preconditioning a class of fourth order problems by operator splitting (2011)
  15. Hu, Xiaozhe; Cheng, Xiaoliang: Acceleration of a two-grid method for eigenvalue problems (2011)
  16. Liu, Jiangguo; Mu, Lin; Ye, Xiu: An adaptive discontinuous finite volume method for elliptic problems (2011)
  17. Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C.: Adaptive analysis using the node-based smoothed finite element method (NS-FEM) (2011)
  18. Stamm, Benjamin: A posteriori estimates for the bubble stabilized discontinuous Galerkin method (2011)
  19. Chen, Long; Zhang, Chensong: A coarsening algorithm on adaptive grids by newest vertex bisection and its applications (2010)
  20. Abdulle, Assyr; Nonnenmacher, Achim: A posteriori error analysis of the heterogeneous multiscale method for homogenization problems (2009)

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