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ЖУРНАЛЫ // Журнал вычислительной математики и математической физики

Ж. вычисл. матем. и матем. физ., 2010, том 50, номер 1, страницы 131–145 (Mi zvmmf4816)

Hessian-free metric-based mesh adaptation via geometry of interpolation error
A. Agouzal, K. N. Lipnikov, Yu. V. Vassilevski

Эта публикация цитируется в следующих статьяx:
  1. Mesh Adaptation for Computational Fluid Dynamics 2, 2022, 189  crossref
  2. В. А. Клячин, “Аппроксимация градиента функции на основе специального класса триангуляций”, Изв. РАН. Сер. матем., 82:6 (2018), 65–77  mathnet  crossref  mathscinet  zmath  adsnasa  elib; V. A. Klyachin, “Approximation of the gradient of a function on the basis of a special class of triangulations”, Izv. Math., 82:6 (2018), 1136–1147  crossref  isi
  3. Jensen K.E., “A Matlab Script For Solving 2D/3D Minimum Compliance Problems Using Anisotropic Mesh Adaptation”, 26Th International Meshing Roundtable, (Imr26 2017), Procedia Engineering, 203, eds. Owen S., Roca X., Mitchell S., Elsevier Science Bv, 2017, 102–114  crossref  isi
  4. Brethes G., Dervieux A., “Anisotropic norm-oriented mesh adaptation for a Poisson problem”, J. Comput. Phys., 322 (2016), 804–826  crossref  mathscinet  zmath  isi  elib  scopus
  5. Xie H., Yin X., “Metric Tensors for the Interpolation Error and its Gradient in l-P Norm”, J. Comput. Phys., 256 (2014), 543–562  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  6. Kamenski L., Huang W., “How a Nonconvergent Recovered Hessian Works in Mesh Adaptation”, SIAM J. Numer. Anal., 52:4 (2014), 1692–1708  crossref  mathscinet  zmath  isi  scopus
  7. W. Huang, L. Kamenski, J. Lang, Numerical Mathematics and Advanced Applications 2011, 2013, 33  crossref
  8. Agouzal A., Vassilevski Yu.V., “On the$L^q$-saturation property for functions from $W^{2,p}(\Omega)$”, Appl. Math. Lett., 25:12 (2012), 2123–2127  crossref  mathscinet  zmath  isi  elib  scopus
  9. Kamenski L., “A study on using hierarchical basis error estimates in anisotropic mesh adaptation for the finite element method”, Eng. Comput., 28:4 (2012), 451–460  crossref  isi  elib  scopus
  10. Sirois Y., McKenty F., Gravel L., Guibault F., “Hybrid mesh adaptation applied to industrial numerical combustion”, Int. J. Numer. Methods Fluids, 70:2 (2012), 222–245  crossref  mathscinet  isi  elib  scopus
  11. Agouzal A., Lipnikov K., Vassilevski Yu., “Families of meshes minimizing $P_1$ interpolation error for functions with indefinite Hessian”, Russian J. Numer. Anal. Math. Modelling, 26:4 (2011), 337–352  crossref  mathscinet  zmath  isi  elib  scopus
  12. Agouzal A., Lipnikov K., Vassilevski Yu.V., “On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes”, Math. Comput. Simulation, 81:10 (2011), 1949–1961  crossref  mathscinet  zmath  isi  elib  scopus
  13. Joubarne E., Guibault F., “3D Metric-based anisotropic mesh adaptation for vortex capture”, Math. Comput. Simulation, 82:1 (2011), 163–180  crossref  mathscinet  zmath  isi  elib  scopus
  14. A. Agouzal, K. Lipnikov, Y. Vassilevski, Proceedings of the 20th International Meshing Roundtable, 2011, 313  crossref
  15. Agouzal A., Lipnikov K., Vassilevski Yu., “Edge-based a posteriori error estimators for generating quasi-optimal simplicial meshes”, Math. Model. Nat. Phenom., 5, Suppl. S:7 (2010), 91–96  crossref  mathscinet  isi  elib  scopus
  16. Agouzal A., Vassilevski Yu.V., “Minimization of gradient errors of piecewise linear interpolation on simplicial meshes”, Comput. Methods Appl. Mech. Engrg., 199:33–36 (2010), 2195–2203  crossref  mathscinet  zmath  adsnasa  isi  scopus
  17. Agouzal A., Lipnikov K., Vassilevski Yu., “Adaptive solution of PDEs on anisotropic triangular meshes”, Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, 1281, 2010, 1558–1561  crossref  adsnasa  isi  scopus
  18. Lennard Kamenski, Proceedings of the 19th International Meshing Roundtable, 2010, 297  crossref
  19. Agouzal A., Lipnikov K., Vassilevski Yu., “Anisotropic mesh adaptation for solution of finite element problems using hierarchical edge-based error estimates”, Proceedings of the 18th International Meshing Roundtable, 2009, 595–610  crossref  isi  scopus


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