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Rattia J.M.N., Percival J.R., Neethling S.J., Piggott M.D., “Modelling Local Scour Near Structures With Combined Mesh Movement and Mesh Optimisation”, J. Comput. Phys., 375 (2018), 1220–1237
Vasilev E., Lachinov D., Grishin A., Turlapov V., “Fast Tetrahedral Mesh Generation and Segmentation of An Atlas-Based Heart Model Using a Periodic Uniform Grid”, Russ. J. Numer. Anal. Math. Model, 33:5 (2018), 315–323
Brethes G., Dervieux A., “A Tensorial-Basedmesh Adaptation For a Poisson Problem”, Eur. J. Comput. Mech., 26:3 (2017), 245–281
Maddison J.R., Hiester H.R., “Optimal Constrained Interpolation in Mesh-Adaptive Finite Element Modeling”, SIAM J. Sci. Comput., 39:5 (2017), A2257–A2286
Ibanez D., Barral N., Krakos J., Loseille A., Michal T., Park M., “First Benchmark of the Unstructured Grid Adaptation Working Group”, 26Th International Meshing Roundtable, (Imr26 2017), Procedia Engineering, 203, eds. Owen S., Roca X., Mitchell S., Elsevier Science Bv, 2017, 154–166
Bhutani G., Brito-Parada P.R., Cilliers J.J., “Polydispersed Flow Modelling Using Population Balances in An Adaptive Mesh Finite Element Framework”, Comput. Chem. Eng., 87 (2016), 208–225
Savre J., Percival J., Herzog M., Pain Ch., “Two-Dimensional Evaluation of ATHAM-Fluidity, a Nonhydrostatic Atmospheric Model Using Mixed Continuous/Discontinuous Finite Elements and Anisotropic Grid Optimization”, Mon. Weather Rev., 144:11 (2016), 4349–4372
Brethes G., Dervieux A., “Anisotropic norm-oriented mesh adaptation for a Poisson problem”, J. Comput. Phys., 322 (2016), 804–826
Xie H. Yin X., “Metric Tensors for the Interpolation Error and its Gradient in l-P Norm”, J. Comput. Phys., 256 (2014), 543–562
Hiester H.R., Piggott M.D., Farrell P.E., Allison P.A., “Assessment of Spurious Mixing in Adaptive Mesh Simulations of the Two-Dimensional Lock-Exchange”, Ocean Model., 73 (2014), 30–44
Kamenski L. Huang W., “How a Nonconvergent Recovered Hessian Works in Mesh Adaptation”, SIAM J. Numer. Anal., 52:4 (2014), 1692–1708
Jacobs C.T., Collins G.S., Piggott M.D., Kramer S.C., Wilson C.R.G., “Multiphase Flow Modelling of Volcanic Ash Particle Settling in Water Using Adaptive Unstructured Meshes”, Geophys. J. Int., 192:2 (2013), 647–665
Baker C.M.J., Buchan A.G., Pain C.C., Farrell P.E., Eaton M.D., Warner P., “Multimesh Anisotropic Adaptivity for the Boltzmann Transport Equation”, Ann. Nucl. Energy, 53 (2013), 411–426
Kamenski L., “A Study on Using Hierarchical Basis Error Estimates in Anisotropic Mesh Adaptation for the Finite Element Method”, Eng. Comput., 28:4, SI (2012), 451–460
Brito-Parada P.R., Neethling S.J., Cilliers J.J., “The Advantages of Using Mesh Adaptivity When Modelling the Drainage of Liquid in Froths”, Miner. Eng., 33:SI (2012), 80–86
Gorman G.J., Southern J., Farrell P.E., Piggott M.D., Rokos G., Kelly P.H.J., “Hybrid Openmp/Mpi Anisotropic Mesh Smoothing”, Proceedings of the International Conference on Computational Science, ICCS 2012, Procedia Computer Science, 9, eds. Ali H., Shi Y., Khazanchi D., Lees M., VanAlbada G., Dongarra J., Sloot P., Elsevier Science BV, 2012, 1513–1522
Farrell P.E., Maddison J.R., “Conservative interpolation between volume meshes by local Galerkin projection”, Comput Methods Appl Mech Engrg, 200:1–4 (2011), 89–100
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
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
Davies D.R., Wilson C.R., Kramer S.C., “Fluidity: A fully unstructured anisotropic adaptive mesh computational modeling framework for geodynamics”, Geochemistry Geophysics Geosystems, 12 (2011), Q06001
A. Agouzal, K. N. Lipnikov, Yu. V. Vassilevski, “Hessian-free metric-based mesh adaptation via geometry of interpolation error”, Ж. вычисл. матем. и матем. физ., 50:1 (2010), 131–145; Comput. Math. Math. Phys., 50:1 (2010), 124–138
Agouzal A., Lipnikov K., Vassilevski Yu., “Edge-based a Posteriori Error Estimators for Generating Quasi-optimal Simplicial Meshes”, Mathematical Modelling of Natural Phenomena, 5, Suppl. S:7 (2010), 91–96
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
Agouzal A., Debit N., “Quasi-Optimal Triangulations for Gradient Nonconforming Interpolates of Piecewise Regular Functions”, Mathematical Modelling of Natural Phenomena, 5, Suppl. S:7 (2010), 78–83
Huang W., Kamenski L., Lang J., “A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates”, J Comput Phys, 229:6 (2010), 2179–2198
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
Agouzal A., Debit N., “Quasi-Optimal Meshes for Gradient Nonconforming Approximations”, Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, 1281, 2010, 1562–1565
В. Н. Чугунов, “Алгоритм построения конформной квазииерархической треугольной сетки, слабо $\delta$-аппроксимирующей заданные ломаные”, Ж. вычисл. матем. и матем. физ., 49:5 (2009), 874–878; V. N. Chugunov, “Algorithm for generating a conformal quasi-hierarchical triangular mesh that weakly $\delta$-approximates given polygonal lines”, Comput. Math. Math. Phys., 495:5 (2009), 842–845
Piggott M.D., Farrell P.E., Wilson C.R., Gorman G.J., Pain C.C., “Anisotropic mesh adaptivity for multi-scale ocean modelling”, Philos Trans R Soc Lond Ser A Math Phys Eng Sci, 367:1907 (2009), 4591–4611
Farrell P.E., Piggott M.D., Pain C.C., Gorman G.J., Wilson C.R., “Conservative interpolation between unstructured meshes via supermesh construction”, Comput Methods Appl Mech Engrg, 198:33–36 (2009), 2632–2642
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
Agouzal A., Lipnikov K., Vassilevski Yu., “Generation of quasi-optimal meshes based on a posteriori error estimates”, Proceedings of the 16th International Meshing Roundtable, 2008, 139–148
Lipnikov K., Vassilevski Yu., “Analysis of Hessian recovery methods for generating adaptive meshes”, Proceedings of the 15th International Meshing Roundtable, 2006, 163–171
Ю. В. Василевский, К. Н. Липников, “Оценки ошибки для управляемых адаптивных алгоритмов на основе восстановления гессиана”, Ж. вычисл. матем. и матем. физ., 45:8 (2005), 1424–1434; Yu. V. Vassilevski, K. N. Lipnikov, “Error bounds for controllable adaptive algorithms based on a Hessian recovery”, Comput. Math. Math. Phys., 45:8 (2005), 1374–1384
Vassilevski Y.V., Agouzal A., “Unified asymptotic analysis of interpolation errors for optimal meshes”, Doklady Mathematics, 72:3 (2005), 879–882
Oh S., Yim J.W., “Optimal finite element mesh for elliptic equation of divergence form”, Applied Mathematics and Computation, 162:2 (2005), 969–989
Lipnikov K., Vassilevski Y., “On control of adaptation in parallel mesh generation”, Engineering With Computers, 20:3 (2004), 193–201
Ю. В. Василевский, К. Н. Липников, “Оптимальные триангуляции: существование, аппроксимация и двойное дифференцирование $P_1$ конечно-элементных функций”, Ж. вычисл. матем. и матем. физ., 43:6 (2003), 866–874; Yu. V. Vassilevski, K. N. Lipnikov, “Optimal triangulations: existence, approximations, and double differentiation of $P_1$ finite element functions”, Comput. Math. Math. Phys., 43:6 (2003), 827–835
Н. А. Владимирова, А. М. Сорокин, “Анизотропная адаптация трехмерных нерегулярных сеток в задачах вычислительной газовой динамики”, Ж. вычисл. матем. и матем. физ., 43:6 (2003), 909–919; N. A. Vladimirova, A. M. Sorokin, “Anisotropic adaptation of three-dimensional irregular grids to the problems of gasdynamic computations”, Comput. Math. Math. Phys., 43:6 (2003), 870–879
Lipnikov K., Vassilevski Y., “Parallel adaptive solution of 3D boundary value problems by Hessian recovery”, Comput Methods Appl Mech Engrg, 192:11–12 (2003), 1495–1513
