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65N50 Mesh generation and refinement (35 articles)

• Huang, Pengzhan; Zhang, Qiuyu: A recovery-based a posteriori error estimator for the generalized Stokes problem. (English). Applications of Mathematics, vol. 65 (2020), issue 1, pp. 23-41
• Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind: On interpolation error on degenerating prismatic elements. (English). Applications of Mathematics, vol. 63 (2018), issue 3, pp. 237-257
• Dolejší, Vít; Roskovec, Filip: Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems. (English). Applications of Mathematics, vol. 62 (2017), issue 6, pp. 579-605
• Hannukainen, Antti; Korotov, Sergey; Křížek, Michal: On Synge-type angle condition for $d$-simplices. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 1-13
• Hošek, Radim: The role of Sommerville tetrahedra in numerical mathematics. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 46-54
• Hošek, Radim: Strongly regular family of boundary-fitted tetrahedral meshes of bounded $C^2$ domains. (English). Applications of Mathematics, vol. 61 (2016), issue 3, pp. 233-251
• Dolejší, Vít: Anisotropic $hp$-adaptive method based on interpolation error estimates in the $H^1$-seminorm. (English). Applications of Mathematics, vol. 60 (2015), issue 6, pp. 597-616
• Hošek, Radim: Face-to-face partition of 3D space with identical well-centered tetrahedra. (English). Applications of Mathematics, vol. 60 (2015), issue 6, pp. 637-651
• Rüter, Marcus; Chen, Jiun-Shyan: A multi-space error estimation approach for meshfree methods. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 194-205
• Faragó, István; Korotov, Sergey; Szabó, Tamás: On continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 34-44
• Kovács, Balázs: On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. (English). Applications of Mathematics, vol. 59 (2014), issue 5, pp. 489-508
• Dolejší, Vít: $hp$-anisotropic mesh adaptation technique based on interpolation error estimates. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 32-41
• Korotov, Sergey; Křížek, Michal: On simplicial red refinement in three and higher dimensions. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 131-139
• Dolejší, Vít: An adaptive $hp$-discontinuous Galerkin approach for nonlinear convection-diffusion problems. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 72-82
• Roos, Hans-Görg; Schopf, Martin: Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D. (English). Applications of Mathematics, vol. 57 (2012), issue 2, pp. 97-108
• Dalík, Josef: The invertibility of the isoparametric mappings for triangular quadratic Lagrange finite elements. (English). Applications of Mathematics, vol. 57 (2012), issue 5, pp. 445-462
• Korotov, Sergey: On conforming nonobtuse tetrahedralizations of some cylindrical-type domains. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 127-134
• Brandts, Jan; Korotov, Sergey; Křížek, Michal: Generalization of the Zlámal condition for simplicial finite elements in ${\Bbb R}^d$. (English). Applications of Mathematics, vol. 56 (2011), issue 4, pp. 417-424
• Apel, Thomas; Sirch, Dieter: $L^2$-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes. (English). Applications of Mathematics, vol. 56 (2011), issue 2, pp. 177-206
• Karátson, János; Korotov, Sergey: Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. (English). Applications of Mathematics, vol. 54 (2009), issue 4, pp. 297-336
• Korotov, Sergey: Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. (English). Applications of Mathematics, vol. 52 (2007), issue 3, pp. 235-249
• Roos, Hans-Görg: Error estimates for linear finite elements on Bakhvalov-type meshes. (English). Applications of Mathematics, vol. 51 (2006), issue 1, pp. 63-72
• Beilina, Larisa; Korotov, Sergey; Křížek, Michal: Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. (English). Applications of Mathematics, vol. 50 (2005), issue 6, pp. 569-581
• Maubach, Joseph M.: Space-filling curves for 2-simplicial meshes created with bisections and reflections. (English). Applications of Mathematics, vol. 50 (2005), issue 3, pp. 309-321
• Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen: An introduction to hierarchical matrices. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 229-241
• Vanselow, Reiner: About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation. (English). Applications of Mathematics, vol. 46 (2001), issue 1, pp. 13-28
• Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen: An introduction to hierarchical matrices. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 101-111
• Maryška, Jiří; Severýn, Otto; Vohralík, Martin: Mixed-hybrid model of the fracture flow. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 297-321
• Ženíšek, Alexander; Hoderová-Zlámalová, Jana: Semiregular hermite tetrahedral finite elements. (English). Applications of Mathematics, vol. 46 (2001), issue 4, pp. 295-315
• Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka: On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. (English). Applications of Mathematics, vol. 44 (1999), issue 1, pp. 33-42
• Hackbusch, W.; Sauter, S.: A new finite element approach for problems containing small geometric details. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 105-117
• Hoppe, Ronald H.W.; Wohlmuth, Barbara: Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods. (English). Applications of Mathematics, vol. 40 (1995), issue 3, pp. 227-248
• Haslinger, Jaroslav; Neittaanmäki, P.; Salmenjoki, K.: On FE-grid relocation in solving unilateral boundary value problems by FEM. (English). Applications of Mathematics, vol. 37 (1992), issue 2, pp. 105-122
• Hlaváček, Ivan: Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 225-236
• Lin, Qun: Extrapolation of finite element solutions on non-uniform quadrilateral meshes. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 279-280