• DML-CZ Home

65N55 Multigrid methods; domain decomposition (37 articles)

• Gbikpi-Benissan, Guillaume; Magoulès, Frédéric: Resilient asynchronous primal Schur method. (English). Applications of Mathematics, vol. 67 (2022), issue 6, pp. 679-704
• Mabrouki, Yassine; Satouri, Jamil: Spectral discretization of Darcy equations coupled with Navier-Stokes equations by vorticity-velocity-pressure formulation. (English). Applications of Mathematics, vol. 67 (2022), issue 4, pp. 445-470
• Benkhira, El-Hassan; Fakhar, Rachid; Mandyly, Youssef: A convergence result and numerical study for a nonlinear piezoelectric material in a frictional contact process with a conductive foundation. (English). Applications of Mathematics, vol. 66 (2021), issue 1, pp. 87-113
• Foltyn, Ladislav; Lukáš, Dalibor; Peterek, Ivo: Domain decomposition methods coupled with parareal for the transient heat equation in 1 and 2 spatial dimensions. (English). Applications of Mathematics, vol. 65 (2020), issue 2, pp. 173-190
• Sousedík, Bedřich: On adaptive BDDC for the flow in heterogeneous porous media. (English). Applications of Mathematics, vol. 64 (2019), issue 3, pp. 309-334
• Vaněk, Petr; Pultarová, Ivana: Convergence theory for the exact interpolation scheme with approximation vector as the first column of the prolongator and Rayleigh quotient iteration nonlinear smoother. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 49-73
• Xu, Fei; Xie, Hehu: A full multigrid method for semilinear elliptic equation. (English). Applications of Mathematics, vol. 62 (2017), issue 3, pp. 225-241
• Brousek, Jan; Fraňková, Pavla; Vaněk, Petr: Improved convergence bounds for smoothed aggregation method: linear dependence of the convergence rate on the number of levels. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 829-845
• Vašatová, Alena; Tomčala, Jiří; Sojka, Radim; Pecha, Marek; Kružík, Jakub; Horák, David; Hapla, Václav; Čermák, Martin: Parallel strategies for solving the FETI coarse problem in the PERMON toolbox. (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. 154-163
• Lukáš, Dalibor; Bouchala, Jiří; Vodstrčil, Petr; Malý, Lukáš: 2-dimensional primal domain decomposition theory in detail. (English). Applications of Mathematics, vol. 60 (2015), issue 3, pp. 265-283
• Hanek, Martin; Šístek, Jakub; Burda, Pavel: An application of the BDDC method to the Navier-Stokes equations in 3-D cavity. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 77-85
• Čertíková, Marta; Šístek, Jakub; Burda, Pavel: Different approaches to interface weights in the BDDC method in 3D. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 47-57
• Liu, Baoqing; Du, Qikui: Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem. (English). Applications of Mathematics, vol. 59 (2014), issue 3, pp. 285-301
• Wang, Chunmei: A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization. (English). Applications of Mathematics, vol. 59 (2014), issue 6, pp. 653-672
• Vaněk, Petr; Brezina, Marian: Nearly optimal convergence result for multigrid with aggressive coarsening and polynomial smoothing. (English). Applications of Mathematics, vol. 58 (2013), issue 4, pp. 369-388
• Fraňková, Pavla; Hanuš, Milan; Kopincová, Hana; Kužel, Roman; Vaněk, Petr; Vastl, Zbyněk: A short philosophical note on the origin of smoothed aggregations. (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. 67-76
• Čertíková, Marta; Burda, Pavel; Šístek, Jakub: Numerical comparison of different choices of interface weights in the BDDC method. (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. 55-61
• Čertíková, Marta; Šístek, Jakub; Burda, Pavel: On selection of interface weights in domain decomposition methods. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 35-44
• Vaněk, Petr: Smoothed prolongation multigrid with rapid coarsening and massive smoothing. (English). Applications of Mathematics, vol. 57 (2012), issue 1, pp. 1-10
• Šístek, Jakub; Mandel, Jan; Sousedík, Bedřich: Some practical aspects of parallel adaptive BDDC method. (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. 253-266
• Čertíková, Marta; Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub: Some remarks on averaging in the BDDC method. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 28-34
• Franz, Sebastian; Liu, Fang; Roos, Hans-Görg; Stynes, Martin; Zhou, Aihui: The combination technique for a two-dimensional convection-diffusion problem with exponential layers. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 203-223
• Šístek, Jakub; Burda, Pavel; Čertíková, Marta; Novotný, Jaroslav: On construction of the coarse space in the BDDC method. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 177-184
• Brandts, Jan; Korotov, Sergej; Křížek, Michal: O triangulacích bez tupých úhlů. (Czech) [On the triangulation without obtuse angles]. Pokroky matematiky, fyziky a astronomie, vol. 50 (2005), issue 3, pp. 193-207
• Cai, Xiao-Chuan; Marcinkowski, Leszek; Vassilevski, Panayot S.: An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems. (English). Applications of Mathematics, vol. 50 (2005), issue 3, pp. 247-275
• Blaheta, R.; Byczanski, P.; Kohut, R.: Composite grid finite element method: Implementation and iterative solution with inexact subproblems. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 83-100
• Brandts, Jan; Stevenson, Rob: A stable and optimal complexity solution method for mixed finite element discretizations. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 153-161
• Brandts, Jan; Stevenson, Rob: A stable and optimal complexity solution method for mixed finite element discretizations. (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. 27-35
• Janka, Aleš: Algebraic domain decomposition solver for linear elasticity. (English). Applications of Mathematics, vol. 44 (1999), issue 6, pp. 435-458
• 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
• Vaněk, Petr: Fast multigrid solver. (English). Applications of Mathematics, vol. 40 (1995), issue 1, pp. 1-20
• Heinrichs, Wilhelm: Spectral methods for singular perturbation problems. (English). Applications of Mathematics, vol. 39 (1994), issue 3, pp. 161-188
• Práger, Milan: A two parameter iterative method for solving algebraic systems of domain decomposition type. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 470-478
• Vaněk, Petr: Acceleration of convergence of a two-level algorithm by smoothing transfer operators. (English). Applications of Mathematics, vol. 37 (1992), issue 4, pp. 265-274
• Míka, Stanislav; Vaněk, Petr: A modification of the two-level algorithm with overcorrection. (English). Applications of Mathematics, vol. 37 (1992), issue 1, pp. 13-28
• Práger, Milan: An iterative method of alternating type for systems with special block matrices. (English). Applications of Mathematics, vol. 36 (1991), issue 1, pp. 72-78
• Hlaváček, I.: Domain optimization in axisymmetric elliptic problems. (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. 256-259