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43 Publications
2020 | Journal Article | LibreCat-ID: 45952
Kovács, Balázs, et al. “A Convergent Algorithm for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” Interfaces and Free Boundaries, vol. 22, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2020, pp. 443–64, doi:10.4171/ifb/446.
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2019 | Journal Article | LibreCat-ID: 45948
Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” Numerische Mathematik, vol. 143, no. 4, Springer Science and Business Media LLC, 2019, pp. 797–853, doi:10.1007/s00211-019-01074-2.
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| DOI
2018 | Habilitation | LibreCat-ID: 45974 | 
Kovács, Balázs. Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces. 2018.
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2018 | Journal Article | LibreCat-ID: 45950
Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” IMA Journal of Numerical Analysis, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:10.1093/imanum/dry086.
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| DOI
2018 | Journal Article | LibreCat-ID: 45949
Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” IMA Journal of Numerical Analysis, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:10.1093/imanum/dry086.
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| DOI
2018 | Journal Article | LibreCat-ID: 45947
Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization of Surface Evolution.” Numerische Mathematik, vol. 140, no. 1, Springer Science and Business Media LLC, 2018, pp. 121–52, doi:10.1007/s00211-018-0962-6.
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2018 | Journal Article | LibreCat-ID: 45951
Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” Numerical Methods for Partial Differential Equations, vol. 35, no. 3, Wiley, 2018, pp. 1093–112, doi:10.1002/num.22340.
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2017 | Journal Article | LibreCat-ID: 45941
Kovács, Balázs, et al. “Convergence of Finite Elements on an Evolving Surface Driven by Diffusion on the Surface.” Numerische Mathematik, vol. 137, no. 3, Springer Science and Business Media LLC, 2017, pp. 643–89, doi:10.1007/s00211-017-0888-4.
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2017 | Journal Article | LibreCat-ID: 45942
Kovács, Balázs, and Christian Lubich. “Stability and Convergence of Time Discretizations of Quasi-Linear Evolution Equations of Kato Type.” Numerische Mathematik, vol. 138, no. 2, Springer Science and Business Media LLC, 2017, pp. 365–88, doi:10.1007/s00211-017-0909-3.
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2017 | Journal Article | LibreCat-ID: 45940
Kovács, Balázs, and Christian Lubich. “Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” Numerische Mathematik, vol. 137, no. 1, Springer Science and Business Media LLC, 2017, pp. 91–117, doi:10.1007/s00211-017-0868-8.
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2017 | Journal Article | LibreCat-ID: 45946
Kovács, Balázs, and Christian Andreas Power Guerra. “Maximum Norm Stability and Error Estimates for the Evolving Surface Finite Element Method.” Numerical Methods for Partial Differential Equations, vol. 34, no. 2, Wiley, 2017, pp. 518–54, doi:10.1002/num.22212.
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2017 | Journal Article | LibreCat-ID: 45943
Kovács, Balázs. “High-Order Evolving Surface Finite Element Method for Parabolic Problems on Evolving Surfaces.” IMA Journal of Numerical Analysis, vol. 38, no. 1, Oxford University Press (OUP), 2017, pp. 430–59, doi:10.1093/imanum/drx013.
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2017 | Journal Article | LibreCat-ID: 45945
Kovács, Balázs, and Christian Andreas Power Guerra. “Maximum Norm Stability and Error Estimates for the Evolving Surface Finite Element Method.” Numerical Methods for Partial Differential Equations, vol. 34, no. 2, Wiley, 2017, pp. 518–54, doi:10.1002/num.22212.
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2016 | Journal Article | LibreCat-ID: 45944
Kovács, Balázs, and Christian Andreas Power Guerra. “Higher Order Time Discretizations with ALE Finite Elements for Parabolic Problems on Evolving Surfaces.” IMA Journal of Numerical Analysis, vol. 38, no. 1, Oxford University Press (OUP), 2016, pp. 460–94, doi:10.1093/imanum/drw074.
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2016 | Journal Article | LibreCat-ID: 45936
Kovács, Balázs, and Christian Andreas Power Guerra. “Error Analysis for Full Discretizations of Quasilinear Parabolic Problems on Evolving Surfaces.” Numerical Methods for Partial Differential Equations, vol. 32, no. 4, Wiley, 2016, pp. 1200–31, doi:10.1002/num.22047.
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2016 | Journal Article | LibreCat-ID: 45939
Kovács, Balázs, et al. “A-Stable Time Discretizations Preserve Maximal Parabolic Regularity.” SIAM Journal on Numerical Analysis, vol. 54, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2016, pp. 3600–24, doi:10.1137/15m1040918.
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2016 | Journal Article | LibreCat-ID: 45937
Kovács, Balázs, and Christian Lubich. “Numerical Analysis of Parabolic Problems with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis, vol. 37, no. 1, Oxford University Press (OUP), 2016, pp. 1–39, doi:10.1093/imanum/drw015.
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2016 | Conference Paper | LibreCat-ID: 45938
Karátson, J., and Balázs Kovács. “A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems.” Mathematical Problems in Meteorological Modelling, 2016, pp. 57–70.
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2015 | Dissertation | LibreCat-ID: 45973 |
Kovács, Balázs. Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations. 2015, doi:10.15476/ELTE.2015.076.
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2014 | Journal Article | LibreCat-ID: 45935
Axelsson, Owe, et al. “Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality.” SIAM Journal on Numerical Analysis, vol. 52, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2014, pp. 2957–76, doi:10.1137/130940268.
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