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47 Publications
2021 | Journal Article | LibreCat-ID: 45959
Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Willmore Flow of Closed Surfaces.” Numerische Mathematik 149, no. 3 (2021): 595–643. https://doi.org/10.1007/s00211-021-01238-z.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 45954
Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 45953
Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 45955
Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich. “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert Equation.” Mathematics of Computation 90, no. 329 (2020): 995–1038. https://doi.org/10.1090/mcom/3597.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 45952
Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” Interfaces and Free Boundaries 22, no. 4 (2020): 443–64. https://doi.org/10.4171/ifb/446.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 45948
Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” Numerische Mathematik 143, no. 4 (2019): 797–853. https://doi.org/10.1007/s00211-019-01074-2.
LibreCat
| DOI
2018 | Habilitation | LibreCat-ID: 45974 | 
Kovács, Balázs. Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces. Tübingen, Germany, 2018.
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2018 | Journal Article | LibreCat-ID: 45950
Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” IMA Journal of Numerical Analysis 40, no. 2 (2018): 1241–65. https://doi.org/10.1093/imanum/dry086.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 45949
Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” IMA Journal of Numerical Analysis 40, no. 2 (2018): 1241–65. https://doi.org/10.1093/imanum/dry086.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 45947
Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization of Surface Evolution.” Numerische Mathematik 140, no. 1 (2018): 121–52. https://doi.org/10.1007/s00211-018-0962-6.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 45951
Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” Numerical Methods for Partial Differential Equations 35, no. 3 (2018): 1093–1112. https://doi.org/10.1002/num.22340.
LibreCat
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2017 | Journal Article | LibreCat-ID: 45941
Kovács, Balázs, Buyang Li, Christian Lubich, and Christian A. Power Guerra. “Convergence of Finite Elements on an Evolving Surface Driven by Diffusion on the Surface.” Numerische Mathematik 137, no. 3 (2017): 643–89. https://doi.org/10.1007/s00211-017-0888-4.
LibreCat
| DOI
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 138, no. 2 (2017): 365–88. https://doi.org/10.1007/s00211-017-0909-3.
LibreCat
| DOI
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 137, no. 1 (2017): 91–117. https://doi.org/10.1007/s00211-017-0868-8.
LibreCat
| DOI
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 34, no. 2 (2017): 518–54. https://doi.org/10.1002/num.22212.
LibreCat
| DOI
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 38, no. 1 (2017): 430–59. https://doi.org/10.1093/imanum/drx013.
LibreCat
| DOI
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 34, no. 2 (2017): 518–54. https://doi.org/10.1002/num.22212.
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| DOI
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 38, no. 1 (2016): 460–94. https://doi.org/10.1093/imanum/drw074.
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| DOI
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 32, no. 4 (2016): 1200–1231. https://doi.org/10.1002/num.22047.
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| DOI
2016 | Journal Article | LibreCat-ID: 45939
Kovács, Balázs, Buyang Li, and Christian Lubich. “A-Stable Time Discretizations Preserve Maximal Parabolic Regularity.” SIAM Journal on Numerical Analysis 54, no. 6 (2016): 3600–3624. https://doi.org/10.1137/15m1040918.
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