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43 Publications
2020 | Journal Article | LibreCat-ID: 45952
Kovács, B., Li, B., & Lubich, C. (2020). A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. Interfaces and Free Boundaries, 22(4), 443–464. https://doi.org/10.4171/ifb/446
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2019 | Journal Article | LibreCat-ID: 45948
Kovács, B., Li, B., & Lubich, C. (2019). A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik, 143(4), 797–853. https://doi.org/10.1007/s00211-019-01074-2
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2018 | Habilitation | LibreCat-ID: 45974 | 
Kovács, B. (2018). Numerical analysis of partial differential equations on and of evolving surfaces.
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2018 | Journal Article | LibreCat-ID: 45950
Karátson, J., Kovács, B., & Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. IMA Journal of Numerical Analysis, 40(2), 1241–1265. https://doi.org/10.1093/imanum/dry086
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2018 | Journal Article | LibreCat-ID: 45949
Karátson, J., Kovács, B., & Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. IMA Journal of Numerical Analysis, 40(2), 1241–1265. https://doi.org/10.1093/imanum/dry086
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2018 | Journal Article | LibreCat-ID: 45947
Kovács, B., & Lubich, C. (2018). Linearly implicit full discretization of surface evolution. Numerische Mathematik, 140(1), 121–152. https://doi.org/10.1007/s00211-018-0962-6
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2018 | Journal Article | LibreCat-ID: 45951
Kovács, B. (2018). Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. Numerical Methods for Partial Differential Equations, 35(3), 1093–1112. https://doi.org/10.1002/num.22340
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2017 | Journal Article | LibreCat-ID: 45941
Kovács, B., Li, B., Lubich, C., & Power Guerra, C. A. (2017). Convergence of finite elements on an evolving surface driven by diffusion on the surface. Numerische Mathematik, 137(3), 643–689. https://doi.org/10.1007/s00211-017-0888-4
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2017 | Journal Article | LibreCat-ID: 45942
Kovács, B., & Lubich, C. (2017). Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numerische Mathematik, 138(2), 365–388. https://doi.org/10.1007/s00211-017-0909-3
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2017 | Journal Article | LibreCat-ID: 45940
Kovács, B., & Lubich, C. (2017). Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik, 137(1), 91–117. https://doi.org/10.1007/s00211-017-0868-8
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2017 | Journal Article | LibreCat-ID: 45946
Kovács, B., & Power Guerra, C. A. (2017). Maximum norm stability and error estimates for the evolving surface finite element method. Numerical Methods for Partial Differential Equations, 34(2), 518–554. https://doi.org/10.1002/num.22212
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2017 | Journal Article | LibreCat-ID: 45943
Kovács, B. (2017). High-order evolving surface finite element method for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis, 38(1), 430–459. https://doi.org/10.1093/imanum/drx013
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2017 | Journal Article | LibreCat-ID: 45945
Kovács, B., & Power Guerra, C. A. (2017). Maximum norm stability and error estimates for the evolving surface finite element method. Numerical Methods for Partial Differential Equations, 34(2), 518–554. https://doi.org/10.1002/num.22212
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2016 | Journal Article | LibreCat-ID: 45944
Kovács, B., & Power Guerra, C. A. (2016). Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis, 38(1), 460–494. https://doi.org/10.1093/imanum/drw074
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2016 | Journal Article | LibreCat-ID: 45936
Kovács, B., & Power Guerra, C. A. (2016). Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces. Numerical Methods for Partial Differential Equations, 32(4), 1200–1231. https://doi.org/10.1002/num.22047
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2016 | Journal Article | LibreCat-ID: 45939
Kovács, B., Li, B., & Lubich, C. (2016). A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM Journal on Numerical Analysis, 54(6), 3600–3624. https://doi.org/10.1137/15m1040918
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2016 | Journal Article | LibreCat-ID: 45937
Kovács, B., & Lubich, C. (2016). Numerical analysis of parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis, 37(1), 1–39. https://doi.org/10.1093/imanum/drw015
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2016 | Conference Paper | LibreCat-ID: 45938
Karátson, J., & Kovács, B. (2016). A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems. Mathematical Problems in Meteorological Modelling, 57–70.
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2015 | Dissertation | LibreCat-ID: 45973 |
Kovács, B. (2015). Efficient numerical methods for elliptic and parabolic partial differential equations. https://doi.org/10.15476/ELTE.2015.076
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2014 | Journal Article | LibreCat-ID: 45935
Axelsson, O., Karátson, J., & Kovács, B. (2014). Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality. SIAM Journal on Numerical Analysis, 52(6), 2957–2976. https://doi.org/10.1137/130940268
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