38 Publications

Mark all

[38]
2024 | Journal Article | LibreCat-ID: 53141
Edelmann, D., Kovács, B., & Lubich, C. (2024). Numerical analysis of an evolving bulk--surface model of tumour growth. ArXiv. https://doi.org/10.48550/ARXIV.2401.09372
LibreCat | DOI
 
[37]
2024 | Journal Article | LibreCat-ID: 45972
Kovács, B. (2024). Numerical surgery for mean curvature flow of surfaces. SIAM Journal on Scientific Computing, 46(2). https://doi.org/10.1137/22M1531919
LibreCat | DOI
 
[36]
2023 | Journal Article | LibreCat-ID: 45971
Bartels, S., Kovács, B., & Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drad037
LibreCat | DOI
 
[35]
2023 | Journal Article | LibreCat-ID: 53140
Contri, A., Kovács, B., & Massing, A. (2023). Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. ArXiv. https://doi.org/10.48550/ARXIV.2312.05511
LibreCat | DOI
 
[34]
2022 | Journal Article | LibreCat-ID: 45970
Garcke, H., Kovács, B., & Trautwein, D. (2022). Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences, 32(13), 2673–2758. https://doi.org/10.1142/s0218202522500634
LibreCat | DOI
 
[33]
2022 | Journal Article | LibreCat-ID: 45969
Elliott, C. M., Garcke, H., & Kovács, B. (2022). Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik, 151(4), 873–925. https://doi.org/10.1007/s00211-022-01301-3
LibreCat | DOI
 
[32]
2022 | Journal Article | LibreCat-ID: 45963
Nick, J., Kovács, B., & Lubich, C. (2022). Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik, 150(4), 1123–1164. https://doi.org/10.1007/s00211-022-01277-0
LibreCat | DOI
 
[31]
2022 | Journal Article | LibreCat-ID: 45964
Kovács, B., & Li, B. (2022). Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac033
LibreCat | DOI
 
[30]
2022 | Journal Article | LibreCat-ID: 45966
Altmann, R., Kovács, B., & Zimmer, C. (2022). Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis, 43(2), 950–975. https://doi.org/10.1093/imanum/drac002
LibreCat | DOI
 
[29]
2022 | Journal Article | LibreCat-ID: 45968
Csomós, P., Farkas, B., & Kovács, B. (2022). Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac079
LibreCat | DOI
 
[28]
2022 | Journal Article | LibreCat-ID: 45958
Beschle, C. A., & Kovács, B. (2022). Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. Numerische Mathematik, 151(1), 1–48. https://doi.org/10.1007/s00211-022-01280-5
LibreCat | DOI
 
[27]
2022 | Journal Article | LibreCat-ID: 45956
Bohn, J., Feischl, M., & Kovács, B. (2022). FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. Computational Methods in Applied Mathematics, 23(1), 19–48. https://doi.org/10.1515/cmam-2022-0145
LibreCat | DOI
 
[26]
2021 | Journal Article | LibreCat-ID: 45967
Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for mean curvature flow in higher codimension. ArXiv.
LibreCat
 
[25]
2021 | Journal Article | LibreCat-ID: 45962
Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. IMA Journal of Numerical Analysis, 42(3), 2545–2588. https://doi.org/10.1093/imanum/drab043
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 45957
Harder, P., & Kovács, B. (2021). Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis, 42(3), 2589–2620. https://doi.org/10.1093/imanum/drab045
LibreCat | DOI
 
[23]
2021 | Journal Article | LibreCat-ID: 45961
Nick, J., Kovács, B., & Lubich, C. (2021). Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik, 147(4), 997–1000. https://doi.org/10.1007/s00211-021-01196-6
LibreCat | DOI
 
[22]
2020 | Journal Article | LibreCat-ID: 45953
Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073
LibreCat | DOI
 
[21]
2020 | Journal Article | LibreCat-ID: 45955
Akrivis, G., Feischl, M., Kovács, B., & Lubich, C. (2020). Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation, 90(329), 995–1038. https://doi.org/10.1090/mcom/3597
LibreCat | DOI
 
[20]
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
LibreCat | DOI
 
[19]
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
LibreCat | DOI
 
[18]
2018 | Habilitation | LibreCat-ID: 45974 | OA
Kovács, B. (2018). Numerical analysis of partial differential equations on and of evolving surfaces.
LibreCat | Download (ext.)
 
[17]
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
LibreCat | DOI
 
[16]
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
LibreCat | DOI
 
[15]
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
LibreCat | DOI
 
[14]
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
LibreCat | DOI
 
[13]
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
LibreCat | DOI
 
[12]
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
LibreCat | DOI
 
[11]
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
LibreCat | DOI
 
[10]
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
LibreCat | DOI
 
[9]
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
LibreCat | DOI
 
[8]
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
LibreCat | DOI
 
[7]
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
LibreCat | DOI
 
[6]
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
LibreCat | DOI
 
[5]
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.
LibreCat
 
[4]
2015 | Dissertation | LibreCat-ID: 45973 | OA
Kovács, B. (2015). Efficient numerical methods for elliptic and parabolic partial differential equations. https://doi.org/10.15476/ELTE.2015.076
LibreCat | DOI | Download (ext.)
 
[3]
2014 | Journal Article | LibreCat-ID: 45934
Kovács, B. (2014). On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. Applications of Mathematics, 59(5), 489–508. https://doi.org/10.1007/s10492-014-0068-0
LibreCat | DOI
 
[2]
2012 | Journal Article | LibreCat-ID: 45933
Karátson, J., & Kovács, B. (2012). Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Computers & Mathematics with Applications, 65(3), 449–459. https://doi.org/10.1016/j.camwa.2012.04.021
LibreCat | DOI
 
[1]
2011 | Journal Article | LibreCat-ID: 45932
Kovács, B. (2011). A comparison of some efficient numerical methods for a nonlinear elliptic problem. Central European Journal of Mathematics, 10(1), 217–230. https://doi.org/10.2478/s11533-011-0071-6
LibreCat | DOI
 

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38 Publications

Mark all

[38]
2024 | Journal Article | LibreCat-ID: 53141
Edelmann, D., Kovács, B., & Lubich, C. (2024). Numerical analysis of an evolving bulk--surface model of tumour growth. ArXiv. https://doi.org/10.48550/ARXIV.2401.09372
LibreCat | DOI
 
[37]
2024 | Journal Article | LibreCat-ID: 45972
Kovács, B. (2024). Numerical surgery for mean curvature flow of surfaces. SIAM Journal on Scientific Computing, 46(2). https://doi.org/10.1137/22M1531919
LibreCat | DOI
 
[36]
2023 | Journal Article | LibreCat-ID: 45971
Bartels, S., Kovács, B., & Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drad037
LibreCat | DOI
 
[35]
2023 | Journal Article | LibreCat-ID: 53140
Contri, A., Kovács, B., & Massing, A. (2023). Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. ArXiv. https://doi.org/10.48550/ARXIV.2312.05511
LibreCat | DOI
 
[34]
2022 | Journal Article | LibreCat-ID: 45970
Garcke, H., Kovács, B., & Trautwein, D. (2022). Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences, 32(13), 2673–2758. https://doi.org/10.1142/s0218202522500634
LibreCat | DOI
 
[33]
2022 | Journal Article | LibreCat-ID: 45969
Elliott, C. M., Garcke, H., & Kovács, B. (2022). Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik, 151(4), 873–925. https://doi.org/10.1007/s00211-022-01301-3
LibreCat | DOI
 
[32]
2022 | Journal Article | LibreCat-ID: 45963
Nick, J., Kovács, B., & Lubich, C. (2022). Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik, 150(4), 1123–1164. https://doi.org/10.1007/s00211-022-01277-0
LibreCat | DOI
 
[31]
2022 | Journal Article | LibreCat-ID: 45964
Kovács, B., & Li, B. (2022). Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac033
LibreCat | DOI
 
[30]
2022 | Journal Article | LibreCat-ID: 45966
Altmann, R., Kovács, B., & Zimmer, C. (2022). Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis, 43(2), 950–975. https://doi.org/10.1093/imanum/drac002
LibreCat | DOI
 
[29]
2022 | Journal Article | LibreCat-ID: 45968
Csomós, P., Farkas, B., & Kovács, B. (2022). Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac079
LibreCat | DOI
 
[28]
2022 | Journal Article | LibreCat-ID: 45958
Beschle, C. A., & Kovács, B. (2022). Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. Numerische Mathematik, 151(1), 1–48. https://doi.org/10.1007/s00211-022-01280-5
LibreCat | DOI
 
[27]
2022 | Journal Article | LibreCat-ID: 45956
Bohn, J., Feischl, M., & Kovács, B. (2022). FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. Computational Methods in Applied Mathematics, 23(1), 19–48. https://doi.org/10.1515/cmam-2022-0145
LibreCat | DOI
 
[26]
2021 | Journal Article | LibreCat-ID: 45967
Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for mean curvature flow in higher codimension. ArXiv.
LibreCat
 
[25]
2021 | Journal Article | LibreCat-ID: 45962
Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. IMA Journal of Numerical Analysis, 42(3), 2545–2588. https://doi.org/10.1093/imanum/drab043
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 45957
Harder, P., & Kovács, B. (2021). Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis, 42(3), 2589–2620. https://doi.org/10.1093/imanum/drab045
LibreCat | DOI
 
[23]
2021 | Journal Article | LibreCat-ID: 45961
Nick, J., Kovács, B., & Lubich, C. (2021). Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik, 147(4), 997–1000. https://doi.org/10.1007/s00211-021-01196-6
LibreCat | DOI
 
[22]
2020 | Journal Article | LibreCat-ID: 45953
Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073
LibreCat | DOI
 
[21]
2020 | Journal Article | LibreCat-ID: 45955
Akrivis, G., Feischl, M., Kovács, B., & Lubich, C. (2020). Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation, 90(329), 995–1038. https://doi.org/10.1090/mcom/3597
LibreCat | DOI
 
[20]
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
LibreCat | DOI
 
[19]
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
LibreCat | DOI
 
[18]
2018 | Habilitation | LibreCat-ID: 45974 | OA
Kovács, B. (2018). Numerical analysis of partial differential equations on and of evolving surfaces.
LibreCat | Download (ext.)
 
[17]
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
LibreCat | DOI
 
[16]
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
LibreCat | DOI
 
[15]
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
LibreCat | DOI
 
[14]
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
LibreCat | DOI
 
[13]
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
LibreCat | DOI
 
[12]
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
LibreCat | DOI
 
[11]
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
LibreCat | DOI
 
[10]
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
LibreCat | DOI
 
[9]
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
LibreCat | DOI
 
[8]
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
LibreCat | DOI
 
[7]
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
LibreCat | DOI
 
[6]
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
LibreCat | DOI
 
[5]
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.
LibreCat
 
[4]
2015 | Dissertation | LibreCat-ID: 45973 | OA
Kovács, B. (2015). Efficient numerical methods for elliptic and parabolic partial differential equations. https://doi.org/10.15476/ELTE.2015.076
LibreCat | DOI | Download (ext.)
 
[3]
2014 | Journal Article | LibreCat-ID: 45934
Kovács, B. (2014). On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. Applications of Mathematics, 59(5), 489–508. https://doi.org/10.1007/s10492-014-0068-0
LibreCat | DOI
 
[2]
2012 | Journal Article | LibreCat-ID: 45933
Karátson, J., & Kovács, B. (2012). Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Computers & Mathematics with Applications, 65(3), 449–459. https://doi.org/10.1016/j.camwa.2012.04.021
LibreCat | DOI
 
[1]
2011 | Journal Article | LibreCat-ID: 45932
Kovács, B. (2011). A comparison of some efficient numerical methods for a nonlinear elliptic problem. Central European Journal of Mathematics, 10(1), 217–230. https://doi.org/10.2478/s11533-011-0071-6
LibreCat | DOI
 

Search

Filter Publications

Display / Sort

Citation Style: APA

Export / Embed