38 Publications

Mark all

[38]
2024 | Journal Article | LibreCat-ID: 53141
Edelmann D, Kovács B, Lubich C. Numerical analysis of an evolving bulk--surface model of tumour growth. arXiv. Published online 2024. doi:10.48550/ARXIV.2401.09372
LibreCat | DOI
 
[37]
2024 | Journal Article | LibreCat-ID: 45972
Kovács B. Numerical surgery for mean curvature flow of surfaces. SIAM Journal on Scientific Computing. 2024;46(2). doi:10.1137/22M1531919
LibreCat | DOI
 
[36]
2023 | Journal Article | LibreCat-ID: 45971
Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. Published online 2023. doi:10.1093/imanum/drad037
LibreCat | DOI
 
[35]
2023 | Journal Article | LibreCat-ID: 53140
Contri A, Kovács B, Massing A. Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. arXiv. Published online 2023. doi:10.48550/ARXIV.2312.05511
LibreCat | DOI
 
[34]
2022 | Journal Article | LibreCat-ID: 45970
Garcke H, Kovács B, Trautwein D. Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences. 2022;32(13):2673-2758. doi:10.1142/s0218202522500634
LibreCat | DOI
 
[33]
2022 | Journal Article | LibreCat-ID: 45969
Elliott CM, Garcke H, Kovács B. Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik. 2022;151(4):873-925. doi:10.1007/s00211-022-01301-3
LibreCat | DOI
 
[32]
2022 | Journal Article | LibreCat-ID: 45963
Nick J, Kovács B, Lubich C. Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik. 2022;150(4):1123-1164. doi:10.1007/s00211-022-01277-0
LibreCat | DOI
 
[31]
2022 | Journal Article | LibreCat-ID: 45964
Kovács B, Li B. Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. IMA Journal of Numerical Analysis. Published online 2022. doi:10.1093/imanum/drac033
LibreCat | DOI
 
[30]
2022 | Journal Article | LibreCat-ID: 45966
Altmann R, Kovács B, Zimmer C. Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2022;43(2):950-975. doi:10.1093/imanum/drac002
LibreCat | DOI
 
[29]
2022 | Journal Article | LibreCat-ID: 45968
Csomós P, Farkas B, Kovács B. Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. IMA Journal of Numerical Analysis. Published online 2022. doi:10.1093/imanum/drac079
LibreCat | DOI
 
[28]
2022 | Journal Article | LibreCat-ID: 45958
Beschle CA, Kovács B. Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. Numerische Mathematik. 2022;151(1):1-48. doi:10.1007/s00211-022-01280-5
LibreCat | DOI
 
[27]
2022 | Journal Article | LibreCat-ID: 45956
Bohn J, Feischl M, Kovács B. FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. Computational Methods in Applied Mathematics. 2022;23(1):19-48. doi:10.1515/cmam-2022-0145
LibreCat | DOI
 
[26]
2021 | Journal Article | LibreCat-ID: 45967
Binz T, Kovács B. A convergent finite element algorithm for mean curvature flow in higher codimension. arXiv. Published online 2021.
LibreCat
 
[25]
2021 | Journal Article | LibreCat-ID: 45962
Binz T, Kovács B. A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. IMA Journal of Numerical Analysis. 2021;42(3):2545-2588. doi:10.1093/imanum/drab043
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 45957
Harder P, Kovács B. Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2021;42(3):2589-2620. doi:10.1093/imanum/drab045
LibreCat | DOI
 
[23]
2021 | Journal Article | LibreCat-ID: 45961
Nick J, Kovács B, Lubich C. Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik. 2021;147(4):997-1000. doi:10.1007/s00211-021-01196-6
LibreCat | DOI
 
[22]
2020 | Journal Article | LibreCat-ID: 45953
Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis. 2020;41(1):638-728. doi:10.1093/imanum/drz073
LibreCat | DOI
 
[21]
2020 | Journal Article | LibreCat-ID: 45955
Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation. 2020;90(329):995-1038. doi:10.1090/mcom/3597
LibreCat | DOI
 
[20]
2020 | Journal Article | LibreCat-ID: 45952
Kovács B, Li B, Lubich C. A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. Interfaces and Free Boundaries. 2020;22(4):443-464. doi:10.4171/ifb/446
LibreCat | DOI
 
[19]
2019 | Journal Article | LibreCat-ID: 45948
Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik. 2019;143(4):797-853. doi:10.1007/s00211-019-01074-2
LibreCat | DOI
 
[18]
2018 | Habilitation | LibreCat-ID: 45974 | OA
Kovács B. Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces.; 2018.
LibreCat | Download (ext.)
 
[17]
2018 | Journal Article | LibreCat-ID: 45950
Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. IMA Journal of Numerical Analysis. 2018;40(2):1241-1265. doi:10.1093/imanum/dry086
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 45947
Kovács B, Lubich C. Linearly implicit full discretization of surface evolution. Numerische Mathematik. 2018;140(1):121-152. doi:10.1007/s00211-018-0962-6
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 45951
Kovács B. Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. Numerical Methods for Partial Differential Equations. 2018;35(3):1093-1112. doi:10.1002/num.22340
LibreCat | DOI
 
[14]
2017 | Journal Article | LibreCat-ID: 45941
Kovács B, Li B, Lubich C, Power Guerra CA. Convergence of finite elements on an evolving surface driven by diffusion on the surface. Numerische Mathematik. 2017;137(3):643-689. doi:10.1007/s00211-017-0888-4
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 45942
Kovács B, Lubich C. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numerische Mathematik. 2017;138(2):365-388. doi:10.1007/s00211-017-0909-3
LibreCat | DOI
 
[12]
2017 | Journal Article | LibreCat-ID: 45940
Kovács B, Lubich C. Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik. 2017;137(1):91-117. doi:10.1007/s00211-017-0868-8
LibreCat | DOI
 
[11]
2017 | Journal Article | LibreCat-ID: 45946
Kovács B, Power Guerra CA. Maximum norm stability and error estimates for the evolving surface finite element method. Numerical Methods for Partial Differential Equations. 2017;34(2):518-554. doi:10.1002/num.22212
LibreCat | DOI
 
[10]
2017 | Journal Article | LibreCat-ID: 45943
Kovács B. High-order evolving surface finite element method for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis. 2017;38(1):430-459. doi:10.1093/imanum/drx013
LibreCat | DOI
 
[9]
2016 | Journal Article | LibreCat-ID: 45944
Kovács B, Power Guerra CA. Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis. 2016;38(1):460-494. doi:10.1093/imanum/drw074
LibreCat | DOI
 
[8]
2016 | Journal Article | LibreCat-ID: 45936
Kovács B, Power Guerra CA. Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces. Numerical Methods for Partial Differential Equations. 2016;32(4):1200-1231. doi:10.1002/num.22047
LibreCat | DOI
 
[7]
2016 | Journal Article | LibreCat-ID: 45939
Kovács B, Li B, Lubich C. A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM Journal on Numerical Analysis. 2016;54(6):3600-3624. doi:10.1137/15m1040918
LibreCat | DOI
 
[6]
2016 | Journal Article | LibreCat-ID: 45937
Kovács B, Lubich C. Numerical analysis of parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2016;37(1):1-39. doi:10.1093/imanum/drw015
LibreCat | DOI
 
[5]
2016 | Conference Paper | LibreCat-ID: 45938
Karátson J, Kovács B. A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems. In: Mathematical Problems in Meteorological Modelling. ; 2016:57–70.
LibreCat
 
[4]
2015 | Dissertation | LibreCat-ID: 45973 | OA
Kovács B. Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations.; 2015. doi:10.15476/ELTE.2015.076
LibreCat | DOI | Download (ext.)
 
[3]
2014 | Journal Article | LibreCat-ID: 45934
Kovács B. On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. Applications of Mathematics. 2014;59(5):489-508. doi:10.1007/s10492-014-0068-0
LibreCat | DOI
 
[2]
2012 | Journal Article | LibreCat-ID: 45933
Karátson J, Kovács B. Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Computers & Mathematics with Applications. 2012;65(3):449-459. doi:10.1016/j.camwa.2012.04.021
LibreCat | DOI
 
[1]
2011 | Journal Article | LibreCat-ID: 45932
Kovács B. A comparison of some efficient numerical methods for a nonlinear elliptic problem. Central European Journal of Mathematics. 2011;10(1):217-230. doi:10.2478/s11533-011-0071-6
LibreCat | DOI
 

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Citation Style: AMA

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38 Publications

Mark all

[38]
2024 | Journal Article | LibreCat-ID: 53141
Edelmann D, Kovács B, Lubich C. Numerical analysis of an evolving bulk--surface model of tumour growth. arXiv. Published online 2024. doi:10.48550/ARXIV.2401.09372
LibreCat | DOI
 
[37]
2024 | Journal Article | LibreCat-ID: 45972
Kovács B. Numerical surgery for mean curvature flow of surfaces. SIAM Journal on Scientific Computing. 2024;46(2). doi:10.1137/22M1531919
LibreCat | DOI
 
[36]
2023 | Journal Article | LibreCat-ID: 45971
Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. Published online 2023. doi:10.1093/imanum/drad037
LibreCat | DOI
 
[35]
2023 | Journal Article | LibreCat-ID: 53140
Contri A, Kovács B, Massing A. Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. arXiv. Published online 2023. doi:10.48550/ARXIV.2312.05511
LibreCat | DOI
 
[34]
2022 | Journal Article | LibreCat-ID: 45970
Garcke H, Kovács B, Trautwein D. Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences. 2022;32(13):2673-2758. doi:10.1142/s0218202522500634
LibreCat | DOI
 
[33]
2022 | Journal Article | LibreCat-ID: 45969
Elliott CM, Garcke H, Kovács B. Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik. 2022;151(4):873-925. doi:10.1007/s00211-022-01301-3
LibreCat | DOI
 
[32]
2022 | Journal Article | LibreCat-ID: 45963
Nick J, Kovács B, Lubich C. Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik. 2022;150(4):1123-1164. doi:10.1007/s00211-022-01277-0
LibreCat | DOI
 
[31]
2022 | Journal Article | LibreCat-ID: 45964
Kovács B, Li B. Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. IMA Journal of Numerical Analysis. Published online 2022. doi:10.1093/imanum/drac033
LibreCat | DOI
 
[30]
2022 | Journal Article | LibreCat-ID: 45966
Altmann R, Kovács B, Zimmer C. Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2022;43(2):950-975. doi:10.1093/imanum/drac002
LibreCat | DOI
 
[29]
2022 | Journal Article | LibreCat-ID: 45968
Csomós P, Farkas B, Kovács B. Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. IMA Journal of Numerical Analysis. Published online 2022. doi:10.1093/imanum/drac079
LibreCat | DOI
 
[28]
2022 | Journal Article | LibreCat-ID: 45958
Beschle CA, Kovács B. Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. Numerische Mathematik. 2022;151(1):1-48. doi:10.1007/s00211-022-01280-5
LibreCat | DOI
 
[27]
2022 | Journal Article | LibreCat-ID: 45956
Bohn J, Feischl M, Kovács B. FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. Computational Methods in Applied Mathematics. 2022;23(1):19-48. doi:10.1515/cmam-2022-0145
LibreCat | DOI
 
[26]
2021 | Journal Article | LibreCat-ID: 45967
Binz T, Kovács B. A convergent finite element algorithm for mean curvature flow in higher codimension. arXiv. Published online 2021.
LibreCat
 
[25]
2021 | Journal Article | LibreCat-ID: 45962
Binz T, Kovács B. A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. IMA Journal of Numerical Analysis. 2021;42(3):2545-2588. doi:10.1093/imanum/drab043
LibreCat | DOI
 
[24]
2021 | Journal Article | LibreCat-ID: 45957
Harder P, Kovács B. Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2021;42(3):2589-2620. doi:10.1093/imanum/drab045
LibreCat | DOI
 
[23]
2021 | Journal Article | LibreCat-ID: 45961
Nick J, Kovács B, Lubich C. Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik. 2021;147(4):997-1000. doi:10.1007/s00211-021-01196-6
LibreCat | DOI
 
[22]
2020 | Journal Article | LibreCat-ID: 45953
Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis. 2020;41(1):638-728. doi:10.1093/imanum/drz073
LibreCat | DOI
 
[21]
2020 | Journal Article | LibreCat-ID: 45955
Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation. 2020;90(329):995-1038. doi:10.1090/mcom/3597
LibreCat | DOI
 
[20]
2020 | Journal Article | LibreCat-ID: 45952
Kovács B, Li B, Lubich C. A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. Interfaces and Free Boundaries. 2020;22(4):443-464. doi:10.4171/ifb/446
LibreCat | DOI
 
[19]
2019 | Journal Article | LibreCat-ID: 45948
Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik. 2019;143(4):797-853. doi:10.1007/s00211-019-01074-2
LibreCat | DOI
 
[18]
2018 | Habilitation | LibreCat-ID: 45974 | OA
Kovács B. Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces.; 2018.
LibreCat | Download (ext.)
 
[17]
2018 | Journal Article | LibreCat-ID: 45950
Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. IMA Journal of Numerical Analysis. 2018;40(2):1241-1265. doi:10.1093/imanum/dry086
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 45947
Kovács B, Lubich C. Linearly implicit full discretization of surface evolution. Numerische Mathematik. 2018;140(1):121-152. doi:10.1007/s00211-018-0962-6
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 45951
Kovács B. Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. Numerical Methods for Partial Differential Equations. 2018;35(3):1093-1112. doi:10.1002/num.22340
LibreCat | DOI
 
[14]
2017 | Journal Article | LibreCat-ID: 45941
Kovács B, Li B, Lubich C, Power Guerra CA. Convergence of finite elements on an evolving surface driven by diffusion on the surface. Numerische Mathematik. 2017;137(3):643-689. doi:10.1007/s00211-017-0888-4
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 45942
Kovács B, Lubich C. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numerische Mathematik. 2017;138(2):365-388. doi:10.1007/s00211-017-0909-3
LibreCat | DOI
 
[12]
2017 | Journal Article | LibreCat-ID: 45940
Kovács B, Lubich C. Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik. 2017;137(1):91-117. doi:10.1007/s00211-017-0868-8
LibreCat | DOI
 
[11]
2017 | Journal Article | LibreCat-ID: 45946
Kovács B, Power Guerra CA. Maximum norm stability and error estimates for the evolving surface finite element method. Numerical Methods for Partial Differential Equations. 2017;34(2):518-554. doi:10.1002/num.22212
LibreCat | DOI
 
[10]
2017 | Journal Article | LibreCat-ID: 45943
Kovács B. High-order evolving surface finite element method for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis. 2017;38(1):430-459. doi:10.1093/imanum/drx013
LibreCat | DOI
 
[9]
2016 | Journal Article | LibreCat-ID: 45944
Kovács B, Power Guerra CA. Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis. 2016;38(1):460-494. doi:10.1093/imanum/drw074
LibreCat | DOI
 
[8]
2016 | Journal Article | LibreCat-ID: 45936
Kovács B, Power Guerra CA. Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces. Numerical Methods for Partial Differential Equations. 2016;32(4):1200-1231. doi:10.1002/num.22047
LibreCat | DOI
 
[7]
2016 | Journal Article | LibreCat-ID: 45939
Kovács B, Li B, Lubich C. A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM Journal on Numerical Analysis. 2016;54(6):3600-3624. doi:10.1137/15m1040918
LibreCat | DOI
 
[6]
2016 | Journal Article | LibreCat-ID: 45937
Kovács B, Lubich C. Numerical analysis of parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2016;37(1):1-39. doi:10.1093/imanum/drw015
LibreCat | DOI
 
[5]
2016 | Conference Paper | LibreCat-ID: 45938
Karátson J, Kovács B. A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems. In: Mathematical Problems in Meteorological Modelling. ; 2016:57–70.
LibreCat
 
[4]
2015 | Dissertation | LibreCat-ID: 45973 | OA
Kovács B. Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations.; 2015. doi:10.15476/ELTE.2015.076
LibreCat | DOI | Download (ext.)
 
[3]
2014 | Journal Article | LibreCat-ID: 45934
Kovács B. On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. Applications of Mathematics. 2014;59(5):489-508. doi:10.1007/s10492-014-0068-0
LibreCat | DOI
 
[2]
2012 | Journal Article | LibreCat-ID: 45933
Karátson J, Kovács B. Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Computers & Mathematics with Applications. 2012;65(3):449-459. doi:10.1016/j.camwa.2012.04.021
LibreCat | DOI
 
[1]
2011 | Journal Article | LibreCat-ID: 45932
Kovács B. A comparison of some efficient numerical methods for a nonlinear elliptic problem. Central European Journal of Mathematics. 2011;10(1):217-230. doi:10.2478/s11533-011-0071-6
LibreCat | DOI
 

Search

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