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Petr Knobloch
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2020 – today
- 2024
- [j25]Shahin Heydari
, Petr Knobloch, Thomas Wick:
Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model. J. Comput. Phys. 499: 112711 (2024) - [j24]Petr Knobloch
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. J. Comput. Phys. 518: 113305 (2024) - [j23]Gabriel R. Barrenechea, Volker John
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. SIAM Rev. 66(1): 3-88 (2024) - [i6]Petr Knobloch, Dmitri Kuzmin, Abhinav Jha:
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. CoRR abs/2401.03964 (2024) - 2023
- [j22]Volker John
A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles. Comput. Methods Appl. Math. 23(4): 969-988 (2023) - [j21]Volker John
A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part II. J. Comput. Appl. Math. 428: 115167 (2023) - [j20]Petr Knobloch
An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes. Numer. Algorithms 94(2): 547-580 (2023) - [j19]Abhinav Jha
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 45(4): 564- (2023) - [i5]Shahin Heydari, Petr Knobloch, Thomas Wick:
Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model. CoRR abs/2307.08096 (2023) - 2022
- [j18]Volker John
On algebraically stabilized schemes for convection-diffusion-reaction problems. Numerische Mathematik 152(3): 553-585 (2022) - [i4]Gabriel R. Barrenechea, Volker John, Petr Knobloch:
Finite element methods respecting the discrete maximum principle for convection-diffusion equations. CoRR abs/2204.07480 (2022) - [i3]Mario Fuest, Shahin Heydari, Petr Knobloch, Johannes Lankeit, Thomas Wick:
Global existence of classical solutions and numerical simulations of a cancer invasion model. CoRR abs/2205.08168 (2022) - [i2]Petr Knobloch:
An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes. CoRR abs/2208.07705 (2022) - 2021
- [j17]Volker John
Existence of solutions of a finite element flux-corrected-transport scheme. Appl. Math. Lett. 115: 106932 (2021) - [j16]Petr Knobloch
Importance of parameter optimization in a nonlinear stabilized method adding a crosswind diffusion. J. Comput. Appl. Math. 393: 113527 (2021) - [j15]Volker John, Petr Knobloch
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Math. Comput. 90(328): 595-611 (2021) - [i1]Volker John, Petr Knobloch:
On algebraically stabilized schemes for convection-diffusion-reaction problems. CoRR abs/2111.08697 (2021)
2010 – 2019
- 2019
- [j14]Petr Knobloch
On error indicators for optimizing parameters in stabilized methods. Adv. Comput. Math. 45(4): 1853-1862 (2019) - [c1]Petr Knobloch
A New Algebraically Stabilized Method for Convection-Diffusion-Reaction Equations. ENUMATH 2019: 605-613 - 2018
- [j13]Petr Lukás
Adaptive techniques in SOLD methods. Appl. Math. Comput. 319: 24-30 (2018) - [j12]Volker John, Petr Knobloch
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? Comput. Vis. Sci. 19(5-6): 47-63 (2018) - 2017
- [j11]Jannis Bulling
Isogeometric analysis for flows around a cylinder. Appl. Math. Lett. 63: 65-70 (2017) - 2016
- [j10]Gabriel R. Barrenechea
Analysis of Algebraic Flux Correction Schemes. SIAM J. Numer. Anal. 54(4): 2427-2451 (2016) - 2010
- [j9]Petr Knobloch
Numerical Solution of Convection-Diffusion Equations Using a Nonlinear Method of Upwind Type. J. Sci. Comput. 43(3): 454-470 (2010) - [j8]Petr Knobloch
A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 48(2): 659-680 (2010)
2000 – 2009
- 2009
- [j7]Petr Knobloch
On the choice of the SUPG parameter at outflow boundary layers. Adv. Comput. Math. 31(4): 369-389 (2009) - [j6]Michal Benes, Petr Knobloch, Tohru Tsujikawa, Shigetoshi Yazaki:
Czech-Japanese Seminar in Applied Mathematics 2008. Kybernetika 45(4): 565-566 (2009) - [j5]Petr Knobloch:
On a Variant of the Local Projection Method Stable in the SUPG Norm. Kybernetika 45(4): 634-645 (2009) - 2007
- [j4]Volker John, Petr Knobloch
On the performance of SOLD methods for convection-diffusion problems with interior layers. Int. J. Comput. Sci. Math. 1(2/3/4): 245-258 (2007) - 2006
- [j3]Petr Knobloch
On the inf-sup Condition for the Pmod3 / Pdisc2 Element. Computing 76(1-2): 41-54 (2006) - 2003
- [j2]Petr Knobloch
The P1mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems. SIAM J. Numer. Anal. 41(2): 436-456 (2003) - 2002
- [j1]Volker John, Petr Knobloch
Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. Computing 68(4): 313-341 (2002)
Coauthor Index
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