Petr Knobloch
Orcid: 0000-0003-2709-5882
According to our database1,
Petr Knobloch
authored at least 27 papers
between 2002 and 2024.
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Bibliography
2024
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations.
SIAM Rev., February, 2024
Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model.
J. Comput. Phys., February, 2024
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations.
J. Comput. Phys., 2024
2023
An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes.
Numer. Algorithms, October, 2023
A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles.
Comput. Methods Appl. Math., October, 2023
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations.
SIAM J. Sci. Comput., August, 2023
A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part II.
J. Comput. Appl. Math., August, 2023
2022
Numerische Mathematik, 2022
Global existence of classical solutions and numerical simulations of a cancer invasion model.
CoRR, 2022
2021
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations.
Math. Comput., 2021
Importance of parameter optimization in a nonlinear stabilized method adding a crosswind diffusion.
J. Comput. Appl. Math., 2021
Appl. Math. Lett., 2021
2019
Adv. Comput. Math., 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
2018
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
Comput. Vis. Sci., 2018
2017
2016
2010
A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations.
SIAM J. Numer. Anal., 2010
Numerical Solution of Convection-Diffusion Equations Using a Nonlinear Method of Upwind Type.
J. Sci. Comput., 2010
2009
Kybernetika, 2009
Adv. Comput. Math., 2009
2007
On the performance of SOLD methods for convection-diffusion problems with interior layers.
Int. J. Comput. Sci. Math., 2007
2006
On the inf-sup Condition for the <i>P</i><sup><i>mod</i></sup><sub><i>3</i></sub> / <i>P</i><sup><i>disc</i></sup><sub><i>2</i></sub> Element.
Computing, 2006
2003
The <i>P</i><sub>1</sub><sup>mod</sup> Element: A New Nonconforming Finite Element for Convection-Diffusion Problems.
SIAM J. Numer. Anal., 2003
2002
Computing, 2002