Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. - Volker John; Petr Knobloch; Gunar Matthies; Lutz Tobiska (Computing, 2002)

The P1mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems. - Petr Knobloch; Lutz Tobiska (SIAM J. Numer. Anal., 2003)

On the inf-sup Condition for the Pmod3 / Pdisc2 Element. - Petr Knobloch (Computing, 2006)

On the performance of SOLD methods for convection-diffusion problems with interior layers. - Volker John; Petr Knobloch (Int. J. Comput. Sci. Math., 2007)

On the choice of the SUPG parameter at outflow boundary layers. - Petr Knobloch (Adv. Comput. Math., 2009)

Czech-Japanese Seminar in Applied Mathematics 2008. - Michal Benes; Petr Knobloch; Tohru Tsujikawa; Shigetoshi Yazaki (Kybernetika, 2009)

On a Variant of the Local Projection Method Stable in the SUPG Norm. - Petr Knobloch (Kybernetika, 2009)

Numerical Solution of Convection-Diffusion Equations Using a Nonlinear Method of Upwind Type. - Petr Knobloch (J. Sci. Comput., 2010)

A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations. - Petr Knobloch (SIAM J. Numer. Anal., 2010)

Analysis of Algebraic Flux Correction Schemes. - Gabriel R. Barrenechea; Volker John; Petr Knobloch (SIAM J. Numer. Anal., 2016)

Isogeometric analysis for flows around a cylinder. - Jannis Bulling; Volker John; Petr Knobloch (Appl. Math. Lett., 2017)

Adaptive techniques in SOLD methods. - Petr Lukás; Petr Knobloch (Appl. Math. Comput., 2018)

Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? - Volker John; Petr Knobloch; Julia Novo (Comput. Vis. Sci., 2018)

A New Algebraically Stabilized Method for Convection-Diffusion-Reaction Equations. - Petr Knobloch (ENUMATH, 2019)

On error indicators for optimizing parameters in stabilized methods. - Petr Knobloch; Petr Lukás; Pavel Solín (Adv. Comput. Math., 2019)

Existence of solutions of a finite element flux-corrected-transport scheme. - Volker John; Petr Knobloch (Appl. Math. Lett., 2021)

Importance of parameter optimization in a nonlinear stabilized method adding a crosswind diffusion. - Petr Knobloch; Petr Lukás; Pavel Solín (J. Comput. Appl. Math., 2021)

On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. - Volker John; Petr Knobloch; Paul Korsmeier (Math. Comput., 2021)

Global existence of classical solutions and numerical simulations of a cancer invasion model. - Mario Fuest; Shahin Heydari; Petr Knobloch; Johannes Lankeit; Thomas Wick (CoRR, 2022)

On algebraically stabilized schemes for convection-diffusion-reaction problems. - Volker John; Petr Knobloch (Numerische Mathematik, 2022)

A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part II. - Volker John; Petr Knobloch; Ulrich Wilbrandt (J. Comput. Appl. Math., 2023)

Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations. - Abhinav Jha; Volker John; Petr Knobloch (SIAM J. Sci. Comput., 2023)

A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles. - Volker John; Petr Knobloch; Ondrej Pártl (Comput. Methods Appl. Math., 2023)

An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes. - Petr Knobloch (Numer. Algorithms, 2023)

Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. - Petr Knobloch; Dmitri Kuzmin; Abhinav Jha (J. Comput. Phys., 2024)

Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model. - Shahin Heydari; Petr Knobloch; Thomas Wick (J. Comput. Phys., 2024)

Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. - Gabriel R. Barrenechea; Volker John; Petr Knobloch (SIAM Rev., 2024)

On adaptive anisotropic mesh optimization for convection-diffusion problems. - Petr Knobloch; René Schneider (J. Comput. Appl. Math., 2025)

On positivity preservation of hybrid discontinuous Galerkin methods on hypergraphs. - Petr Knobloch; Philip L. Lederer; Andreas Rupp (CoRR, 2025)