Petr Knobloch

1.6k total citations
53 papers, 999 citations indexed

About

Petr Knobloch is a scholar working on Computational Mechanics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Petr Knobloch has authored 53 papers receiving a total of 999 indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Computational Mechanics, 32 papers in Numerical Analysis and 18 papers in Computational Theory and Mathematics. Recurrent topics in Petr Knobloch's work include Advanced Numerical Methods in Computational Mathematics (44 papers), Computational Fluid Dynamics and Aerodynamics (23 papers) and Numerical methods for differential equations (19 papers). Petr Knobloch is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (44 papers), Computational Fluid Dynamics and Aerodynamics (23 papers) and Numerical methods for differential equations (19 papers). Petr Knobloch collaborates with scholars based in Czechia, Germany and United Kingdom. Petr Knobloch's co-authors include Volker John, Gabriel R. Barrenechea, Lutz Tobiska, Vít Dolejší, Miloslav Feistauer, Julia Novo, Gert Lube, Gunar Matthies, P. Lukáš and Pavel Šolı́n and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

Petr Knobloch

50 papers receiving 938 citations

Peers

Petr Knobloch

CTM

SNP

Vít Dolejší Czechia

Gabriel R. Barrenechea United Kingdom

Friedhelm Schieweck Germany

Julia Novo Spain

Songül Kaya Türkiye

F.J. Lisbona Spain

Lutz Angermann Germany

Emmanuil H. Georgoulis United Kingdom

Abner J. Salgado United States

Vít Dolejší Czechia

Petr Knobloch

1.1k ×1.3

431 ×1.0

299 ×0.9

CTM

239 ×1.4

78 ×1.0

SNP

Citations per year, relative to Petr Knobloch Petr Knobloch (= 1×) peers Vít Dolejší

Countries citing papers authored by Petr Knobloch

Since Specialization

Citations

This map shows the geographic impact of Petr Knobloch's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Petr Knobloch with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Petr Knobloch more than expected).

Fields of papers citing papers by Petr Knobloch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Petr Knobloch. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Petr Knobloch. The network helps show where Petr Knobloch may publish in the future.

Co-authorship network of co-authors of Petr Knobloch

This figure shows the co-authorship network connecting the top 25 collaborators of Petr Knobloch. A scholar is included among the top collaborators of Petr Knobloch based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Petr Knobloch. Petr Knobloch is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Barrenechea, Gabriel R., Volker John, & Petr Knobloch. (2025). Monotone Discretizations for Elliptic Second Order Partial Differential Equations. 2 indexed citations

Knobloch, Petr, et al.. (2024). Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. Journal of Computational Physics. 518. 113305–113305. 1 indexed citations

Barrenechea, Gabriel R., Volker John, & Petr Knobloch. (2024). Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. SIAM Review. 66(1). 3–88. 19 indexed citations

John, Volker, et al.. (2023). A posteriori optimization of parameters in stabilized methods for convection–diffusion problems — Part II. Journal of Computational and Applied Mathematics. 428. 115167–115167. 3 indexed citations

Knobloch, Petr, et al.. (2023). Global existence of classical solutions and numerical simulations of a cancer invasion model. ESAIM. Mathematical modelling and numerical analysis. 57(4). 1893–1919. 4 indexed citations

Knobloch, Petr. (2023). An algebraically stabilized method for convection–diffusion–reaction problems with optimal experimental convergence rates on general meshes. Numerical Algorithms. 94(2). 547–580. 3 indexed citations

John, Volker & Petr Knobloch. (2020). Existence of solutions of a finite element flux-corrected-transport scheme. Applied Mathematics Letters. 115. 106932–106932. 3 indexed citations

John, Volker, et al.. (2020). On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Mathematics of Computation. 90(328). 595–611. 5 indexed citations

Barrenechea, Gabriel R., et al.. (2018). A unified analysis of algebraic flux correction schemes for convection–diffusion equations. SeMA Journal. 75(4). 655–685. 34 indexed citations

10.

John, Volker, et al.. (2016). Isogeometric analysis for flows around a cylinder. Applied Mathematics Letters. 63. 65–70. 6 indexed citations

11.

Knobloch, Petr. (2015). Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014. CERN Document Server (European Organization for Nuclear Research). 13 indexed citations

12.

Barrenechea, Gabriel R., Volker John, & Petr Knobloch. (2014). Some analytical results for an algebraic flux correction scheme for a steady convection–diffusion equation in one dimension. IMA Journal of Numerical Analysis. 35(4). 1729–1756. 11 indexed citations

13.

Knobloch, Petr. (2009). On a Variant of the Local Projection Method Stable in the SUPG Norm.. Kybernetika. 45(4). 634–645. 1 indexed citations

14.

Knobloch, Petr & Lutz Tobiska. (2009). On the stability of finite-element discretizations of convection-diffusion-reaction equations. IMA Journal of Numerical Analysis. 31(1). 147–164. 20 indexed citations

15.

Knobloch, Petr. (2008). On the definition of the SUPG parameter.. 32. 76–89. 15 indexed citations

16.

Knobloch, Petr. (2006). Reduced Finite Element Discretizations of the Stokes and Navier-Stokes Equations. Numerical Functional Analysis and Optimization. 27(2). 161–187.

17.

Knobloch, Petr. (2004). On the application of the P 1 mod element to incompressible flow problems. Computing and Visualization in Science. 6(4). 185–195. 5 indexed citations

18.

Knobloch, Petr & Lutz Tobiska. (2003). The P₁^mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems. SIAM Journal on Numerical Analysis. 41(2). 436–456. 28 indexed citations

19.

Knobloch, Petr. (2001). UNIFORM VALIDITY OF DISCRETE FRIEDRICHS' INEQUALITY FOR GENERAL NONCONFORMING FINITE ELEMENT SPACES. Numerical Functional Analysis and Optimization. 22(1-2). 107–126. 8 indexed citations

20.

Knobloch, Petr & Lutz Tobiska. (2000). Stabilization methods of bubble type for theQ₁/Q₁-element applied to the incompressible Navier-Stokes equations. ESAIM Mathematical Modelling and Numerical Analysis. 34(1). 85–107. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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