Publications

MESHFREE combines the Finite Pointset Method (FPM) with the scalable as well as robust linear solvers of the SAMG library in an optimal way.

A. Jefferies, J. Kuhnert, L. Aschenbrenner, and U. Giffhorn.
Finite pointset method for the simulation of a vehicle travelling through a body of water.
In M. Griebel and A. M. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, pages 205–221, Cham, 2015. Springer International Publishing.

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J. Kuhnert.
Meshfree numerical scheme for time dependent problems in fluid and continuum mechanics.
In S. Sundar, editor, Advances in PDE Modeling and Computation, pages 119–136. Anne Books, 2014.

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C. Drumm, S. Tiwari, J. Kuhnert, and H.-J. Bart.
Finite pointset method for simulation of the liquid - liquid flow field in an extractor.
Computers & Chemical Engineering, 32(12):2946 – 2957, 2008.

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I. Michel, I. Bathaeian, J. Kuhnert, D. Kolymbas, C.-H. Chen, I. Polymerou, C. Vrettos, A. Becker (2017).
Meshfree generalized finite difference methods in soil mechanics - part II: numerical results. International Journal on Geomathematics, doi: 10.1007/s13137-017-0096-5.

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I. Ostermann, J. Kuhnert, D. Kolymbas, C.-H. Chen, I. Polymerou, V. Smilauer, C. Vrettos, D. Chen (2013).
Meshfree generalized finite difference methods in soil mechanics - part I: theory. International Journal on Geomathematics, 4:167-184.

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K. Stüben: An introduction to algebraic multigrid.
In: U. Trottenberg, C.W. Oosterlee, A. Schüller (eds.) Multigrid, pp. 413-532. Academic Press (2000)

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B. Metsch, F. Nick, and J. Kuhnert.
Algebraic multigrid for the finite pointset method. Submitted to Computing and Visualization in Science, 2017.

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A. Möller and J. Kuhnert.
Simulation of the glass flow inside a floating process / Simulation de l'écoulement du verre dans le procédé float.
Revue Verre, 13(5):28--30, 2007.

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A. Tramecon and J. Kuhnert.
Simulation of advanced folded airbags with VPS-PAMCRASH/FPM: Development and
validation of turbulent flow numerical simulation techniques applied to curtain bag deployments.
In SAE Technical Paper. SAE International, 2013.

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J. Kuhnert.
General Smoothed Particle Hydrodynamics.
PhD thesis, Kaiserslautern University, 1999.

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J. Kuhnert.
An upwind finite pointset method (FPM) for compressible euler and navier-stokes equations.
In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations, pages 239–249, Berlin, Heidelberg, 2003. Springer Berlin Heidelberg.

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S. Tiwari, J. Kuhnert.
Modeling of two-phase flows with surface tension by Finite Pointset Method (FPM).
J. Comput. Appl. Math.. 203, 376-386. 2007

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P. Suchde, J. Kuhnert, S. Schröder, A. Klar.
A flux-conserving meshfree method for conservation laws.
International Journal for Numerical Methods in Engineering. 112(3) : 238-256. 2017.  

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P. Suchde, J. Kuhnert, S. Tiwari.
On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations.
Computers & Fluids. 165: 1-12. 2018.

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P. Suchde, J. Kuhnert.
Point cloud movement for fully Lagrangian meshfree methods.
Journal of Computational and Applied Mathematics. 340: 89-100. 2018.

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E. RESÉNDIZ-FLORES, J. KUHNERT and F. SAUCEDO-ZENDEJO.
Application of a generalized finite difference method to mould filling process.
2017, European Journal of Applied Mathematics, 1-20.
doi:10.1017/S0956792517000249