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.

J. Kuhnert, I. Michel and R. Mack
Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applications.
In: M. Griebel and A. M. Schweitzer, editors, Meshfree Methods for Partial Differential Equations IX, Vol. 129, pages 73–92.
Cham Springer International Publishing, 2019.

____________________________

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 Springer International Publishing, 2015.

____________________________

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.

____________________________

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

____________________________

I. Michel, I. Bathaeian, J. Kuhnert, D. Kolymbas, C.-H. Chen, I. Polymerou, C. Vrettos and A. Becker 
Meshfree generalized finite difference methods in soil mechanics - part II: numerical results.
In: International Journal on Geomathematics, 2017.

____________________________

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

____________________________

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

____________________________

F. Nick, H.-J. Plum and J. Kuhnert
Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method. 
In: M. Griebel and A. M. Schweitzer, M.A. editors, Meshfree Methods for Partial Differential Equations IX, Vol. 129, pages 93–115.
Cham Springer International Publishing, 2019.

____________________________

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

____________________________

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

____________________________

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.

____________________________

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

____________________________

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.
Springer Berlin Heidelberg, 2003.

____________________________

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

____________________________

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

____________________________

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

____________________________

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

______________________________

E. Reséndiz-Flores, J. Kuhnert and F. Saucedo-Zendejo
Application of a generalized finite difference method to mould filling process.
In: European Journal of Applied Mathematics, pages 1–20, 2017.

____________________________

E. Uhlmann, R. Gerstenberger, M. Graf von der Schulenburg, J. Kuhnert and A. Mattes
The finite-pointset-method for the meshfree numerical simulation of chip formation.
In: Proceedings of the 12th CIRP Conference on Modeling of Machining Operations, vol. 1, page 145. 2009.