Asymptotic analysis of the lattice Boltzmann equation. Zbl 1079.82013
Junk, Michael; Klar, Axel; Luo, Li-Shi |
|
2005
|
Derivation of continuum traffic flow models from microscopic follow-the-leader models. Zbl 1023.35063
Aw, A.; Klar, A.; Materne, T.; Rascle, M. |
|
2002
|
Gas flow in pipeline networks. Zbl 1108.76063
Banda, Mapundi K.; Herty, Michael; Klar, Axel |
|
2006
|
An asymptotic-induced scheme for nonstationary transport equations in the diffusive limit. Zbl 0918.65091
Klar, Axel |
|
1998
|
Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052
Banda, Mapundi K.; Herty, Michael; Klar, Axel |
|
2006
|
Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications. Zbl 1016.65105
Larsen, Edward W.; Thömmes, Guido; Klar, Axel; Seaïd, Mohammed; Götz, Thomas |
|
2002
|
Self-propelled interacting particle systems with roosting force. Zbl 1197.92052
Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan |
|
2010
|
Enskog-like kinetic models for vehicular traffic. Zbl 0917.90124
Klar, A.; Wegener, R. |
|
1997
|
Optimal control for traffic flow networks. Zbl 1079.49024
Gugat, M.; Herty, M.; Klar, A.; Leugering, G. |
|
2005
|
Numerical methods and optimal control for glass cooling processes. Zbl 1011.80003
Thömmes, G.; Pinnau, R.; Seaïd, M.; Götz, Th.; Klar, A. |
|
2002
|
Modeling, simulation, and optimization of traffic flow networks. Zbl 1046.90014
Herty, M.; Klar, A. |
|
2003
|
Half-moment closure for radiative transfer equations. Zbl 1143.85301
Dubroca, B.; Klar, A. |
|
2002
|
Efficient numerical methods for radiation in gas turbines. Zbl 1221.80023
Seaïd, M.; Frank, M.; Klar, A.; Pinnau, R.; Thömmes, G. |
|
2004
|
Congestion on multilane highways. Zbl 1024.35064
Greenberg, J. M.; Klar, A.; Rascle, M. |
|
2003
|
Kinetic derivation of macroscopic anticipation models for vehicular traffic. Zbl 0953.90007
Klar, Axel; Wegener, Raimund |
|
2000
|
Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer. Zbl 1128.65107
Frank, Martin; Klar, Axel; Larsen, Edward W.; Yasuda, Shugo |
|
2007
|
Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A. |
|
2005
|
Numerical passage from radiative heat transfer to nonlinear diffusion models. Zbl 1012.82016
Klar, A.; Schmeiser, C. |
|
2001
|
Partial moment entropy approximation to radiative heat transfer. Zbl 1104.65124
Frank, Martin; Dubroca, Bruno; Klar, Axel |
|
2006
|
A hierarchy of models for multilane vehicular traffic. I: Modeling. Zbl 1009.90019
Klar, Axel; Wegener, Raimund |
|
1999
|
An adaptive domain decomposition procedure for Boltzmann and Euler equations. Zbl 0940.76070
Tiwari, S.; Klar, A. |
|
1998
|
Mathematical models for vehicular traffic. Zbl 0859.90070
Klar, Axel; Kühne, Reinhart D.; Wegener, Raimund |
|
1996
|
Asymptotic-induced domain decomposition methods for kinetic and drift diffusion semiconductor equations. Zbl 0918.65090
Klar, Axel |
|
1998
|
Radiation models for thermal flows at low Mach number. Zbl 1099.76056
Teleaga, Ioan; Seaïd, Mohammed; Gasser, Ingenuin; Klar, Axel; Struckmeier, Jens |
|
2006
|
An asymptotic preserving numerical scheme for kinetic equations in the low Mach number limit. Zbl 0939.76065
Klar, Axel |
|
1999
|
Vlasov-Fokker-Planck models for multilane traffic flow. Zbl 1153.82335
Illner, Reinhard; Klar, Axel; Materne, Thorsten |
|
2003
|
A particle-particle hybrid method for kinetic and continuum equations. Zbl 1175.82049
Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen |
|
2009
|
The scalar Keller-Segel model on networks. Zbl 1321.92042
Borsche, R.; Göttlich, S.; Klar, A.; Schillen, P. |
|
2014
|
Coupling traffic flow networks to pedestrian motion. Zbl 1279.90035
Borsche, R.; Klar, A.; Kühn, S.; Meurer, A. |
|
2014
|
Existence of solutions for supply chain models based on partial differential equations. Zbl 1165.90356
Herty, M.; Klar, A.; Piccoli, B. |
|
2007
|
A stability notion for lattice Boltzmann equations. Zbl 1100.76051
Banda, M. K.; Yong, W.-A.; Klar, A. |
|
2006
|
Modelling and optimization of supply chains on complex networks. Zbl 1115.90009
Göttlich, S.; Herty, M.; Klar, A. |
|
2006
|
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Zbl 1278.82044
Dolbeault, Jean; Klar, Axel; Mouhot, Clément; Schmeiser, Christian |
|
2013
|
Boundary layers and domain decomposition for radiative heat transfer and diffusion equations: Applications to glass manufacturing process. Zbl 0927.45004
Klar, A.; Siedow, N. |
|
1998
|
Discretizations for the incompressible Navier-Stokes equations based on the lattice Boltzmann method. Zbl 0972.76083
Junk, Michael; Klar, Axel |
|
2000
|
Higher order mixed-moment approximations for the Fokker-Planck equation in one space dimension. Zbl 1307.35301
Schneider, Florian; Alldredge, Graham; Frank, Martin; Klar, Axel |
|
2014
|
Particle methods for Pedestrian flow models: from microscopic to nonlocal continuum models. Zbl 1298.90019
Etikyala, R.; Göttlich, S.; Klar, A.; Tiwari, S. |
|
2014
|
A fast and accurate moment method for the Fokker–Planck equation and applications to electron radiotherapy. Zbl 1123.78011
Frank, Martin; Hensel, Hartmut; Klar, Axel |
|
2007
|
Combinatorial and continuous models for the optimization of traffic flows on networks. Zbl 1131.90015
Fügenschuh, A.; Herty, M.; Klar, A.; Martin, A. |
|
2006
|
A discrete optimization approach to large scale supply networks based on partial differential equations. Zbl 1161.90002
Fügenschuh, A.; Göttlich, S.; Herty, M.; Klar, A.; Martin, A. |
|
2008
|
A numerical method for kinetic semiconductor equations in the drift-diffusion limit. Zbl 0930.65100
Klar, Axel |
|
1999
|
Multigroup half space moment approximations to the radiative heat transfer equations. Zbl 1053.65101
Turpault, R.; Frank, M.; Dubroca, B.; Klar, A. |
|
2004
|
A kinetic model for vehicular traffic derived from a stochastic microscopic model. Zbl 1467.82077
Wegener, R.; Klar, A. |
|
1996
|
Numerical solvers for radiation and conduction in high temperature gas flows. Zbl 1331.80018
Seaïd, Mohammed; Klar, Axel; Pinnau, René |
|
2005
|
Higher-order models for glioma invasion: from a two-scale description to effective equations for mass density and momentum. Zbl 1411.92034
Corbin, G.; Hunt, A.; Klar, A.; Schneider, F.; Surulescu, C. |
|
2018
|
A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems. Zbl 1081.82618
Golse, François; Klar, Axel |
|
1995
|
Transition from kinetic theory to macroscopic fluid equations: A problem for domain decomposition and a source for new algorithms. Zbl 0956.82023
Klar, A.; Neunzert, H.; Struckmeier, J. |
|
2000
|
Optimal control of glass cooling using simplified \(P_N\) theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René |
|
2010
|
Optimal control for continuous supply network models. Zbl 1131.90009
Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel |
|
2006
|
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika |
|
2012
|
A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes. Zbl 1127.37041
Götz, T.; Klar, A.; Marheineke, N.; Wegener, R. |
|
2007
|
Domain decomposition for kinetic problems with nonequilibrium states. Zbl 0863.76074
Klar, Axel |
|
1996
|
A class of multi-phase traffic theories for microscopic kinetic and continuum traffic models. Zbl 1268.90012
Borsche, Raul; Kimathi, Mark; Klar, Axel |
|
2012
|
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. Zbl 1473.92007
Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan |
|
2021
|
A nonlinear discrete velocity relaxation model for traffic flow. Zbl 1400.90089
Borsche, R.; Klar, A. |
|
2018
|
A flux conserving meshfree method for conservation laws. Zbl 07867140
Suchde, Pratik; Kuhnert, Jörg; Schröder, Simon; Klar, Axel |
|
2017
|
Efficient preconditioning of linear systems arising from the discretization of radiative transfer equation. Zbl 1043.65068
Seaïd, Mohammed; Klar, Axel |
|
2003
|
A half space moment approximation to the radiative heat transfer equations. Zbl 1103.80300
Dubroca, B.; Frank, M.; Klar, A.; Thömmes, G. |
|
2003
|
Hierarchy of mathematical models for production processes of technical textiles. Zbl 1230.74076
Klar, Axel; Marheineke, Nicole; Wegener, Raimund |
|
2009
|
Numerical simulation of a moving rigid body in a rarefied gas. Zbl 1349.76788
Shrestha, Samir; Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen |
|
2015
|
New frequency-averaged approximations to the equations of radiative heat transfer. Zbl 1126.85301
Larsen, Edward W.; Thömmes, Guido; Klar, Axel |
|
2003
|
Uniform stability of a finite difference scheme for transport equations in diffusive regimes. Zbl 1050.82036
Klar, A.; Unterreiter, A. |
|
2002
|
Disease contagion models coupled to crowd motion and mesh-free simulation. Zbl 1498.92188
Abdul Salam, Parveena Shamim; Bock, Wolfgang; Klar, Axel; Tiwari, Sudarshan |
|
2021
|
Complex material flow problems: a multi-scale model hierarchy and particle methods. Zbl 1360.76340
Göttlich, S.; Klar, A.; Tiwari, S. |
|
2015
|
Kinetic and related macroscopic models for chemotaxis on networks. Zbl 1336.92013
Borsche, R.; Kall, J.; Klar, A.; Pham, T. N. H. |
|
2016
|
Simplified dynamics and optimization of large scale traffic networks. Zbl 1077.90012
Herty, Michael; Klar, Axel |
|
2004
|
Compressible and incompressible limits for hyperbolic systems with relaxation. Zbl 1058.76035
Banda, M. K.; Seaïd, M.; Klar, A.; Pareschi, L. |
|
2004
|
A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method. Zbl 1169.76050
Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. |
|
2009
|
Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker-Planck equations. Zbl 1306.82012
Klar, Axel; Schneider, Florian; Tse, Oliver |
|
2014
|
A hierarchy of models for multilane vehicular traffic. II: Numerical investigations. Zbl 1009.90020
Klar, Axel; Wegener, Raimund |
|
1999
|
A multiscale meshfree method for macroscopic approximations of interacting particle systems. Zbl 1317.82029
Klar, A.; Tiwari, S. |
|
2014
|
Kinetic layers and coupling conditions for nonlinear scalar equations on networks. Zbl 1391.82025
Borsche, R.; Klar, A. |
|
2018
|
Particle methods for multi-group pedestrian flow. Zbl 1480.90092
Mahato, N. K.; Klar, A.; Tiwari, S. |
|
2018
|
Ergodicity and rate of convergence for a nonsectorial fiber lay-down process. Zbl 1235.82054
Grothaus, Martin; Klar, Axel |
|
2008
|
Single to double mill small noise transition via semi-Lagrangian finite volume methods. Zbl 1348.92171
Carrillo, José A.; Klar, Axel; Roth, Andreas |
|
2016
|
Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions. Zbl 1382.65257
Ritter, Juliane; Klar, Axel; Schneider, Florian |
|
2016
|
Kinetic layers and coupling conditions for macroscopic equations on networks I: the wave equation. Zbl 1394.82008
Borsche, R.; Klar, A. |
|
2018
|
A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics. Zbl 1203.65211
Klar, Axel; Reuterswärd, Philip; Seaïd, Mohammed |
|
2009
|
A 3D model for fiber lay-down in nonwoven production processes. Zbl 1248.37046
Klar, Axel; Maringer, Johannes; Wegener, Raimund |
|
2012
|
Instantaneous control for traffic flow. Zbl 1117.90030
Herty, M.; Kirchner, C.; Klar, A. |
|
2007
|
Numerical evidence for the non-existence of stationary solutions of the equations describing rotational fiber spinning. Zbl 1184.34055
Götz, Thomas; Klar, Axel; Unterreiter, Andreas; Wegener, Raimund |
|
2008
|
Hydrodynamic limit of a Fokker-Planck equation describing fiber lay-down processes. Zbl 1140.37015
Bonilla, L. L.; Götz, T.; Klar, A.; Marheineke, N.; Wegener, R. |
|
2008
|
Smoothed penalty algorithms for optimization of nonlinear models. Zbl 1181.90222
Herty, M.; Klar, A.; Singh, A. K.; Spellucci, P. |
|
2007
|
Relaxation scheme for a lattice-Boltzmann-type discrete velocity model and numerical Navier-Stokes limit. Zbl 0931.76074
Klar, Axel |
|
1999
|
Discontinuous conservation laws for production networks with finite buffers. Zbl 1273.90074
Göttlich, Simone; Klar, Axel; Schindler, Patrick |
|
2013
|
Coupled solution of the Boltzmann and Navier-Stokes equations in gas-liquid two phase flow. Zbl 1365.76322
Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen; Donkov, Alexander |
|
2013
|
Traffic flow: models and numerics. Zbl 1203.90048
Klar, Axel; Wegener, Raimund |
|
2004
|
Multivalued fundamental diagrams and stop and go waves for continuum traffic flow equations. Zbl 1126.90314
Günther, Marco; Klar, Axel; Materne, Thorsten; Wegener, Raimund |
|
2003
|
General kinetic models for vehicular traffic flows and Monte-Carlo methods. Zbl 1114.90011
Herty, M.; Klar, A.; Pareschi, L. |
|
2005
|
A smooth 3D model for fiber lay-down in nonwoven production processes. Zbl 1259.37032
Klar, Axel; Maringer, Johannes; Wegener, Raimund |
|
2012
|
Kinetic-controlled hydrodynamics for multilane traffic models. Zbl 1515.90042
Borsche, Raul; Klar, Axel; Zanella, Mattia |
|
2022
|
Long time behavior of nonlinear stochastic oscillators: The one- dimensional Hamiltonian case. Zbl 0808.60060
Albeverio, S.; Klar, A. |
|
1994
|
Convergence of alternating domain decomposition schemes for kinetic and aerodynamic equations. Zbl 0827.76057
Klar, Axel |
|
1995
|
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. Zbl 1040.76047
Klar, A.; Pareschi, L.; Seaid, M. |
|
2003
|
Kinetic traffic models. Zbl 0971.90013
Klar, Axel; Wegener, Raimund |
|
2000
|
An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations. Zbl 0994.90022
Günther, M.; Klar, A.; Materne, T.; Wegener, R. |
|
2002
|
A kinetic model for vehicular traffic: Existence of stationary solutions. Zbl 0951.90013
Illner, R.; Klar, A.; Lange, H.; Unterreiter, A.; Wegener, R. |
|
1999
|
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries. Zbl 07527715
Tiwari, Sudarshan; Klar, Axel; Russo, Giovanni |
|
2022
|
GPU computing for meshfree particle method. Zbl 1463.65452
Panchatcharam, M.; Sundar, S.; Vetrivel, V.; Klar, A.; Tiwari, S. |
|
2013
|
Optimal control of district heating networks using a reduced order model. Zbl 1469.93044
Rein, Markus; Mohring, Jan; Damm, Tobias; Klar, Axel |
|
2020
|
A hierarchy of kinetic discrete-velocity models for traffic flow derived from a nonlocal Prigogine-Herman model. Zbl 1533.90035
Borsche, R.; Klar, A. |
|
2024
|
Moment methods for kinetic traffic flow and a class of macroscopic traffic models. Zbl 07880939
Borsche, Raul; Klar, Axel |
|
2024
|
A numerical investigation of pedestrian dynamics based on rational behaviour in different density scenarios. Zbl 07715794
Abdul Salam, P. S.; Tiwari, S.; Klar, A.; Sundar, S. |
|
2023
|
Kinetic-controlled hydrodynamics for multilane traffic models. Zbl 1515.90042
Borsche, Raul; Klar, Axel; Zanella, Mattia |
|
2022
|
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries. Zbl 07527715
Tiwari, Sudarshan; Klar, Axel; Russo, Giovanni |
|
2022
|
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. Zbl 1473.92007
Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan |
|
2021
|
Disease contagion models coupled to crowd motion and mesh-free simulation. Zbl 1498.92188
Abdul Salam, Parveena Shamim; Bock, Wolfgang; Klar, Axel; Tiwari, Sudarshan |
|
2021
|
Model order reduction of hyperbolic systems focusing on district heating networks. Zbl 1472.93019
Rein, Markus; Mohring, Jan; Damm, Tobias; Klar, Axel |
|
2021
|
Modelling and simulations of moving droplet in a rarefied gas. Zbl 1490.35124
Tiwari, Sudarshan; Klar, Axel; Russo, Giovanni |
|
2021
|
Optimal control of district heating networks using a reduced order model. Zbl 1469.93044
Rein, Markus; Mohring, Jan; Damm, Tobias; Klar, Axel |
|
2020
|
Low-Mach-number and slenderness limit for elastic Cosserat rods and its numerical investigation. Zbl 1465.35372
Baus, Franziska; Klar, Axel; Marheineke, Nicole; Wegener, Raimund |
|
2020
|
Interaction of rigid body motion and rarefied gas dynamics based on the BGK model. Zbl 1490.76188
Tiwari, Sudarshan; Klar, Axel; Russo, Giovanni |
|
2020
|
Drag force on spherical particle moving near a plane wall in highly rarefied gas. Zbl 1430.76418
Goswami, P.; Baier, T.; Tiwari, S.; Lv, C.; Hardt, S.; Klar, A. |
|
2020
|
A numerical comparison of the method of moments for the population balance equation. Zbl 1540.82008
Müller, Laura; Klar, Axel; Schneider, Florian |
|
2019
|
A multiscale particle method for mean field equations: the general case. Zbl 1412.82025
Klar, Axel; Tiwari, Sudarshan |
|
2019
|
Stability preserving model order reduction for district heating networks. Zbl 1469.80008
Rein, Markus; Mohring, Jan; Damm, Tobias; Klar, Axel |
|
2019
|
Kinetic and moment models for cell motion in fiber structures. Zbl 1453.92046
Borsche, Raul; Klar, Axel; Schneider, Florian |
|
2019
|
Higher-order models for glioma invasion: from a two-scale description to effective equations for mass density and momentum. Zbl 1411.92034
Corbin, G.; Hunt, A.; Klar, A.; Schneider, F.; Surulescu, C. |
|
2018
|
A nonlinear discrete velocity relaxation model for traffic flow. Zbl 1400.90089
Borsche, R.; Klar, A. |
|
2018
|
Kinetic layers and coupling conditions for nonlinear scalar equations on networks. Zbl 1391.82025
Borsche, R.; Klar, A. |
|
2018
|
Particle methods for multi-group pedestrian flow. Zbl 1480.90092
Mahato, N. K.; Klar, A.; Tiwari, S. |
|
2018
|
Kinetic layers and coupling conditions for macroscopic equations on networks I: the wave equation. Zbl 1394.82008
Borsche, R.; Klar, A. |
|
2018
|
A meshfree particle method for a vision-based macroscopic pedestrian model. Zbl 1397.65217
Mahato, N. K.; Klar, A.; Tiwari, S. |
|
2018
|
Numerical methods for mean-field and moment models for pedestrian flow. Zbl 1410.91377
Borsche, Raul; Klar, Axel; Schneider, Florian |
|
2018
|
A flux conserving meshfree method for conservation laws. Zbl 07867140
Suchde, Pratik; Kuhnert, Jörg; Schröder, Simon; Klar, Axel |
|
2017
|
Design optimization in periodic structural plates under the constraint of anisotropy. Zbl 07775414
Hauck, Michael; Klar, Axel; Orlik, Julia |
|
2017
|
Nonlinear flux-limited models for chemotaxis on networks. Zbl 1376.92011
Borsche, Raul; Klar, Axel; Pham, T. N. Ha |
|
2017
|
A numerical investigation of flux-limited approximations for pedestrian dynamics. Zbl 1365.90096
Müller, L.; Meurer, A.; Schneider, F.; Klar, A. |
|
2017
|
Trend to equilibrium for a delay Vlasov-Fokker-Planck equation and explicit decay estimates. Zbl 1377.35024
Klar, Axel; Kreusser, Lisa; Tse, Oliver |
|
2017
|
Kinetic and related macroscopic models for chemotaxis on networks. Zbl 1336.92013
Borsche, R.; Kall, J.; Klar, A.; Pham, T. N. H. |
|
2016
|
Single to double mill small noise transition via semi-Lagrangian finite volume methods. Zbl 1348.92171
Carrillo, José A.; Klar, Axel; Roth, Andreas |
|
2016
|
Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions. Zbl 1382.65257
Ritter, Juliane; Klar, Axel; Schneider, Florian |
|
2016
|
Numerical simulation of wetting phenomena by a meshfree particle method. Zbl 1329.76286
Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen |
|
2016
|
Brownian dynamics of rigid particles in an incompressible fluctuating fluid by a meshfree method. Zbl 1390.76894
Pandey, Anamika; Hardt, Steffen; Klar, Axel; Tiwari, Sudarshan |
|
2016
|
Aerodynamic web forming: process simulation and material properties. Zbl 1370.74050
Gramsch, Simone; Klar, Axel; Leugering, Günter; Marheineke, Nicole; Nessler, Christian; Strohmeyer, Christoph; Wegener, Raimund |
|
2016
|
Numerical simulation of a moving rigid body in a rarefied gas. Zbl 1349.76788
Shrestha, Samir; Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen |
|
2015
|
Complex material flow problems: a multi-scale model hierarchy and particle methods. Zbl 1360.76340
Göttlich, S.; Klar, A.; Tiwari, S. |
|
2015
|
Comparison of numerical solutions of the Boltzmann and the Navier-Stokes equations for a moving rigid circular body in a micro scaled cavity. Zbl 1342.76100
Shrestha, Samir; Tiwari, Sudarshan; Klar, Axel |
|
2015
|
An entropy functional and explicit decay rates for a nonlinear partially dissipative hyperbolic system. Zbl 1326.35256
Klar, A.; Tse, O. |
|
2015
|
The scalar Keller-Segel model on networks. Zbl 1321.92042
Borsche, R.; Göttlich, S.; Klar, A.; Schillen, P. |
|
2014
|
Coupling traffic flow networks to pedestrian motion. Zbl 1279.90035
Borsche, R.; Klar, A.; Kühn, S.; Meurer, A. |
|
2014
|
Higher order mixed-moment approximations for the Fokker-Planck equation in one space dimension. Zbl 1307.35301
Schneider, Florian; Alldredge, Graham; Frank, Martin; Klar, Axel |
|
2014
|
Particle methods for Pedestrian flow models: from microscopic to nonlocal continuum models. Zbl 1298.90019
Etikyala, R.; Göttlich, S.; Klar, A.; Tiwari, S. |
|
2014
|
Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker-Planck equations. Zbl 1306.82012
Klar, Axel; Schneider, Florian; Tse, Oliver |
|
2014
|
A multiscale meshfree method for macroscopic approximations of interacting particle systems. Zbl 1317.82029
Klar, A.; Tiwari, S. |
|
2014
|
Simulations of micro channel gas flows with domain decomposition technique for kinetic and fluid dynamics equations. Zbl 1455.76167
Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen |
|
2014
|
A semi-Lagrangian method for 3-D Fokker Planck equations for stochastic dynamical systems on the sphere. Zbl 1307.65012
Roth, A.; Klar, A.; Simeon, B.; Zharovsky, E. |
|
2014
|
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Zbl 1278.82044
Dolbeault, Jean; Klar, Axel; Mouhot, Clément; Schmeiser, Christian |
|
2013
|
Discontinuous conservation laws for production networks with finite buffers. Zbl 1273.90074
Göttlich, Simone; Klar, Axel; Schindler, Patrick |
|
2013
|
Coupled solution of the Boltzmann and Navier-Stokes equations in gas-liquid two phase flow. Zbl 1365.76322
Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen; Donkov, Alexander |
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2013
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GPU computing for meshfree particle method. Zbl 1463.65452
Panchatcharam, M.; Sundar, S.; Vetrivel, V.; Klar, A.; Tiwari, S. |
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2013
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Kinetic derivation of a Hamilton-Jacobi traffic flow model. Zbl 1282.76162
Borsche, Raul; Kimathi, Marc; Klar, Axel |
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2013
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Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika |
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2012
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A class of multi-phase traffic theories for microscopic kinetic and continuum traffic models. Zbl 1268.90012
Borsche, Raul; Kimathi, Mark; Klar, Axel |
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2012
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A 3D model for fiber lay-down in nonwoven production processes. Zbl 1248.37046
Klar, Axel; Maringer, Johannes; Wegener, Raimund |
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2012
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A smooth 3D model for fiber lay-down in nonwoven production processes. Zbl 1259.37032
Klar, Axel; Maringer, Johannes; Wegener, Raimund |
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2012
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Meshfree method for fluctuating hydrodynamics. Zbl 1252.76025
Pandey, Anamika; Klar, Axel; Tiwari, Sudarshan |
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2012
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An energy conserving numerical scheme for the dynamics of hyperelastic rods. Zbl 1402.74062
Fütterer, Thorsten; Klar, Axel; Wegener, Raimund |
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2012
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Higher order averaging of linear Fokker-Planck equations with periodic forcing. Zbl 1256.37034
Bonilla, L. L.; Klar, A.; Martin, S. |
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2012
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Radiative heat transfer and applications for glass production processes. Zbl 1223.80006
Frank, Martin; Klar, Axel |
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2011
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Self-propelled interacting particle systems with roosting force. Zbl 1197.92052
Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan |
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2010
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Optimal control of glass cooling using simplified \(P_N\) theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René |
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2010
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A particle-particle hybrid method for kinetic and continuum equations. Zbl 1175.82049
Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen |
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2009
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Hierarchy of mathematical models for production processes of technical textiles. Zbl 1230.74076
Klar, Axel; Marheineke, Nicole; Wegener, Raimund |
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2009
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A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method. Zbl 1169.76050
Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. |
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2009
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A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics. Zbl 1203.65211
Klar, Axel; Reuterswärd, Philip; Seaïd, Mohammed |
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2009
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The minimum entropy approximation to the radiative transfer equation. Zbl 1186.85023
Wright, Daniel; Frank, Martin; Klar, Axel |
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2009
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Numerical investigation of a combined lattice Boltzmann-level set method for three-dimensional multiphase flow. Zbl 1278.76093
Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. |
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2009
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A discrete optimization approach to large scale supply networks based on partial differential equations. Zbl 1161.90002
Fügenschuh, A.; Göttlich, S.; Herty, M.; Klar, A.; Martin, A. |
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2008
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Ergodicity and rate of convergence for a nonsectorial fiber lay-down process. Zbl 1235.82054
Grothaus, Martin; Klar, Axel |
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2008
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Numerical evidence for the non-existence of stationary solutions of the equations describing rotational fiber spinning. Zbl 1184.34055
Götz, Thomas; Klar, Axel; Unterreiter, Andreas; Wegener, Raimund |
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2008
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Hydrodynamic limit of a Fokker-Planck equation describing fiber lay-down processes. Zbl 1140.37015
Bonilla, L. L.; Götz, T.; Klar, A.; Marheineke, N.; Wegener, R. |
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2008
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Lattice-Boltzmann type relaxation systems and high-order relaxation schemes for the incompressible Navier-Stokes equations. Zbl 1130.76060
Banda, Mapundi; Klar, Axel; Pareschi, Lorenzo; Seaïd, Mohammed |
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2008
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Validation of simplified P\(_{\text{N}}\) models for radiative transfer in combustion systems. Zbl 1157.80402
Schneider, E.; Seaïd, M.; Janicka, J.; Klar, A. |
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2008
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Lattice Boltzmann simulation of depth-averaged models in flow hydraulics. Zbl 1184.76796
Klar, Axel; Seaïd, Mohammed; Thömmes, Guido |
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2008
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Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer. Zbl 1128.65107
Frank, Martin; Klar, Axel; Larsen, Edward W.; Yasuda, Shugo |
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2007
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Existence of solutions for supply chain models based on partial differential equations. Zbl 1165.90356
Herty, M.; Klar, A.; Piccoli, B. |
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2007
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A fast and accurate moment method for the Fokker–Planck equation and applications to electron radiotherapy. Zbl 1123.78011
Frank, Martin; Hensel, Hartmut; Klar, Axel |
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2007
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A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes. Zbl 1127.37041
Götz, T.; Klar, A.; Marheineke, N.; Wegener, R. |
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2007
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Instantaneous control for traffic flow. Zbl 1117.90030
Herty, M.; Kirchner, C.; Klar, A. |
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2007
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Smoothed penalty algorithms for optimization of nonlinear models. Zbl 1181.90222
Herty, M.; Klar, A.; Singh, A. K.; Spellucci, P. |
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2007
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A network model for supply chains with multiple policies. Zbl 1151.90002
Degond, P.; Göttlich, S.; Herty, M.; Klar, A. |
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2007
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A lattice-Boltzmann relaxation scheme for coupled convection-radiation systems. Zbl 1121.76048
Banda, Mapundi K.; Klar, Axel; Seaïd, Mohammed |
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2007
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An ODE traffic network model. Zbl 1137.90347
Herty, M.; Klar, A.; Singh, A. K. |
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2007
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Gas flow in pipeline networks. Zbl 1108.76063
Banda, Mapundi K.; Herty, Michael; Klar, Axel |
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2006
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Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052
Banda, Mapundi K.; Herty, Michael; Klar, Axel |
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2006
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Partial moment entropy approximation to radiative heat transfer. Zbl 1104.65124
Frank, Martin; Dubroca, Bruno; Klar, Axel |
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2006
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Radiation models for thermal flows at low Mach number. Zbl 1099.76056
Teleaga, Ioan; Seaïd, Mohammed; Gasser, Ingenuin; Klar, Axel; Struckmeier, Jens |
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2006
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A stability notion for lattice Boltzmann equations. Zbl 1100.76051
Banda, M. K.; Yong, W.-A.; Klar, A. |
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2006
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Modelling and optimization of supply chains on complex networks. Zbl 1115.90009
Göttlich, S.; Herty, M.; Klar, A. |
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2006
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Combinatorial and continuous models for the optimization of traffic flows on networks. Zbl 1131.90015
Fügenschuh, A.; Herty, M.; Klar, A.; Martin, A. |
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2006
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Optimal control for continuous supply network models. Zbl 1131.90009
Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel |
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2006
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Asymptotic-preserving schemes for unsteady flow simulations. Zbl 1177.76245
Seaïd, Mohammed; Klar, Axel |
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2006
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Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079
Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter |
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2006
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Qualitative properties of solutions to systems of Fokker-Planck equations for multilane traffic flow. Zbl 1107.82041
Herty, M.; Illner, R.; Klar, A.; Panferov, V. |
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2006
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Asymptotic analysis of the lattice Boltzmann equation. Zbl 1079.82013
Junk, Michael; Klar, Axel; Luo, Li-Shi |
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2005
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Optimal control for traffic flow networks. Zbl 1079.49024
Gugat, M.; Herty, M.; Klar, A.; Leugering, G. |
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2005
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Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A. |
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2005
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Numerical solvers for radiation and conduction in high temperature gas flows. Zbl 1331.80018
Seaïd, Mohammed; Klar, Axel; Pinnau, René |
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2005
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General kinetic models for vehicular traffic flows and Monte-Carlo methods. Zbl 1114.90011
Herty, M.; Klar, A.; Pareschi, L. |
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2005
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| ...and 57 more Documents |
