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Publications of Michael Junk(  =under construction,
 =submitted,
 =published)2011
Asymptotic Analysis of lattice Boltzmann Outflow TreatmentsCommun.Comp. Phys., 9 1117-1127, 2011 with Z. Yang 2010
Scale-Induced Closure for Approximations of Kinetic EquationsJ. Stat. Phys., 141 848-8889, 2010 with P. Kauf, M. Torrilhon
Analysis and invariant properties of a lattice Boltzmann methodAdv. Appl. Math. Mech., 2 640-669, 2010 with Z. Yang
Numerical investigation of a combined lattice Boltzmann-level set method for three-dimensional multiphase flow Int. J. Comp. Fluid. Dyn., 23, 687-697, 2010 with G. Thömmes, J. Becker, A.K. Vaikuntam, D. Kehrwald, A. Klar, K. Steiner, A. Wiegmann 2009
A combined lattice BGK/level set method for immiscible two-phase flowsComputers and Mathematics with Applications, 58, 950-964, 2009 with J. Becker, D. Kehrwald, G. Thömmes, Z. Yang
Pressure boundary condition for the lattice Boltzmann methodComputers and Mathematics with Applications, 58, 922-929, 2009 with Z. Yang
Comparison of analysis techniques for the lattice Boltzmann methodComputers and Mathematics with Applications, 58, 883-897, 2009 with A. Caiazzo, M. Rheinländer
Smooth initialization of lattice Boltzmann schemesComputers and Mathematics with Applications, 58, 867-882, 2009 with P. Van Leemput, M. Rheinländer
Fitting of lateral resistances in silicon solar cells to electroluminescence images
preprint for the proceedings of the 24th EU PVSEC 2009, Hamburg with D. Kiliani, A. Herguth, G. Hahn, V. Rutka
Weighted L^2 Stability of the Lattice Boltzmann Method
SIAM J. Numer. Anal., 47, 1651-1665, 2009. with W.-A. Yong
Convergence of Lattice Boltzmann Methods for Navier-Stokes Flows in Periodic and Bounded Domains
Numerische Mathematik, 112, 65-87, 2009. with Z. Yang
Post-processing intensity measurements at favourable dose values.
Applied Crystallography, 42, 48-57, 2009 with K. Diederichs
A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method
Journal of Computational Physics, 228, 1139-1156, 2009 with G. Thömmes, J. Becker, A.K. Vaikuntam, D. Kehrwald, A.Klar, K. Steiner, A. Wiegmann 2008
Convergence of Lattice Boltzmann Methods for Stokes Flows in Periodic and Bounded Domains
Computers and Mathematics with Applications, 55, 1481-1491, 2008 with Z. Yang
Regular and multiscale expansions of a lattice Boltzmann methodProgress in Computational Fluid Dynamics, 8, 25-37, 2008 with M. Rheinländer
Outflow boundary conditions for the lattice Boltzmann methodProgress in Computational Fluid Dynamics, 8, 38 - 48, 2008. with Z. Yang
Boundary forces in lattice Boltzmann: Analysis of
Momentum Exchange algorithm
Computers and Mathematics with Applications, 55, 1415-1423, 2008. with A. Caiazzo 2007
A study of parylene C polymer deposition inside microscale gaps
IEEE Transactions on advanced packaging, 30, 2007 with A. Ramachandran, K.P. Koch, K.P. Hoffmann
A new derivation of Jeffery's equation
J. math. fluid mech., 9, 455-488, 2007 with Reinhard Illner 2006
Understanding the Porosity Dependence of Heat Flux Through Glass Fiber Insulation
Mathematical and Computer Modelling, 43, 485-492, 2006 with S. Roy, S. Sundar
Exact closure relations for the maximum entropy moment system
in semiconductor using Kane's dispersion relation
Progress in Industrial Mathematics at ECMI 2004, Mathematics in Industry, The European Consortium for Mathematics in Industry, Vol. 8, 184-188, 2006 with Vittorio Romano
On the relation between lattice variables and physical quantities in lattice Boltzmann simulations
ITWM report, 2006 with Dirk Kehrwald
Asymptotic analysis of finite difference schemes
Oberwolfach Report 28/2006, 24-27, 2006 with Martin Rheinländer
Deterministic Particle Methods for High Dimensional Fokker-Planck Equations
Springer Lecture Notes in Computational Science and Engineering, 57, 165-183, 2006 with G. Venkiteswaran 2005
Simulating Heat Flow Through Highly Porous Materials
with S. Roy, S. Sundar
Constructing product measures with Quasi-Monte Carlo points
with G. Venkiteswaran
Meshless methods for conservation laws,
Analysis and Numerics for Conservation Laws (G. Warnecke Edt.), 339-362, Springer, 2005 with D. Hietel, J. Kuhnert, S. Tiwari
Asymptotic analysis of the lattice Boltzmann equation
Journal Comp. Phys., 210, 676-704, 2005 with Axel Klar and Li-Shi Luo
A QMC Approach for High Dimensional Fokker-Planck Equations Modelling Polymeric Liquids
Math. Comp. Simul., 68, 23-41, 2005 with G. Venkiteswaran
Quasi-Monte Carlo Algorithms for Diffusion Equations in High Dimensions
Math. Comp. Simul., 68, 43-56, 2005 with G. Venkiteswaran
A one-point boundary condition for the lattice Boltzmann method
Phys. Rev. E, 72, 066701, 2005 with Zhaoxia Yang
Asymptotic analysis of lattice Boltzmann boundary conditions
J. Stat. Phys., 121, 3-35, 2005 with Zhaoxia Yang 2004
Maximum entropy moment systems of the semiconductor Boltzmann equation using Kane's dispersion relationContinuum Mechanics and Thermodynamics, 17, 247-267, 2004 with Vittorio Romano
Asymptotic analysis of finite difference methods
Appl. Math. Comput., 158, 267-301, 2004 with Zhaoxia Yang
Maximum entropy moment problems and extended Euler equations
proceedings of IMA Workshop "Simulation of Transport in Transition Regimes", Springer. IMA Vol. Math. Appl. 135, 189-198, 2004 2003
Analysis of lattice Boltzmann boundary conditions
Proc. Appl. Math. Mech., 3, 76-79, 2003 with Zhaoxia Yang
Rigorous Navier-Stokes limit of the lattice Boltzmann equation
Asymptotic Analysis, 35, 165-184, 2003 with Wen-An Yong
A hybrid simulation method for radiative transfer equations Eur. J. Appl. Math., 14, No.2, 165-179, 2003 with A. Unterreiter and F. Zingsheim
On 2x2 systems of conservation laws
with fluxes that are entropiesElectron. J. Diff. Eqns., 2003, No. 26, 1 - 21, 2003.
Kinetic derivation of a finite difference scheme for incompressible Navier Stokes equations
J. Comp. Appl. Math., 154, 341 - 354, 2003 with M. K. Banda and A. Klar
A residual based error formula for a class of transport equationsEur. J. Appl. Math., 14, No.2, 181-200, 2003 with A. Unterreiter and F. Zingsheim 2002
Hyperbolic Conservation Laws and Industrial ApplicationsMeister, A. and Struckmeier, J. (eds.), Hyperbolic partial differential equations. Theory, numerics and applications, Vieweg, 2002
Maximum Entropy Moment Systems and Galilean Invariance
Continuum Mech. Thermodyn., 14, No.6, 563-576, 2002 with A. Unterreiter
A limiter based on kinetic theory
TTSP, 31, No.4-6, 491-512, 2002 with M. K. Banda and A. Klar
Do finite volume methods need a mesh?Springer Lecture Notes in Computational Science and Engineering, 26, 223-238, 2002
The Lattice Boltzmann Method for Two-Phase Flows and Applications to Filtration Processes
Progress in Industrial Mathematics at ECMI 2000, Mathematics in Industry, 1, 451-456, 2002 2001
The Finite-Volume-Particle Method for Conservation
Laws
proceedings of GAMM Workshop "Discrete Modelling and discrete Algorithms in Continuum Mechanics", Logos Verlag, 2001 with D. Hietel, R. Keck and D. Teleaga
LBM - Discrete Dynamics and Finite-Difference Method
proceedings of GAMM Workshop "Discrete Modelling and discrete Algorithms in Continuum Mechanics", Logos Verlag, 2001
On the approximation of kinetic equations by moment systems
Nonlinearity, Vol. 14, 881-906, 2001 with W. Dreyer, M. Kunik
A Finite Difference Interpretation of the Lattice Boltzmann Method
Numer. Methods Partial Differ. Equations, Vol. 17, 383-402, 2001
Consistency analysis of mesh-free methods for conservation laws
Mitt. Ges. Angew. Math. Mech., 24, No.2, 99-126, 2001 with J. Struckmeier
A Kinetic Approach to Hyperbolic Systems and the Role of Higher Order Entropies
proceedings of HYP2000, ISNM, 140, 583-592, 2001 2000
A new Perspective on Kinetic Schemes
SIAM Jounal on Numerical Analysis, Vol. 38, 1603-1625, 2000
Discretization for the incompressible Navier-Stokes
equations based on the Lattice Boltzmann Method
SIAM Jounal on Scientific Computing, Vol. 22, 1-19, 2000 with A. Klar
Maximum entropy for reduced moment problems
M3AS, Vol. 10, 1001-1025, 2000
Cross-Validation of numerical schemes for extended
hydrodynamical models of semiconductors
M3AS, Vol. 10, 833-861, 2000 with A. M. Anile, V. Romano and G. Russo 1999
Kinetic Schemes in the Case of Low Mach Numbers
J. Comp. Phys., Vol. 151, 947-968, 1999
A new discrete velocity method for Navier-Stokes equations
J. Comp. Phys., Vol. 155, 178-198, 1999 with S.V. Raghurama Rao
On the Construction of Discrete Equilibrium Distributions for Kinetic Schemes
ITWM report 14, 1999 1998
Domain of Definition of Levermore's Five-Moment System
J. Stat. Phys., Vol. 93, 1143-1167, 1998 1997
Kinetic Schemes: A new approach and applicationsISBN 3-8265-3125-6, Shaker Verlag, 1997 1993
Ein kinetisches Verfahren für parabolische GleichungenDiploma thesis, Universität Kaiserslautern, 1993 |
