Publications

Books

  • Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems. Theory, Algorithm, and Applications, Lecture Notes in Computational Sciences and Engineering, Volume 16, Springer Verlag, 2000

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Papers

  1. W. Huang, L. Kamenski, J. Lang
    Adaptive finite elements with anisotropic meshes ,
    Proceedings of ENUMATH 2011, Leicester

  2. C. Hertel, M. Schümichen, S. Löbig, J. Fröhlich, J. Lang
    Adaptive Large Eddy Simulation with Moving Meshes ,
    Preprint 2011, Technische Universität Dresden, submitted to Theoretical and Computational Fluid Dynamics

  3. D. Clever, J. Lang, D. Schröder
    Model Hierarchy Based Optimal Control of Radiative Heat Transfer ,
    Preprint, December 2011, Department of Mathematics, Technische Universität Darmstadt

  4. B. Schieche, J. Lang
    Uncertainty Quantification for Poiseuille Flow Using Stochastic Collocation ,
    Preprint, December 2011, Department of Mathematics, Technische Universität Darmstadt

  5. K. Kuhn, J. Lang
    Comparison of asymptotic stability for recursive ROS-multirate methods ,
    Preprint 2625, February 2011, Department of Mathematics, Technische Universität Darmstadt

  6. P. Domschke, O. Kolb, J. Lang
    Adjoint-based control of model and discretization errors for gas flow in networks ,
    Int. J. Mathematical Modelling and Numerical Optimisation, Vol. 2, No. 2, pp. 175-193

  7. D. Clever, J. Lang, S. Ulbrich, C.Ziems
    Generalized Multilevel SQP-methods for PDAE-constrained Optimization Based on Space-Time Adaptive PDAE Solvers ,
    International Series of Numerical Mathematics, Vol. 160, pp. 37-60, 2011 Springer Basel AG
     
  8. J. Lang, M. Lilienthal, S. Schnepp
    Eiffizienz durch adaptive Simulationsverfahren ,
    in  thema FORSCHUNG 2/2011, Computational Engineering, TU Darmstadt, 16-21, Germany

  9. J. Lang, J. Verwer
    W-Methods in Optimal Control ,
    Preprint, April 2011, Department of Mathematics, Technische Universität Darmstadt

  10. M. Frank, J. Lang, M. Schäfer
    Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations , 
         Journal of Scientific Computing, Vol. 49, Number 3 (2011), pp. 332-350 

  11. D. Clever, J. Lang
    Optimal Control of Radiative Heat Transfer in Glass Cooling with Restrictions on the Temperature Gradient ,
    Optim. Control Appl. Meth., Vol. 33 (2012), pp. 157-175, published online 31 January 2011

  12. B. Geissler, O. Kolb, J. Lang, G. Leugering, A. Martin, A. Morsi
    Mixed Integer Linear Models for the Optimization of Dynamic Transport Networks ,
    Mathematical Methods of Operations Research, Vol. 73, Issue 3 (2011), pp. 339-362

  13. B. Gottermeier, J. Lang
    Adaptive Two-Step Peer Methods for Incompressible Navier-Stokes Equations , 
    Numerical Mathematics and Advanced Applications 2009, Part II, pp. 387-395, Proceedings of ENUMATH 2009, G. Kreiss. P. Lötstedt,  A. Malqvist, M. Neytcheva (Eds.), Uppsala, Sweden

  14. D. Clever, J. Lang, S. Ulbrich, C. Ziems 
    Combination of an Adaptive Multilevel SQP Method and a Space-Time Adaptive PDAE Solver for Optimal Control Problems , 
    Procedia Computer Science 1 (2010), pp. 1429-1437 

  15. P. Domschke, O. Kolb, J. Lang 
    An Adaptive Model Switching and Discretization Algorithm for Gas Flow on Networks , 
    Procedia Computer Science 1 (2010), pp. 1325-1334

  16. O. Kolb, P. Domschke, J. Lang 
    Modified QR Decomposition to Avoid Non-Uniqueness in Water Supply Networks with Extension to Adjoint Calculus , 
    Procedia Computer Science 1 (2010), pp. 1421-1428 

  17. S. Ullmann, J. Lang 
    A POD-Galerkin Reduced Model with Updated Coefficients for Smagorinsky LES , 
    Proceedings of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 J.C.F. Pereira, A. Sequeira and J.M.C. Pereira (Eds) Lisbon, Portugal, 14-17 June 2010

  18. B. Gottermeier, J. Lang 
    Adaptive Two-Step Peer Methods for Thermally Coupled Incompressible Flow , 
    Proceedings of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 J.C.F. Pereira, A. Sequeira and J.M.C. Pereira (Eds), Lisbon, Portugal, 14-17 June 2010 

  19. O. Kolb, J. Lang, P. Bales
    An Implicit Box Scheme for Subsonic Compressible Flow with Dissipative Source Term , 
         Numerical Algorithms 53 (2010), pp. 293-307
      
  20. P. Domschke, B. Geissler, O. Kolb, J. Lang, A. Martin, A. Morsi
     Combination of Nonlinear and Linear Optimization of Transient Gas Networks, 
         INFORMS Journal on Computing 23 (2011), No. 4, pp. 605-617 
      
  21. A. Gerisch, J. Lang, H. Podhaisky, R. Weiner
     High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs , 
         Appl. Numer. Math. 59 (2009), pp. 624-638
      
  22. W. Huang, L. Kamenski, J. Lang
     A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates , 
         J. Comp. Phys. 229 (2010), pp. 2179-2198
      
  23. M. Clemens, J. Lang, D. Teleaga, G. Wimmer
     Transient 3D Magnetic Field Simulation with Combined Space and Time Mesh Adaptivity for Lowest Order WFEM Formulations , 
         IET Sci. Meas. & Technol. 3 (2009), pp. 377-383
      
  24. O. Kolb, P. Bales, J. Lang
     Moving Penalty Functions for Optimal Control with PDEs on Networks , 
         in: Proceedings of ECMI2008, 30 June - 4 July, London (2010)

  25. S. Löbig, A. Dörnbrack, J. Fröhlich, C. Hertel, Ch. Kühnlein, J. Lang
    Towards large eddy simulation on moving grids ,
    Proc. Appl. Math. Mech. 9, 445-446 (2009)

  26. P. Bales, O. Kolb, J. Lang
     Hierarchical modelling and model adaptivity for gas flow on networks , 
         Lecture Notes in Computer Science 5544, Part I, pp. 337-346, Springer-Verlag (2009)
      
  27. O. Kolb, J. Lang, P. Bales
     Adaptive linearization for the optimal control problem of gas flow in pipeline networks , 
         Report No. 2553 (2008), Technische Universität Darmstadt, Department of Mathematics
      
  28. D. Teleaga, J. Lang
     Numerically Solving Maxwell's Equations. Implementation Issues for Magnetoquasistatics , 
         Report No. 2551 (2008), Technische Universität Darmstadt, Department of Mathematics
     
  29. M. Clemens, J. Lang, D. Teleaga, G. Wimmer
    Space and Time Adaptive Calculation of Transient 3D Magnetic Fields , 
         in: K. Kunisch, G. Of, O. Steinebach (eds.), Numerical Mathematics ans Advanced Applications, Proceedings of ENUMATH 2007, Graz, pp. 109-116
     
  30. M. Clemens, J. Lang, D. Teleaga, G. Wimmer
    Adaptivity in Space and Time for Magnetoquasistatics , 
         J. Comput. Mathematics 27 (2009), pp. 642-656
     
  31. G. Wimmer, M. Clemens, J. Lang
    Calculation of Magnetic Fields with Finite Elements , 
         in: M.H. Breitner, G. Denk, P. Rentrop (eds.), From Nano to Space, Applied Mathematics Inspired by Roland Bulirsch, Springer-Verlag Berlin Heidelberg (2007)
     
  32. J. Lang, D. Teleaga
    Towards a Fully Space-Time Adaptive FEM for Magnetoquasistatics , 
         IEEE Trans. Magn. 44 (2008), pp. 1238-1241
     
  33. O. Kolb, J. Lang, P. Bales
    Adaptive linearized models for optimization of gas networks , 
         Proc. Appl. Math. Mech. 7 (2007), pp. 1061301-1061302
     
  34. K. Debrabant, J. Lang
    On Global Error Estimation and Control for Parabolic Equations , 
         Report No. 2512 (2007), Technische Universität Darmstadt, Department of Mathematics
      
  35. I. Teleaga, J. Lang
    Higher-order linearly implicit one-step methods for three-dimensional incompressible Navier-Stokes equations , 
         Studia Babes-Bolyai Matematica 53 (2008), pp. 109-121
      
  36. B. Erdmann, J. Lang, S. Matera, K. Wilmanski
    Adaptive Linearly Implicit Methods for Linear Poroelastic Equations,
    ZIB-Report 06-37 (July 2006), Zuse-Institute Berlin
      
  37. J. Lang, J. Verwer
    On Global Error Estimation and Control for Initial Value Problems , 
         SIAM J. Sci. Comput. 29 (2007), pp. 1460-1475.
      
  38. I. Teleaga, J. Lang
     Towards the Description of Modelling and Numerical Errors in LES, 
          in: Proceedings of  Quality Assessment of Unsteady Methods for Turbulent Combustion Prediction and Validation, June 16-17, Seeheim, Germany, (2005)
     
  39. P. Colle Franzone, P. Deuflhard, B. Erdmann, J. Lang, L.F. Pavarino
    Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology , 
         SIAM J. Sci. Comput. 28 (2006), pp. 942-962.
      
  40. J. Lang
    Adaptive Computation for Boundary Control of Radiative Heat Transfer in Glass , 
         Journal of Computational and Applied Mathematics 183 (2005), pp. 312-326
     
  41. A. Klar, J. Lang, M. Seaid
    Adaptive Solution of SPN-Approximations to Radiative Heat Transfer in Glass , 
         International Journal of Thermal Sciences 44 (2005), pp. 1013-1023
     
  42. C. Kober, B. Erdmann, J. Lang, R. Sader, H.-F. Zeilhofer
     Sensitivity of the Temporomandibular Joint Capsule for the Structural Behaviour of the Human Mandible, 
         in Proceedings of BMT2004, Ilmenau, Germany, 2004, Biomedizinische Technik 49, Ergänzungsband 2, pp. 372-373, ISSN 0939-4990, 2004
      
  43. C. Kober, B. Erdmann, J. Lang, R. Sader, H.-F. Zeilhofer
    Adaptive Finite Element Simulation of the Human Mandible Using a New Physiological Model of the Masticatory Muscles, 
         in Proceedings of the 75th Annual GAMM-Meeting of the GAMM Dresden, PAMM, Vol. 4, Issue 1, Dec. 2004, pp. 332-333
     
  44. J. Lang
     Optimale Berechnungsstrategien in der Strömungssimulation,
         in  thema FORSCHUNG 2/2003, TU Darmstadt, 58-63, Germany, 
     ISSN 1434-7768, 2003
     
  45. J. Lang, B. Erdmann, C. Kober, P. Deuflhard, H.-F. Zeilhofer, R. Sader
    Effiziente und zuverlässige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers ,
     in: W. Alt, M. Hermann (eds.), Berichte des Interdisziplinären Zentrums für Wissenschaftliches Rechnen, Friedrich-Schiller-Universität Jena, Band 1, 2003, pp. 49-57
     
  46. J. Lang, W. Cao, W. Huang, R.D. Russell
    A Two-Dimensional Moving Finite Element Method with Local Refinement Based on A Posteriori Error Estimates ,
     Appl. Numer. Math. 46 (2003), pp. 75-94
     
  47. B. Erdmann, J. Lang, R. Roitzsch
    KARDOS User's Guide ,
     ZR 02-42 (2002), Konrad-Zuse-Zentrum Berlin
      
  48. J. Lang, B. Erdmann
    Three-Dimensional Adaptive Computation of Brine Transport in Porous Media ,
     Numerical Heat Transfer: Applications 42 (2002) 107-119
     
  49. B. Erdmann, C. Kober, J. Lang, P. Deuflhard, H.-F. Zeilhofer, R. Sader
    Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible ,
     in Proceedings of 9th Workshop on The Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, Ulm, Germany, July 2002
     
  50. J. Lang, B. Erdmann
     Three-Dimensional Adaptive Computation of Brine Transport in Porous Media,
     in: G. de Vahl Davis and E. Leonardi (eds.), CHT'01: Advances in Computational Heat Transfer, 1001-1008 (Begell House Inc., New York 2001)
     
  51. B. Erdmann, J. Lang, R. Roitzsch
     Adaptive Linearly Implicit Methods for Instationary Nonlinear Problems,
     in Finite Element Methods: Three-Dimensional Problems, Gakuta International Series: Mathematical Sciences and Applications, Vol. 15 (2001) 66-75
     
  52. J. Lang, J. Verwer
    ROS3P - an Accurate Third-Order Rosenbrock Solver Designed for Parabolic Problems ,
     BIT 41 (2001) 730-737
     
  53. J. Lang, W. Merz
    Two-Dimensional Adaptive Simulation of Dopant Diffusion in Silicon ,
     Computing and Visualization in Science 3 (2001) 169-176
     
  54. W. Merz, J. Lang
     Analysis and Simulation of Two-Dimensional Dopant Diffusion in Silicon,
     in K.-H. Hoffmann (ed.), Smart Materials, Proceedings of the First Caesarium, Springer--Verlag, 2001
     
  55. J. Lang, B. Erdmann
    Adaptive Linearly Implicit Methods for Heat and Mass Transfer ,
     in: A.V. Wouver, P. Saucez, W.E. Schiesser (eds.), Adaptive Method of Lines, 295-316 (CRC Press, 2000)
     
  56. M.J. Lourenco, S.C.S. Rosa, C.A. Nieto de Castro, C. Albuquerque, B. Erdmann, J. Lang, R. Roitzsch
     Simulation of the Transient Heating in an Unsymmetrical Coated Hot-Strip Sensor with a Self-Adaptive Finite Element Method,
     Int. J. Thermophysics 21 (2000) 377-384
     
  57. J. Lang
     Adaptive Linearly Implicit Methods in Dynamical Process Simulation,
     CD-ROM Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS, Barcelona, 2000)
     
  58. J. Lang
     Adaptive Multilevel Solutions of Nonlinear Parabolic PDE Systems,
     in: P. Neittaanmäki, T. Tiihonen, P. Tarvainen (eds.), Numerical Mathematics and Advanced Applications, 141-145 (World Scientific, Singapore, New Jersey, London, Hong Kong 2000)
     
  59. F. Seewald, A. Pollei, M. Kraume, W. Mittelbach, J. Lang
     Numerical Calculation of the Heat Transfer in an Adsorption Energy Storage with KARDOS,
     SC 99-04 (1999), Konrad-Zuse-Zentrum Berlin
     
  60. J. Lang, B. Erdmann, M. Seebass
    Impact of Nonlinear Heat Transfer on Temperature Distribution in Regional Hyperthermia ,
     IEEE Transaction on Biomedical Engineering 46 (1999) 1129-1138
     
  61. J. Lang, W. Merz
     Dynamic Mesh Design Control in Semiconductor Device Simulation,
     in: V.B. Bajic (ed.), Advances in Systems, Signals, Control and Computers, Vol. 2, 82-86 (Academy of Nonlinear Science, Durban, South Africa, 1998)
     
  62. M.J. Lourenco, S.C.S. Rosa, C.A. Nieto de Castro, C. Albuquerque, B. Erdmann, J. Lang, R. Roitzsch
     Simulation of the Transient Heating in an Unsymmetrical Coated Hot-Strip Sensor with a Self-Adaptive Finite Element Method,
     in: M.S. Kim and S.T. Ro (eds.), Proc. 5th Asian Thermophysical Properties Conference, Seoul, 1998, Vol. 1, 91-94 (Seoul National University, 1998)
     
  63. B. Erdmann, J. Lang, M. Seebass
     Optimization of Temperature Distributions for Regional Hyperthermia Based on a Nonlinear Heat Transfer Model,
     in: K. Diller (ed.), Biotransport: Heat and Mass Transfer in Living Systems, Annals of the New York Academy of Sciences, Vol. 858, 36-46, 1998
     
  64. J. Lang
     Adaptive Incompressible Flow Computations with Linearly Implicit Time Discretization and Stabilized Finite Elements ,
    in: K.D. Papailiou, D. Tsahalis, J. Periaux, C. Hirsch, M. Pandolfi (eds.), Computational Fluid Dynamics '98, 200-204 (John Wiley & Sons, New York 1998)
     
  65. J. Lang
     Adaptive FEM for Reaction-Diffusion Equations,
     Appl. Numer. Math. 26 (1998) 105-116
     
  66. J. Fröhlich, J. Lang
     Twodimensional Cascadic Finite Element Computations of Combustion Problems,
     Comp. Meth. Appl. Mech. Engrg. 158 (1998) 255-267
     
  67. R. Roitzsch, B. Erdmann, J. Lang
     The Benefits of Modularization: from KASKADE to KARDOS,
     SC 98-15 (1998), Konrad-Zuse-Zentrum Berlin
     
  68. B. Erdmann, J. Lang, M. Seebass
     Adaptive Solutions of Nonlinear Parabolic Equations with Application to Hyperthermia Treatments,
     in: G. de Vahl Davis and E.Leonardi (eds.), CHT'97: Advances in Computational Heat Transfer,103-110,
     (Begell House Inc., New York 1998)
     
  69. J. Lang, W. Merz
     Numerical Simulation of Single Species Dopant Diffusion in Silicon under Extrinsic Conditions,
     SC 97-47 (1997), Konrad-Zuse-Zentrum Berlin
     
  70. J. Lang, B. Erdmann, R. Roitzsch
     Adaptive Time-Space Discretization for Combustion Problems,
     in: A. Sydow (ed.), 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol. 2 (Numerical Mathematics), 149-155 (Wissenschaft und Technik Verlag, Berlin, 1997)
     
  71. J. Lang, B. Erdmann, R. Roitzsch
     Three-Dimensional Fully Adaptive Solution of Thermo-Diffusive Flame Propagation Problems,
     in: R.W. Lewis, J.T.Cross (eds.), Numerical Methods in Thermal Problems, 857-862 (Pineridge Press, Swansea, UK 1997)
     
  72. J. Lang
     Numerical Solution of Reaction-Diffusion Equations,
     in: F.Keil, W.Mackens, H.Voss, J.Werther (eds.), Scientific Computing in Chemical Engineering, 136-141 (Springer 1996)
     
  73. J. Fröhlich, J. Lang, R. Roitzsch
     Selfadaptive Finite Element Computations with Smooth Time Controller and Anisotropic Refinement,
     in: J.A. Desideri, P.Le. Tallec, E. Onate, J. Periaux, E. Stein (eds.), Numerical Methods in Engineering '96, 523-527 (John Wiley & Sons, New York 1996)
     
  74. P. Deuflhard, J. Lang, U. Nowak
     Adaptive Algorithms in Dynamical Process Simulation,
     in: H. Neunzert (ed.), Progress in Industrial Mathematics at ECMI 94, 122-137 (Wiley-Teubner 1996)
     
  75. J. Lang
     High-Resolution Self-Adaptive Computations on Chemical Reaction-Diffusion Problems with Internal Boundaries,
     Chem. Engrg. Sci. 51 (1996) 1055-1070
     
  76. J. Lang, J. Fröhlich
     Selfadaptive Finite Element Computations of Combustion Problems,
     in: R.W.Lewis, P.Durbetaki (eds.), Numerical Methods in Thermal Problems Vol. IX, 761-769 (Pineridge Press, Swansea 1995)
     
  77. J. Lang
     Two-Dimensional Fully Adaptive Solutions of Reaction-Diffusion Equations,
     Appl. Numer. Math. 18 (1995) 223-240
     
  78. J. Lang, A. Walter
     An Adaptive Discontinuous Finite Element Method for the Transport Equation,
     J. Comp. Phys. 117 (1995) 28-34
     
  79. J. Lang
     KARDOS - KAskade Reaction Diffusion One-dimensional System,
     TR 93-9 (1993), Konrad-Zuse-Zentrum Berlin
     
  80. B. Erdmann, J. Lang, R. Roitzsch
     KASKADE - Manual,
     TR 93-5 (1993), Konrad-Zuse-Zentrum Berlin
     
  81. J. Lang, A. Walter
     An Adaptiv Rothe-Method for Nonlinear Reaction-Diffusion-Systems,
     Appl. Numer. Math. 13 (1993) 135-146
     
  82. J. Lang
     Raum- und zeitadaptive Finite-Elemente-Methoden für Reaktions-Diffusionsgleichungen,
     in Modellierung Technischer Flammen, Proc. 8.TECFLAM--Seminar, 115-123 (Darmstadt 1992)
     
  83. J. Lang, A. Walter
     A Finite Element Method Adaptive in Space and Time for Nonlinear Reaction-Diffusion-Systems,
     Impact Comput. Sci. Engrg. 4 (1992) 269-314
     
  84. J. Lang
     An Adaptive Finite Element Method for Convection-Diffusion Problems by Interpolation Techniques,
     TR 91-4 (1991), Konrad-Zuse-Zentrum Berlin
     
  85. S.A. Iwanov, W.G. Korneev, J. Lang
     Ozenki Konstant w Nerawenstwax dla Basisnix Elementow,
     Schurnal Wuichislitelnoi Matematiki i Matematichiskoi Fisiki, Tom 28/9 (1988) 1425-1431
     
  86. M. Gebel, J. Lang, M. Stern
     A General Isomorphism Theorem for Universal Algebras,
     Demonstratio Mathematica, Vol.XVII, No.4 (1984) 907-912
    87.  

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Theses

  • Habilitation thesis, 1999
    Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems. Theory, Algorithm, and Applications,
    Math. Institute, Free University Berlin
  • Ph.D. thesis, 1988
    Ein Beitrag zur adaptiven Netzsteuerung bei der Methode der Finiten Elemente auf der Grundlage von Interpolationsfehler-Abschätzungen,
    Math. Institute, Martin-Luther University Halle-Wittenberg
  • Diploma thesis, 1986
    Konstanten bei der Interpolation in Sobolevräumen,
    Math. Institute, Martin-Luther University Halle-Wittenberg

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