Publications

• Preprints

• Vergleich von FEM, FVM und FVM bei elliptischen Problemen (dvi-file, compressed ps-file)
  TU Preprint MATH-NM-11-1995
• Delaunay-Triangulation, Maximumprinzip und einfache konforme FEM für die Poissonaufgabe (dvi-file, compressed ps-file)
  TU Preprint MATH-NM-06-1996
• (mit H.-P. Scheffler) Ein neuer Zugang zur Konvergenzanalysis einer Finite-Volumen-Methode bei der Poisson-Aufgabe (dvi-file, compressed ps-file)
  TU Preprint MATH-NM-12-1996
• Konvergenzanalysis einer FEM für Konvektions-Diffusions-Probleme (dvi-file, compressed ps-file)
  TU Preprint MATH-NM-05-1997
• Konvergenzanalysis einer upwind FVM für Konvektions-Diffusions-Probleme (dvi-file, compressed ps-file)
  TU Preprint MATH-NM-01-1998
• Convergence analysis for an exponentially fitted FVM (dvi-file, compressed ps-file)
  TU Preprint MATH-NM-09-1999
• Fehlerabschätzungen für eine FEM mit Lumping bei parabolischen DGLn (dvi-file, compressed ps-file)
  TU Preprint MATH-NM-15-2000
• (with H.-G. Roos) A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation (pdf-file)
  TU Preprint MATH-NM-06-2007

• Papers in Books

• Monotonicity preserving properties of the method of lines for parabolic equations.
  in "Numerical analysis of selected semilinear differential equations", Dresden, 1984, pp. 37-52.
• (with F. Schnerr and S. Scholz) Error bounds for characteristic initial value problems of hyperbolic differential equations.
  in "Numerical analysis of selected semilinear differential equations", Dresden, 1984, pp. 53-82.

• Papers in Conference Proceedings

• Stabilität und Kontraktivität von linearen Mehrschrittverfahren.
  in "Numerical treatment of differential equations", Halle, 1983, pp. 144-148.
• Relations between FEM and FVM (abstract - dvi-file, compressed ps-file)
  in "Finite Volumes for Complex Applications", Rouen, 1996, pp. 217-223.
• (with H.-P. Scheffler) Convergence analysis of a cell-centered FVM (abstract - dvi-file, compressed ps-file)
  in "Finite Volumes for Complex Applications II", Duisburg, 1999, pp. 181-188.
• (with H.-P. Scheffler) Convergence analysis of a cell-centered finite volume method (FVM)
  ZAMM 79 (1999), Suppl. 3, pp. 875-876.
• (with Ch. Großmann and A. Noack) On Numerical Problems Caused by Discontinuities in Controls (abstract - dvi-file, compressed ps-file)
  in "System Modeling and Optimization XX", Trier, 2001, pp. 255-270.
• Konvergenzanalysis einer FVM für Konvektions-Diffusions-Probleme
  PAMM 1 (2002), Issue 1, pp. 498-499.
• (with H.-G. Roos) A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation (abstract - pdf-file)
  ETNA 32 (2008), pp. 63-75

• Papers

• Explizite Konstruktion von linearen Mehrschrittblockverfahren.
  Applications of Mathematics 28 (1983), 1-8.
• Erweiterung des G-Stabilitätsbegriffes auf die Klasse der linearen Mehrschrittblockverfahren.
  Applications of Mathematics 28 (1983), 9-20.
• Nonlinear stability behaviour of linear multistep methods (abstract - dvi-file, compressed ps-file)
  BIT 23 (1983), pp. 388-396
• (with R.G. Spallek) A special discretization method for 2D process and device simulation (abstract - dvi-file, compressed ps-file)
  Wiss. Zeitschrift der TU Dresden 43 (1994), Heft 2, pp. 12-19
• Relations between FEM and FVM applied to the Poisson equation (abstract - dvi-file, compressed ps-file)
  Computing 57 (1996), pp. 93-104
• (with T. Graetz) Si-Hall semiconductors - 3D simulation with the finite-difference method and 2D simulation with the box method (abstract - dvi-file, compressed ps-file)
  Wiss. Zeitschrift der TU Dresden 45 (1996), Heft 6, pp. 49-54
• (with H.-P. Scheffler) Convergence analysis of a finite volume method via a new nonconforming finite element method (abstract - dvi-file, compressed ps-file)
  Numerical Methods for Partial Differential Equations 14 (1998), pp. 213-231
• Convergence analysis for an exponentially fitted finite volume method (abstract - dvi-file, compressed ps-file)
  Mathematical Modelling and Numerical Analysis 34 (2000), pp. 1165-1188
• About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation (abstract - dvi-file, compressed ps-file)
  Applications of Mathematics 46 (2001), pp. 13-28
• Convergence analysis for the full-upwind finite volume solution of a convection-diffusion problem (abstract - dvi-file, compressed ps-file)
  Journal of Mathematical Analysis and Applications 264 (2001), pp. 423-449
• Error estimates of a FEM with lumping for parabolic PDEs (abstract - dvi-file, compressed ps-file)
  Computing 68 (2002), pp. 131-141
• A Cell-Centered FVM for the Two-Dimensional Stokes Equation (abstract - dvi-file, compressed ps-file)
  ZAMM 83 (2003), pp. 779-789

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