Publications of Alfred Schmidt:

• A. Muntean, M. Böhm, and A. Schmidt: On the motion of internal carbonation layers, in L. Franke, G. Deckelmann, and R. Espinosa-Marzal (Eds.): Simulation of Time Dependent Degradation of Porous Materials, Cuvillier Verlag Göttingen, 2009, 53-66.

• A. Schmidt, B. Suhr, M. Böhm, and M. Hunkel: Simulation of anisotropic dilation behaviour of layered and banded steel samples during phase changes, Philosophical Magazine Letters Vol. 87, No. 11, November 2007, 871-881.

• A. Schmidt, A. Muntean, M. Böhm: Moving carbonation fronts around corners: a self adaptive finite element approach. In: Transport in concrete: Nano- to Macrostructure. TRANSCON 07 (ed. by M. Setzer), pp. 467-476. Aedificatio Publishers, Freiburg, 2007.

• A. Muntean, M. Böhm, A. Schmidt: Moving boundary modeling strategy and two-reaction-zones model for concrete carbonation. In: Transport in concrete: Nano- to Macrostructure. TRANSCON 07 (ed by. M. Setzer), pp. 399-411. Aedificatio Publishers, Freiburg, 2007.

• M. Wolff, M. Böhm, A. Schmidt, and B. Suhr: Material behavior of steel under heat treatment - A mathematical model, 26 p., submitted.

• R.H. Nochetto, A. Schmidt, K.G. Siebert, and A. Veeser: Pointwise A Posteriori Error Estimates for Monotone Semi-linear Equations, Numerische Mathematik 104 (2006), pp. 515-538.

• A. Schmidt, B. Suhr, T. Moshagen, M. Wolff, and M. Böhm: Adaptive Finite Element Simulations for Macroscopic and Mesoscopic Models of Steel, Mat.-wiss. u. Werkstofftech. MATWER 37 (2006), pp. 142-146.

• M. Wolff, M. Böhm, and A. Schmidt: Modelling of steel phenomena and its interactions - an internal-variable approach, Mat.-wiss. u. Werkstofftech. MATWER 37 (2006), pp. 147-151.

• A. Schmidt, B. Suhr, T. Moshagen, M. Wolff, and M. Böhm: Adaptive Finite Element Simulations for Macroscopic and Mesoscopic Models of Steel, Proc. 1st Int. Conf. on Distortion Engineering, 14-16.09.2005 in Bremen, Germany. Zoch, H.-W. ; Lübben, Th. (Eds.), pp. 141-148.

• M. Wolff, M. Böhm, and A. Schmidt: Modelling of steel phenomena and its interactions - an internal-variable approach, Proc. 1st Int. Conf. on Distortion Engineering, 14-16.09.2005 in Bremen, Germany. Zoch, H.-W. ; Lübben, Th. (Eds.), pp. 315-323.

• M. Wolff, M. Böhm, and A. Schmidt: A thermodynamically consistent model of the material behaviour of steel including phase transformations, classical and transformation-induced plasticity, in Trends in Applications of Mathematics to Mechanics (Shaker Verlag, Aachen, 2005), 591-601, eds: Yongqi Wang, Kolumban Hutter.

• A. Muntean, A. Schmidt, and M. Böhm: Numerical Experiments with Self-Adaptive Finite Element Simulations in 2D for the Carbonation of Concrete, 9 p., Report 05-01, ZeTeM Univ. Bremen, 2005.

• M. Wolff, M. Böhm, A. Schmidt, and G. Löwisch: Modelling and testing of transformation-induced plasticity and stress-dependent phase transformations in steel via simple experiments, Computational Materials Science 32 (2005), pp. 604-610.

• A. Schmidt and K.G.Siebert: Design of adaptive finite element software: The finite element toolbox ALBERTA, Springer LNCSE Series 42 (2005).

• M. Wolff, M. Böhm, and A. Schmidt: A thermodynamically consistent model in small deformations of the material behaviour of steel including phase transformations, classical and transformation-induced plasticity, to appear in Proc. XIV-th International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM'04), Seeheim, Germany, August 2004.

• D.Kessler, R.H.Nochetto, and A. Schmidt:: A posteriori error control for the Allen-Cahn Problem: circumventing Gronwall's inequality. Model. Math. Anal. Num. 38 (2004), p. 129-142.

• M. Böhm, M. Hunkel, A. Schmidt, and M. Wolff: Evaluation of various phase-transition models for 100Cr6 for application in commercial FEM programs, J. Phys. IV 120 (2004), 8 p.

• M. Wolff, M. Böhm, and A. Schmidt: Phase transitions and transformation-induced plasticity of steel in the framework of continuum mechanics, J. Phys. IV 120 (2004), 145-152.

• S. Boschert, A. Schmidt, K.G. Siebert, E. Bänsch, K.W. Benz, G. Dziuk, T. Kaiser: Simulation of industrial crystal growth by the vertical Bridgman method. in W. Jäger, H.-J. Krebs (Eds.): Mathematics - Key Technology for the Future, Springer (2003), pp. 315-342.

• A. Schmidt: A Multi-Mesh Finite Element Method for 3D Phase Field Simulations, in P. Colli, C. Verdi und A. Visintin (Eds.): Free Boundary Problems (Proceedings of FBP2002 Trento), Birkhäuser Int. Ser. Numer. Math. Vol. 147 (2003), pp. 293-301.

• M. Wolff, A. Schmidt, and M. Böhm: Numerische Untersuchungen für ein Modell des Materialverhaltens mit Umwandlungsplastizität und Phasenumwandlungen beim Stahl 100Cr6 (Teil 1), 20 p., Report 03-13 ZeTeM Bremen.

• A. Schmidt: A Multi-Mesh Finite Element Method for Phase Field Simulations, in H. Emmerich, B. Nestler, M. Schreckenberg (Eds.): Interface and Transport Dynamics - Computational Modelling, Springer Lecture Notes in Computational Science and Engineering 32 (2003), pp. 208-217.

• B. Haasdonk, M. Ohlberger, M. Rumpf, A. Schmidt, and K.G.Siebert: Multiresolution visualization of higher order adaptive finite element simulations, Computing 70 (2003), pp. 181-204.

• S. Dachkovski, M. Böhm, A. Schmidt, and M. Wolff: Comparison of several kinetic equations for pearlite transformation in 100Cr6 steel, 9 p., Report 03-07 ZeTeM Bremen.

• M. Wolff, M. Böhm, and A. Schmidt: Thermo-mechanical behaviour of steel including phase transitions and transformation-induced plasticity, Proceedings der GAMM-Jahrestagung, Augsburg, 2002, PAMM, 2 (1), pp. 206-207, 2003.

• G.Dziuk and A. Schmidt: When Crystals grow in the Computer, german research 2-3/2002, DFG (Hrsg.), pp. 34-35.

• G.Dziuk and A. Schmidt: Wenn Kristalle im Computer wachsen. Forschung 1-2/2002, DFG (Hrsg.), pp. 19-20.

• K. Lin, S. Boschert, P. Dold, K.W. Benz, O. Kriessl, A. Schmidt, K.G.Siebert, and G. Dziuk: Numerical methods for industrial vertical Bridgman growth of (Cd,Zn)Te, Journal of Crystal Growth 237-239 (2002), pp. 1736-1740

• A. Schmidt and K.G.Siebert: ALBERT: Software for scientific computations and applications, 15 p., Acta Math. Univ. Comenianae 70 (2001), 105-122.

• Z.Chen, R.H.Nochetto, and A. Schmidt: A characteristic Galerkin method with adaptive error control for the continuous casting problem. Comp. Meth. Appl. Mech. Engrg. 189 (2000), 249-276.

• St. Boschert, A. Schmidt, and K.G.Siebert: Numerical Simulation of Crystal Growth by the Vertical Bridgman Method. in J.S. Szmyd and K. Suzuki (Eds.): Modelling of Transport Phenomena in Crystal Growth, Development in Heat Transfer Series, Vol. 6, WIT Press (2000), 61-96.

• A. Schmidt and K.G.Siebert: A posteriori estimators for the h-p version of the finite element method in 1d. Applied Numerical Mathematics 35 (2000), 43-66.

• Z.Chen, R.H.Nochetto, and A. Schmidt: Error Control and Adaptivity for a Phase Relaxation Model. Mathematical Modelling and Numerical Analysis (M2AN) 34 (2000), 775-797.

• A. Schmidt and K.G.Siebert: ALBERT: An adaptive hierarchical finite element toolbox. Manual, 244 p., Preprint 06/2000 Freiburg.

• E.Bänsch and A. Schmidt: Simulation of dendritic crystal growth with thermal convection. Interfaces and Free Boundaries 2 (2000), 95-115.

• R.H.Nochetto, A. Schmidt, and C.Verdi: A posteriori error estimation and adaptivity for degenerate parabolic problems. Math. Comput. 69 (2000), 1-24.

• R.H.Nochetto, A. Schmidt, and C.Verdi: Adaptive solution of parabolic free boundary problems with error control. in I. Athanasopoulos, G. Makrakis, and J.F. Rodrigues (Eds.): Free Boundary Problems: Theory and Applications, Chapman & Hall / CRC Research Notes in Mathematics 409 (1999), 344-355.

• A. Schmidt and K.G.Siebert: Abstract data structures for a finite element package: Design principles of ALBERT. Z. Angew. Math. Mech. 79, Suppl. 1, 49-52 (1999).

• A. Schmidt and K.G.Siebert: Concepts of the finite element toolbox ALBERT. Preprint 17/1998 Freiburg, 12 p., to appear in Notes on Numerical Fluid Mechanics.

• St. Boschert, Th. Kaiser, A. Schmidt, K.G.Siebert, K.W. Benz, and G. Dziuk: Global simulation of (Cd,Zn)Te single crystal growth by the vertical Bridgman technique. in Modelling and Simulation Based Engineering, S.N. Atluri and P.E. O'Donoghue (Eds.), Tech Science Press, Palmdale (1998).

• A. Schmidt: Approximation of crystalline dendrite growth in two space dimensions. Acta Math. Univ. Comenianae 67 (1998), 57-68.

• R.H.Nochetto, A. Schmidt, and C.Verdi: Adaptive solution of phase change problems over unstructured tetrahedral meshes. In M.Bern, J.E.Flaherty, and M.Luskin (eds.): Grid Generation and Adaptive Algorithms, IMA VMA 113 (1999), 163-181.

• R.H.Nochetto, A. Schmidt, and C.Verdi: Adapting meshes and time-steps for phase change problems. Rend. Mat. Acc. Lincei s. 9, v. 8 (1997), 273-292

• R.H.Nochetto, A. Schmidt, and C.Verdi: Error control for phase change problems. In P. Argoul, F. Fremond, and Q.S. Nguyen (Eds.): IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics, Solid Mechanics and its Applications Vol. 66, Kluwer (1999), 53-61

• A. Schmidt and K.G.Siebert: Numerical Aspects of Parabolic Free Boundary Problems - Adaptive Finite Element Methods. Manuscript 70 p., Freiburg/Jyväskylä (1997)

• A. Schmidt: Computation of three dimensional dendrites with finite elements. Journal of Computational Physics 125 (1996), 293-312

• M.Rumpf, A. Schmidt, and K.G.Siebert: Functions defining Arbitrary Meshes - A Flexible Interface between Numerical Data and Visualization Routines. Computer Graphics Forum 15 (1996), 129-141

• M.Rumpf, A. Schmidt, and K.G.Siebert: On a unified visualization approach for data from advanced numerical methods. In R. Scateni, J. Van Wijk, P. Zanarini (eds.): Visualization in Scientific Computing '95, Springer (1995), 35-44

• C. Bandle, A. Brillard, G. Dziuk, and A. Schmidt: Course on Mean Curvature Flow. Manuscript 75 p., Freiburg (1994)

• A. Schmidt: Die Berechnung dreidimensionaler Dendriten mit Finiten Elementen. Preprint no. 332, SFB 256 Bonn (1993)

• E.Bänsch and A. Schmidt: A Finite Element Method for Dendritic Growth. In: Computational Crystal Growers Workshop, AMS Selected Lectures in Mathematics (1992), 16-20

• M. Rumpf, A. Schmidt, et al.: GRAPE, GRAphics Programming Environment, Report 8, SFB 256, Bonn (1990)

• H. Stenzel and A. Schmidt: Dreidimensionale graphische Datenverarbeitung. Lecture notes 1988, 1989, 1990, Carl-Cranz-Gesellschaft Oberpfaffenhofen, last one 223 p.

• H. Duvenbeck and A. Schmidt: Darstellung 2- und 3-dimensionaler Strömungen, in H. Jürgens, D. Saupe (Hrsg.): Visualisierung in Mathematik und Naturwissenschaften, Springer (1989)

• H. Stenzel and A. Schmidt: Graphik in TeX-Texten und Texte in GKS-Graphiken, Informationstechnik it 28/6, 348-351, Oldenbourg (1986)

• H. Stenzel, G. Herken, A. Schmidt, and B. Schulze: Integration von Computer-unterstütztem Satz und Computer-Graphik, in F. Nake (Hrsg.): Graphik in Dokumenten, Informatik-Fachberichte 19, 113-123, Springer (1986)

• A. Schmidt: Thin Plate Spline-Approximation durch Interpolation mit freien Knoten. Diplomarbeit, 68 p., Bonn (1985)