Publikationen/Publications

Monografien/Monographs

  • Q.A. Dang, M. Ehrhardt, G.L. Tran, D. Le, Chapter 6: On the Numerical Solution of Some Problems of Environmental Pollution, in: Environmental Chemistry Research Progress, , P. Robinson, R. Gallo, eds., Nova Science Publishers, New York, USA, 2009, pp. 199--228, (Chapter Published).

  • M. Ehrhardt, eds., Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing, Nova Science Publishers, New York, USA, 2008, vii+352+8 pages, (Collection Published).

  • M. Ehrhardt, Chapter 1: Nonlinear Models in Option Pricing --- An Introduction, in: Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing, , M. Ehrhardt, eds., Nova Science Publishers, New York, USA, 2008, pp. 1--19, (Chapter Published).

  • J. Ankudinova, M. Ehrhardt, Chapter 8: Fixed Domain Transformations and Split-step Finite Difference Schemes for Nonlinear Black--Scholes Equations for American Options, in: Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing, , M. EHRHARDT, eds., Nova Science Publishers, New York, USA, 2008, pp. 243--273, (Chapter Published).

Artikel in Referierten Journalen/Articles in Refereed Journals

  • A.L. Bowers, B.R. Cousins, A. Linke, L.G. Rebholz, New connections between finite element formulations of the Navier--Stokes equations, J. Comput. Phys., 229 (2010) pp. 9020--9025.

  • J. Härdtlein, C. Pflaum, A. Linke, C.H. Wolters, Advanced expression templates programming, Comput. Vis. Sci., 13 (2010) pp. 59--68.

  • O. Gloger, M. Ehrhardt, Th. Dietrich, O. Hellwich, K. Graf, E. Nagel, A threestepped coordinated level set segmentation method for identifying atherosclerotic plaques on MR images, Comm. Numer. Methods Engrg., 25 (2009) pp. 615--638.

  • M. Ehrhardt, J. Sun, Ch. Zheng, Evaluation of exact boundary mappings for one-dimensional semi-infinite periodic arrays, Comm. Math. Sci., 7 (2009) pp. 347--364.
    Moreover, some quantitative comparisons between these two algorithms are

  • J. Fuhrmann, A. Linke, H. Langmach, H. Baltruschat, Numerical calculation of the limiting current for a cylindrical thin layer flow cell, Electrochimica Acta, 55 (2009) pp. 430--438.

  • A. Linke, Collision in a cross-shaped domain --- A steady 2D Navier--Stokes example demonstrating the importance of mass conservation in CFD, Comput. Methods Appl. Mech. Engrg., 198 (2009) pp. 3278--3286.

  • M. Ehrhardt, Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data, Appl. Numer. Math., 58 (2008) pp. 660--673.

  • J. Ankudinova, M. Ehrhardt, On the numerical solution of nonlinear Black--Scholes equations, Comput. Math. Appl., 56 (2008) pp. 799--812.

  • X. Antoine, A. Arnold, Ch. Besse, M. Ehrhardt, A. Schädle, A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations, Commun. Comput. Phys., 4 (2008) pp. 729--796.

  • A. Bratsos, M. Ehrhardt, I.Th. Famelis, A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations, Appl. Math. Comput., 197 (2008) pp. 190--205.

  • M. Ehrhardt, R. Mickens, A fast, stable and accurate numerical method for the Black--Scholes equation of American options, Int. J. Theor. Appl. Finance, 11 (2008) pp. 471--501.

  • M. Ehrhardt, R. Mickens, Discrete models for the cube-root differential equation, Neural Parallel Sci. Comput., 16 (2008) pp. 179--188.

  • M. Ehrhardt, Ch. Zheng, Exact artificial boundary conditions for problems with periodic structures, J. Comput. Phys., 227 (2008) pp. 6877--6894.

  • A. Zisowsky, M. Ehrhardt, Discrete artificial boundary conditions for nonlinear Schrödinger equations, Math. Comput. Modelling, 47 (2008) pp. 1264--1283.

  • J. Fuhrmann, H. Zhao, E. Holzbecher, H. Langmach, M. Chojak, R. Halseid, Z. Jusys, R. Behm, Experimental and numerical model study of the limiting current in a channel flow cell with a circular electrode, Phys. Chem. Chem. Phys., 10 (2008) pp. 3784--3795.

Beiträge zu Sammelwerken/Contributions to Collected Editions

  • M. Ehrhardt, J. Fuhrmann, A. Linke, E. Holzbecher, Mathematical modeling of channel-porous layer interfaces in PEM fuel cells, in: Proceedings of FDFC2008 --- Fundamentals and Developments of Fuel Cell Conference 2008, Nancy, France, December 10--12 (CD), 2008, pp. 8 pages.

Preprints, Reports, Technical Reports

  • J. Fuhrmann, H. Zhao, H. Langmach, Y.E. Seidel, Z. Jusys, R.J. Behm, The role of reactive reaction intermediates in two-step heterogeneous electro-catalytic reactions: A model study, Preprint no. 1522, WIAS, Berlin, 2010.

  • J. Fuhrmann, H. Langmach, A. Linke, A numerical method for mass conservative coupling between fluid flow and solute transport, Preprint no. 1521, WIAS, Berlin, 2010.

  • M. Case, V. Ervin, A. Linke, L. Rebholz, Improving mass conservation in FE approximations of the Navier Stokes equations using continuous velocity fields: A connection between grad-div stabilization and Scott--Vogelius elements, Preprint no. 1510, WIAS, Berlin, 2010.

  • R. Eymard, Th. Gallouët, R. Herbin, A. Linke, Convergence of a finite volume scheme for the biharmonic problem, Preprint no. 1482, WIAS, Berlin, 2010.

  • M. Ehrhardt, Ch. Zheng, Fast numerical methods for waves in periodic media, Preprint no. 1441, WIAS, Berlin, 2009.

  • L. Sumichrast, M. Ehrhardt, Comparison of the continuous, semi-discrete and fully-discrete transparent boundary conditions (TBC) for the parabolic wave equation 1. Theory, Preprint no. 1440, WIAS, Berlin, 2009.

  • M. Ehrhardt, J. Fuhrmann, A. Linke, A model of an electrochemical flow cell with porous layer, Preprint no. 1437, WIAS, Berlin, 2009.

  • M. Ehrhardt, Ch. Zheng, Implementing exact absorbing boundary condition for the linear one-dimensional Schrödinger problem with variable potential by Titchmarsh--Weyl theory, Preprint no. 1426, WIAS, Berlin, 2009.

  • M. Ehrhardt, Absorbing boundary conditions for hyperbolic systems, Preprint no. 1421, WIAS, Berlin, 2009.

Vorträge, Poster/Talks, Poster

  • J. Fuhrmann, Numerical modeling in electrochemistry by Voronoi finite volume methods, 7th International Conference on Numerical Methods and Applications, August 20-24, 2010, Borovets, Bulgaria, August 23, 2010.

  • A. Linke, On finite volume methods for coupled flows on Delaunay meshes and the preservation of the local maximum principle, International Conference of Boundary and Interior Layers (BAIL 2010), July 5-9, 2010, University of Zaragoza, Spain, July 8, 2010.

  • A. Linke, On the grad-div stabilization with large stabilization parameter, Workshop on 6th Variational Multiscale methods, May 27-28, 2010, Université de Pau et des Pays de l'Adour, France, May 28, 2010.

  • A. Linke, The problem of weak mass conservation in the discretization of the incompressible Navier-Stokes equations, Université Blaise Pascal, Clermont-Ferrand II, France, July 13, 2010.

  • A. Linke, Zur Bedeutung der Massenerhaltung in gekoppelten Strömungsprozessen, Ruhr-Universität Bochum, Fakultät für Mathematik, December 8, 2010.

  • A. Linke, Zur Bedeutung der Massenerhaltung in gekoppelten Strömungsprozessen, Zum Problem der Massenerhaltung bei der Diskretisierung inkompressibler Strömungen, Brandenburgische Technische Universität Cottbus, Fakultät 1 für Mathematik, Naturwissenschaften und Informatik, December 10, 2010.

  • H. Zhao, Production of intermediate in electrocatalytic processes: Asymptotic and numerical model problem study, Workshop on 7th Symposium on Fuel Cell Modelling and Experimental Validation (MODVAL 7), March 23-24, 2010, Morges, Switzerland, March 23, 2010.

  • M. Ehrhardt, A high order finite element method for waves in periodic structures, 9th International Conference on Spectral and High Order Methods (ICOSAHOM09), Minisymposium ``High-order Methods for Linear and Nonlinear Wave Equations'', June 22-26, 2009, Norwegian University of Science and Technology, Trondheim, June 24, 2009.

  • M. Ehrhardt, Numerical simulation of periodic structure problems, Minisymposium ``Transparent Boundary Conditions'', Konrad-Zuse-Zentrum für Informationstechnik Berlin, January 19, 2009.

  • M. Ehrhardt, Numerical simulation of periodic structure problems, Swiss Numerical analysis day, University of Basel, Department of Computer Science and Department of Mathematics, Switzerland, April 24, 2009.

  • M. Ehrhardt, The fluid-porous interface problem: Analytic and numerical solutions to flow cell problems, 6th Symposium on Fuel Cell Modelling and Experimental Validation (MODVAL 6), March 25-26, 2009, Evangelische Akademie Baden, Bad Herrenalb, March 26, 2009.

  • M. Ehrhardt, The fluid-porous interface problem: Analytic and numerical solutions to flow cell problems, Mathematical Models in Medicine, Business, Engineering (XI JORNADAS IMM), September 8-11, 2009, Technical University of Valencia, Institute of Multidisciplinary Mathematics, Spain, September 10, 2009.

  • M. Ehrhardt, J. Fuhrmann, A. Linke, Finite volume methods for the simulation of flow cell experiments, Workshop ``New Trends in Model Coupling --- Theory, Numerics & Applications'' (NTMC'09), Paris, France, September 2-4, 2009.

  • J. Fuhrmann, Mathematical and numerical modeling of fuel cells and electrochemical flow cells, Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Kaiserslautern, December 1, 2009.

  • J. Fuhrmann, Mathematical and numerical models of electrochemical processes related to porous media, International Conference on Non-linearities and Upscaling in Porous Media (NUPUS), October 5-7, 2009, Universität Stuttgart, October 6, 2009.

  • J. Fuhrmann, Model based numerical impedance calculation in electrochemical systems, 6th Symposium on Fuel Cell Modelling and Experimental Validation (MODVAL 6), March 25-26, 2009, Evangelische Akademie Baden, Bad Herrenalb, March 25, 2009.

  • J. Fuhrmann, Modeling of reaction diffusion problems in semiconductor photoresists, Seventh Negev Applied Mathematical Workshop, July 6-8, 2009, Ben Gurion University of the Negev, Jacob Blaustein Institute for Desert Research, Sede Boqer Campus, Israel, July 8, 2009.

  • J. Fuhrmann, Numerical modeling in electrochemistry, Conference on Scientific Computing (ALGORITMY 2009), March 15-20, 2009, Slovak University of Technology, Department of Mathematics and Descriptive Geometry, Podbanské, March 17, 2005.

  • A. Linke, A finite volume scheme for incompressible flows in electrochemistry, Workshop on Numerical Methods for Applications, November 5-6, 2009, Lanke, November 6, 2009.

  • A. Linke, Divergence-free mixed finite elements for the incompressible Navier--Stokes equations, Universität Stuttgart, Institut für Wasserbau, December 8, 2009.

  • A. Linke, Mass conservative coupling of fluid flow and species transport in electrochemical flow cells, 13th Conference on Mathematics of Finite Elements and Applications (MAFELAP 2009), June 9-12, 2009, Brunel University, London, UK, June 10, 2009.

  • A. Linke, The discretization of coupled flows and the problem of mass conservation, Workshop on Discretization Methods for Viscous Flows, Part II: Compressible and Incompressible Flows, June 24-26, 2009, Porquerolles, Toulon, France, June 25, 2009.

  • A. Linke, The discretization of coupled flows and the problem of mass conservation, Seventh Negev Applied Mathematical Workshop, July 6-8, 2009, Ben Gurion University of the Negev, Jacob Blaustein Institute for Desert Research, Sede Boqer Campus, Israel, July 7, 2009.

  • M. Ehrhardt, Mathematical modeling of channel --- Porous layer interfaces in PEM fuel cells, Fundamentals and Developments of Fuel Cells 2008 Conference (FDFC2008), December 10-12, 2008, Nancy, France, December 12, 2008.

  • M. Ehrhardt, Numerical Simulation of Periodic Structure Problems, Humboldt-Universität zu Berlin, June 13, 2008.

  • M. Ehrhardt, Numerical methods in finance (block lecture), Master's Program in Financial Mathematics, November 2-12, 2008, Halmstad University, Sweden.

  • M. Ehrhardt, Numerical simulation of coupled flow in porous media, Université des Sciences et Technologies de Lille, Laboratoire Paul Painlevé, INRIA SIMPAF Team, France, September 24, 2008.

  • M. Ehrhardt, Numerical simulation of periodic structure problems, École Nationale Supérieure de Techniques Avancées (ENSTA), Paris, France, June 19, 2008.

  • M. Ehrhardt, Numerical solution of periodic structure problems, Comenius University, Bratislava, Slovakia, June 4, 2008.

  • M. Ehrhardt, Numerische Lösung von PDGln auf unbeschränkten Gebieten, Bergische Universität Wuppertal, October 24, 2008.

  • M. Ehrhardt, Numerische Lösung von PDGln auf unbeschränkten Gebieten, Carl von Ossietzky Universität Oldenburg, August 28, 2008.

  • M. Ehrhardt, Numerische Lösung von PDGln auf unbeschränkten Gebieten mit Anwendungen in der Physik, Heinrich-Heine-Universität Düsseldorf, October 1, 2008.

  • M. Ehrhardt, Numerische Lösung von PDGln auf unbeschränkten Gebieten und Level-Set-Methoden in der medizinischen Bildverarbeitung, Universität Koblenz-Landau, April 9, 2008.

  • M. Ehrhardt, On the numerical solution of nonlinear Black--Scholes equations, Johann Wolfgang Goethe-Universität, Frankfurt am Main, October 6, 2008.

  • M. Ehrhardt, The numerical solution of nonlinear Black--Scholes equations, 4th Workshop on Nonlinear PDEs and Financial Mathematics, April 3-4, 2008, Halmstad University, Sweden, April 3, 2008.

  • M. Ehrhardt, O. Gloger, Th. Dietrich, O. Hellwich, K. Graf, E. Nagel, Level Set Methoden zur Segmentierung von kardiologischen MR-Bildern, 22. Treffpunkt Medizintechnik: Fortschritte in der medizinischen Bildgebung, Charité, Campus Virchow Klinikum Berlin, May 22, 2008.

  • E. Bänsch, H. Berninger, U. Böhm, A. Bronstert, M. Ehrhardt, R. Forster, J. Fuhrmann, R. Klein, R. Kornhuber, A. Linke, A. Owinoh, J. Volkholz, Pakt für Forschung und Innovation: Das Forschungsnetzwerk ``Gekoppelte Strömungsprozesse in Energie- und Umweltforschung'', Show of the Leibniz Association ``Exzellenz durch Vernetzung. Kooperationsprojekte der deutschen Wissenschaftsorganisationen mit Hochschulen im Pakt für Forschung und Innovation'', Berlin, November 12, 2008.

  • J. Fuhrmann, Limiting current calculation in thin layer flow cells, Friedrich-Alexander-Universität Erlangen-Nürnberg, January 15, 2008.

  • J. Fuhrmann, Modeling and simulation of coupled species transport, porous electrode effects and catalytic reactions in flow cells, 5th International Symposium on Finite Volume Methods for Complex Applications (FVCA5), June 9-13, 2008, Aussois, France, June 9, 2008.

  • J. Fuhrmann, Numerical calculation of limiting current and kinetic parameters in thin layer flow cells, 5th Symposium on Fuel Cell Modelling and Experimental Validation, March 11-12, 2008, Winterthur, Switzerland, March 12, 2008.

  • J. Fuhrmann, Numerical modeling of thin layer flow cells, Universität Münster, Fachbereich Mathematik, January 23, 2008.

  • E. Holzbecher, H. Zhao, J. Fuhrmann, A. Linke, H. Langmach, Numerical investigation of thin layer flow cells, 4th Gerischer Symposium, Berlin, June 25-27, 2008.

  • A. Linke, Colliding flow in a cross-shaped domain --- A 2D Navier--Stokes example for the importance of mass-conservation in CFD, International Conference of Boundary and Interior Layers --- Computational and Asymptotic Methods (BAIL 2008), July 28-August 1, 2008, University of Limerick, Ireland, July 28, 2008.

  • A. Linke, Mass conservative coupling of fluid flow and species transport in electrochemical flow cells, Annual Meeting of the Deutsche Mathematiker-Vereinigung 2008, September 15-19, 2008, Friedrich-Alexander-Universität Erlangen-Nürnberg, September 16, 2008.

  • A. Linke, Mass conservative coupling of fluid flow and species transport in electrochemical flow cells, Georg-August-Universität Göttingen, November 11, 2008.

 
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