Numerical Analysis Groups
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Sarah Eberle Dr. rer. nat., Dipl.-Math. Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 D-72076 Tübingen
Room C3P19, building C (site map) phone: +49 7071 29 72932 fax: +49 7071 29 4322 mail: eberle(at)na.uni-tuebingen.de

Interests

• Wave equations:
  • Elastic and poroelastic wave equation:
    • Stable numerical coupling of interior and exterior problems.
    • Numerical solution by use of finite elements and leapfrog as well as boundary elements and convolution quadrature.
  • Acoustic wave equation:
    • Stable boundary integral formulation of the acoustic wave equation as a transmission problem with mixed boundary conditions.
• Geoscientific problems:
  • Wavelet construction based on fundamental solution and postprocessing.
  • Modeling and simulation of forest fire spreading.
  • Stabilization techniques for convection-dominated convection-diffusion-reaction-problem.
  • Modeling of the radio occultation problem.

Projects

• SFB 1173 - Wave phenomena: analysis and numerics

Preprints and Publications

• S. Eberle, Numerical Experiments of the Coupling of Interior and Exterior Problems for the Elastodynamic Wave Equation in 3D (submitted)
• S. Eberle, The Elastic Wave Equation and the Stable Numerical Coupling of its Interior and Exterior Problems, ZAMM, 2018
• M. Augustin, S. Eberle , M. Grothaus, An Overview on Tools from Functional Analysis. In: Handbook of Mathematical Geodesy, Springer, 2018
• C. Blick, S. Eberle, W. Freeden, Radio Occultation: Principles and Modeling, In: Encyclopedia of Geodesy (Eds. E. Grafarend), Springer, 2016
• M. Augustin, C. Blick, S. Eberle, W. Freeden, Disturbing Potential from Gravity Anomalies: From Globally Reflected Stokes Boundary Value Problem to Locally Oriented Multiscale Modeling, In: Encyclopedia of Geodesy (Eds. E. Grafarend), Springer, 2016
• S. Eberle, Forest Fire Determination: Theory and Numerical Aspects, PhD Thesis, University of Kaiserslautern, Dr. Hut Verlag, 2015
• S. Eberle, W. Freeden, U. Matthes, Forest Fire Spreading, Handbook of Geomathematics (2nd edition) (Eds.: W. Freeden, Z. Nashed, T. Sonar), Springer, Heidelberg, 2014
• M. Augustin, M. Bauer, C. Blick, S. Eberle, W. Freeden, C. Gerhards, M. Ilyasov, R. Kahnt, M. Klug, S. Möhringer, T. Neu, H. Nutz, I. Ostermann, A. Punzi, Modeling Deep Geothermal Reservoirs: Recent Advances and Future Problems, Handbook of Geomathematics (2nd edition) (Eds.: W. Freeden, Z. Nashed, T. Sonar), Springer, Heidelberg, 2014
• C. Blick, S. Eberle, Radio Occultation via Satellites, Handbook of Geomathematics (2nd edition) (Eds.: W. Freeden, Z. Nashed, T. Sonar), Springer, Heidelberg, 2014
• S. Eberle, Modeling and Simulation of Forest Fire Spreading, Lecture Notes in Earth System Sciences, Mathematics of Planet Earth, 2013
• S. Eberle, Mathematical Aspects of Climate Monitoring by Radio Occultation (RO), Diploma Thesis, University of Kaiserslautern, 2010

Selected Talks

• Multiscale decorrelation reflected post-processing for the elastic wave equation, Ninth International Conference "Inverse Problems: Modeling and Simulation", Malta (2018)
• FEM-BEM coupling for wave-type equations in 3d, Zurich Colloquium in Applied and Computational Mathematics, ETH Zürich (2017)
• The 3d elastodynamic wave equation with transparent boundary conditions, SIAM Conference on Mathematical and Computational Issuesn in the Geosciences, Erlangen (2017)
• Stable and convergent interior-exterior coupling of wave-type equations I: elastodynamics, SFB-Seminar (wave phenomena), KIT Karlsruhe (2017)
• The Elastic Wave Equation and the Stable Numerical Coupling of its Interior and Exterior Problems, Kolloquium „Mathematische Methoden in den Natur- und Ingenieurswissenschaften“, TU Graz (2017)
• Die Erde im Wandel - eine mathematische Herausforderung, Tag der Mathematik, Universität Tübingen (2017)
• Boundary Integral Representation for the Elastic Wave Equation, Workshop Analysis and Advanced Numerical Methods for Partial Differential Equations, Strobl (2016)
• Modeling of Forest Fire Spreading with Radial Basis Functions, Joint Mathematics Meetings, San Antonio (2015)

Teaching

• summerterm 2018: lecture Numerik für Informatiker, Bio- und Medieninformatiker
• summerrterm 2017: teaching assistant for Algorithmen der Numerischen Mathematik (lecture, Prof. Lubich)
• winterterm 2016/17: teaching assistant for Numerik (lecture, Prof. Lubich)
• summerterm 2016: lecture Numerik für Informatiker, Bio- und Medieninformatiker
• winterterm 2015/16: teaching assistant for Numerik stationärer Differentialgleichungen (lecture, Prof. Lubich)

Office hour

• appointment by e-mail

Former homepage

• Sarah Eberle (TU Kaiserslautern)