Peer-reviewed

Peer-reviewed Journals and Conferences

    1.  C. Eldred, J. Behrens, K. Simon, “Stable 3D Mixed Multiscale Finite Elements for the L2-de Rham Complex with Rough Coeffcients“, source code , preprint in preparation
    2. Y. Chen, J. Behrens, K. Simon, “Deep Neural Nets for Upscaling Processes in Multiscale Simulations with High Contrast“, in preparation
    3. Y. Chen, K. Simon, J. Behrens, “Extending Legacy Climate Models by Adaptive Mesh Refinement for Single Component Tracer Transport“, submitted (2019), Preprint
    4. K. Simon., J. Behrens, Semi-Lagrangian Subgrid Reconstruction for Advection-Dominant Multiscale Problems, submitted (2019), source code, Preprint
    5. K. Simon., J. Behrens, A Semi-Lagrangian Multiscale Framework for Advection-Dominant Problems, Proceedings of the International Conference on Computational Science (ICCS) 2019, Faro, Portugal (2019), PDF
    6. Y. Chen, K. Simon., J. Behrens, Enabling Adaptive Mesh Refinement for Single Components in ECHAM6, Proceedings of the International Conference on Computational Science (ICCS) 2018, Wuxi, China (2018), PDF
    7. K. Simon., J. Behrens, Multiscale finite elements for transient advection-diffusion equations through advection-induced coordinates,  SIAM Mutiscale Modeling and Simulation MMS, accepted (2018), PDF
    8. K. Simon., R. Basri, Elasticity-based Matching by Minimizing the Symmetric Difference of Shapes, IET Computer Vision (2017), PDF
    9. K. Simon., S. Sheorey, D. Jacobs, R. Basri, A Hyperelastic Two-Scale Optimization Model for Shape Matching, SIAM Journal on Scientific Computing SISC 2016, PDF
    10. K. Simon, S. Sheorey, D. Jacobs, R. Basri, A Linear Elastic Force Optimization Model for Shape Matching, Journal of Mathematical Imaging and Vision (2015) PDF
    11. Y. Guo, K. Simon and E.S. Titi, Global Well-posedness of a System of Nonlinearly Coupled KdV equations of Majda and Biello, Communications in Mathematical Sciences (2014), PDF

Thesis

    1. K. Simon, Linear and Nonlinear Elasticity Models for Shape Matching, PhD thesis, The Weizmann Institute of Science (Israel), 2015, PDF
    2. K. Simon, Methoden der Theorie Monotoner Operatoren und ihre Anwendung auf Integral- und Integro-Differenzialgleichungen, Diploma thesis (in German), University of Leipzig (Germany), 2009, PDF