Habilitation and PhD Theses

Habilitation and PhD theses completed at AM1 can be found here.

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Publications

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2017

Author(s) Title Source Links
Upscaling of a system of diffusion-reaction equations coupled with a system of ordinary differential equations originating in the context of crystal dissolution and precipitation of minerales in a porous medium. Advances in Mathematical Sciences and Applications. (2017) 26 (1) 39-81. [BibTex]
Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy-Nernst-Planck-Poisson system. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN). (2017) accepted. [doi] [BibTex]
Memory Analysis and Performance Modeling for HPC Applications on Embedded Hardware via Instruction Accurate Simulation. In J. Janech and J. Kostolny and T. Gratkowski (Eds.) Proceedings of the 2015 Federated Conference on Software Development and Object Technologies (2017) 19-34. [doi] [www] [BibTex]
Derivation and Analysis of an Effective Model for Biofilm Growth in Evolving Porous Media. Mathematical Methods in the Applied Sciences. (2017) 40 (8) 2930–2948 . [doi] [BibTex]
An effective model for biofilm growth made by chemotactical bacteria in evolving porous media. SIAM J. Appl. Math.. (2017) 77 (5) 1653–1677. [doi] [BibTex]
Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow. Computational Geosciences. (2017) 1-16. [doi] [www] [BibTex]
Convergence Order Estimates of the Local Discontinuous Galerkin Method for Instationary Darcy Flow. Numerical Methods for Partial Differential Equations. (2017) 33 (4) 1374–1394 . [doi] [BibTex]
A hierarchical scale separation approach for the hybridized discontinuous Galerkin method. Journal of Computational and Applied Mathematics. (2017) 317 500-509. [doi] [www] [BibTex]
A Discontinuous Galerkin Method for the Subjective Surfaces Problem. Journal of Mathematical Imaging and Vision. (2017) 58 (1) 147–161. [doi] [www] [BibTex]
Anisotropic slope limiting for discontinuous Galerkin methods. International Journal for Numerical Methods in Fluids. (2017) 84 (9) 543–565. [doi] [www] [BibTex]
A Priori Error Analysis for the Galerkin Finite Element Semi-discretization of a Parabolic System with Non-Lipschitzian Nonlinearity. Vietnam Journal of Mathematics. (2017) 45 (1) 179–198. [doi] [BibTex]
Convergence Order Estimates of the Local Discontinuous Galerkin Method for Instationary Darcy Flow. Numerical Methods for Partial Differential Equations. (2017) 33 (4) 1374–1394 . [doi] [BibTex]
A numerical study of Haar wavelet priors in an elliptical Bayesian inverse problem. SIAM Journal on Scientific Computing (SISC). (2017) submitted. arXiv:1710.07428. [www] [BibTex]

2016

Author(s) Title Source Links
Energy efficiency of the simulation of three-dimensional coastal ocean circulation on modern commodity and mobile processors. Computer Science - Research and Development. (2016) 31 (4) 225-234. [doi] [www] [BibTex]
Analysis of a modified second-order mixed hybrid BDM₁ finite Element method for transport problems in divergence form. SIAM Journal on Numerical Analysis. (2016) 54 (4) 2359–2378. [doi] [www] [BibTex]
Model based design of biochemical micro-reactors. Frontiers in Bioengineering and Biotechnology. (2016) 4 (13) [doi] [www] [BibTex]
Towards a filtered density function approach for reactive transport in groundwater. Advances in Water Resources. (2016) 90 83-98. [doi] [BibTex]
A priori error analysis for the Galerkin finite element semi-discretization of a parabolic system with non-Lipschitzian nonlinearity. Vietnam Journal of Mathematics. (2016) 1-20. [doi] [BibTex]
Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting. Stochastics and Dynamics. (2016) accepted. [www] [BibTex]
Impact of weak particle inertia on a dilute suspension of ellipsoids. Journal of Computational and Theoretical Transport. (2016) accepted. [www] [BibTex]
A thermodynamically consistent model for multicomponent electrolyte solutions. (2016) arXiv:1605.07455. [www] [BibTex]
Global existence of weak solutions of a model for electrolyte solutions - Part 1: Two-component case. (2016) arXiv:1605.07396. [www] [BibTex]
Global existence of weak solutions of a model for electrolyte solutions - Part 2: Multicomponent case. (2016) arXiv:1605.07445. [www] [BibTex]
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting. Computers and Mathematics with Applications. (2016) 72 (7) 1896-1925. [doi] [www] [BibTex]
Virtualization Guided Tsunami and Storm Surge Simulations for Low Power Architectures. In M. S. Obaidat and J. Kacprzyk and T. Ören and J. Filipe (Eds.) Simulation and Modeling Methodologies, Technologies and Applications: International Conference, SIMULTECH 2015 Colmar, France, July 21-23, 2015 Revised Selected Papers (2016) 99-114. [doi] [www] [BibTex]
Modeling and simulation of coagulation according to DLVO-theory in a continuum model for electrolyte solutions. (2016) arXiv:1605.08602. [www] [BibTex]
Including van der Waals Forces in Diffusion-Convection Equations - Modeling, Analysis, and Numerical Simulations. (2016) arXiv:1608.08431. [www] [BibTex]
Efficient Realization of the mixed fintite elment discretization for nonlinear problems. (2016) arXiv:1610.05528. [BibTex]
Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous Media. (2016) arXiv:1608.08829. [BibTex]
A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers. Advances in Water Resources. (2016) 96 55-67. [doi] [BibTex]

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