Publications

Samuel Burbulla, and Christian Rohde. A finite-volume moving-mesh method for two-phase flow in fracturing porous media. J. Comput. Phys., 111031, 2022. [PUMA: Discrete Dynamic Finite Fracture Moving-mesh Two-phase algorithm am aperture flow fracture from:brittalenz ians in matrix media methods models porous propagation volume] URL

M. Köppel, I. Kröker, and C. Rohde. Stochastic Modeling for Heterogeneous Two-Phase Flow. In Jürgen Fuhrmann, Mario Ohlberger, and Christian Rohde (Eds.), Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, (77):353-361, Springer International Publishing, 2014. [PUMA: Flow Galerkin Hybrid finite from:mhartmann ians in media; method porous stochastic volume vorlaeufig] URL

Daniel Köster, Oliver Kriessl, and Kunibert G. Siebert. Design of Finite Element Tools for Coupled Surface and Volume Meshes. Numerical Mathematics: Theory, Methods and Applications, (1)3:245-274, 2008. [PUMA: Adaptive design element finite from:mhartmann ians methods, scientific software software, vorlaeufig] URL

S. Brdar, M. Baldauf, A. Dedner, and R. Klöfkorn. Comparison of dynamical cores for NWP models: comparison of COSMO and Dune. Theoretical and Computational Fluid Dynamics, 1-20, Springer-Verlag, 2012. [PUMA: Compressible Density Discontinuous Euler; Finite Galerkin; Inertia Navier???Stokes; current; differences; flow; from:mhartmann gravity ians vorlaeufig] URL

F. D. Gaspoz, P. Morin, and A. Veeser. A posteriori error estimates with point sources in fractional sobolev spaces. Numerical Methods for Partial Differential Equations, (33)4:1018--1042, 2017. [PUMA: Dirac Sobolev a adaptivity, element error estimators, finite fractional from:mhartmann ians mass, methods, posteriori spaces vorlaeufig] URL

Pedro Morin, Kunibert G. Siebert, and Andreas Veeser. Convergence of Finite Elements Adapted for Weaker Norms. In V. Cutello, G. Fotia, and L. Puccio (Eds.), Applied and Industrial Matematics in Italy - II, (75):468-479, World Sci. Publ., Hackensack, NJ, 2007. [PUMA: Adaptivity; conforming convergence elements; finite from:mhartmann ians vorlaeufig] URL

F. D. Gaspoz, C. Kreuzer, K. Siebert, and D. Ziegler. A convergent time-space adaptive $dG(s)$ finite element method for parabolic problems motivated by equal error distribution. Submitted, 2017. [PUMA: a adaptivity, convergence, element equation error estimators, finite from:mhartmann heat ians methods, posteriori vorlaeufig] URL

Andreas Bamberger, Eberhard Bänsch, and Kunibert G. Siebert. Experimental and numerical investigation of edge tones. ZAMM Journal of Applied Mathematics and Mechanics, (84)9:632-646, 2004. [PUMA: edge elements equations;adaptive finite from:mhartmann ians investigation;numerical methods;Navier-Stokes tones;experimental vorlaeufig] URL

Alfred Schmidt, and Kunibert G. Siebert. ALBERT --- Software for Scientific Computations and Applications. Acta Mathematica Universitatis Comenianae, New Ser., (70)1:105-122, 2001. [PUMA: Adaptive design element finite from:mhartmann ians methods, scientific software software, vorlaeufig] URL

Kunibert G. Siebert. A Convergence Proof for Adaptive Finite Elements without Lower Bound. IMA Journal of Numerical Analysis, (31)3:947-970, 2011. [PUMA: adaptivity convergence density elements finite from:mhartmann ians vorlaeufig] URL

Christian Kreuzer, Christian Möller, Alfred Schmidt, and Kunibert G. Siebert. Design and Convergence Analysis for an Adaptive Discretization of the Heat Equation. IMA Journal of Numerical Analysis, 2012. [PUMA: adaptive analysis convergence elements, finite from:mhartmann ians parabolic problems, vorlaeufig] URL