Publications

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: in method finite media; porous Flow ians Hybrid Galerkin from:mhartmann volume stochastic 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: from:mhartmann equations;adaptive edge methods;Navier-Stokes investigation;numerical elements tones;experimental finite vorlaeufig ians] 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: from:mhartmann design software scientific Adaptive finite element software, methods, vorlaeufig ians] 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: parabolic problems, adaptive from:mhartmann elements, convergence finite analysis vorlaeufig ians] 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: from:mhartmann elements; convergence finite Adaptivity; conforming vorlaeufig ians] 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: Finite Density Discontinuous differences; Compressible current; ians Euler; from:mhartmann gravity Navier???Stokes; Galerkin; Inertia flow; 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: from:mhartmann design software scientific Adaptive finite element software, methods, vorlaeufig ians] 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: a Dirac estimators, error finite fractional methods, ians posteriori from:mhartmann adaptivity, element spaces mass, Sobolev vorlaeufig] URL

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: Finite Two-phase models Dynamic in methods from:brittalenz Fracture porous am media fracture Moving-mesh ians matrix aperture volume propagation Discrete flow algorithm] 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 equation estimators, convergence, error finite methods, ians posteriori from:mhartmann adaptivity, element vorlaeufig heat] 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 from:mhartmann convergence elements finite density vorlaeufig ians] URL