Publications

D. Wirtz, and B. Haasdonk. Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems. Systems and Control Letters, (61)1:203 - 211, 2012. [PUMA: a-posteriori decomposition, dynamical error estimates, from:mhartmann ians kernel methods, model nonlinear offline/online projection reduction, subspace systems, 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

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

I. Martini, G. Rozza, and B. Haasdonk. Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Advances in Computational Mathematics, (41)5:1131--1157, 2015. [PUMA: 65N55; 76D07 76S05; Domain Error Non-coercive Porous Reduced Stokes basis decomposition; equation; estimation; flow; from:mhartmann ians medium method; problem; vorlaeufig] URL

J. Manuel Cascón, Ricardo H. Nochetto, and Kunibert G. Siebert. Design and Convergence of AFEM in $H(div)$. Mathematical Models & Methods in Applied Sciences, (17)11:1849--1881, 2007. [PUMA: A convergence; error estimate; from:mhartmann ians multigrid oscillation; posteriori preconditioning reduction; vorlaeufig] URL

Daniel Wirtz, and Bernard Haasdonk. A-posteriori error estimation for parameterized kernel-based systems. Proc. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, 2012. [PUMA: a-posteriori decomposition, dynamical error estimates, from:mhartmann ians kernel methods, model nonlinear offline/online parameterized projection reduction, subspace systems, vorlaeufig] URL

Fernando D. Gaspoz, and Pedro Morin. Convergence rates for adaptive finite elements. IMA J. Numer. Anal., (29)4:917--936, Oxford University Press, 2009. [PUMA: a adaptive elliptic equations error estimator, from:mhartmann ians mesh posteriori refinement, vorlaeufig]