On adaptive grid refinement in the presence of internal or boundary layers. - Ralf Kornhuber; Rainer Roitzsch (IMPACT Comput. Sci. Eng., 1990)

On constrained Newton linearization and multigrid for variational inequalities. - Ralf Kornhuber (Numerische Mathematik, 2002)

Hierarchical decomposition of domains with fractures. - Susanna Gebauer; Ralf Kornhuber; Harry Yserentant (Math. Comput., 2006)

A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. - Peter Bastian; Markus Blatt; Andreas Dedner; Christian Engwer; Robert Klöfkorn; Ralf Kornhuber; Mario Ohlberger; Oliver Sander (Computing, 2008)

Nonsmooth Newton Methods for Set-Valued Saddle Point Problems. - Carsten Gräser; Ralf Kornhuber (SIAM J. Numer. Anal., 2009)

A polynomial chaos approach to stochastic variational inequalities. - Ralf Forster; Ralf Kornhuber (J. Num. Math., 2010)

Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems. - Ralf Kornhuber; Qingsong Zou (Math. Comput., 2011)

Hierarchical error estimates for the energy functional in obstacle problems. - Qingsong Zou; Andreas Veeser; Ralf Kornhuber; Carsten Gräser (Numerische Mathematik, 2011)

Fast and Robust Numerical Solution of the Richards Equation in Homogeneous Soil. - Heiko Berninger; Ralf Kornhuber; Oliver Sander (SIAM J. Numer. Anal., 2011)

Rolf Dieter Grigorieff. Applications of Functional Analysis. - Etienne Emmrich; Ronald H. W. Hoppe; Ralf Kornhuber (Comput. Methods Appl. Math., 2013)

Towards an efficient numerical simulation of complex 3D knee joint motion. - Oliver Sander; Corinna Klapproth; Jonathan Youett; Ralf Kornhuber; Peter Deuflhard (Comput. Vis. Sci., 2013)

Heterogeneous Substructuring Methods for Coupled Surface and Subsurface Flow. - Heiko Berninger; Ralf Kornhuber; Oliver Sander (Domain Decomposition Methods in Science and Engineering XX, 2013)

Multilevel Monte Carlo Finite Element Methods for Stochastic Elliptic Variational Inequalities. - Ralf Kornhuber; Christoph Schwab; Maren-Wanda Wolf (SIAM J. Numer. Anal., 2014)

Numerical Approximation of Multi-Phase Penrose-Fife Systems. - Carsten Gräser; Max Kahnt; Ralf Kornhuber (Comput. Methods Appl. Math., 2016)

Numerical Homogenization of Elliptic Multiscale Problems by Subspace Decomposition. - Ralf Kornhuber; Harry Yserentant (Multiscale Model. Simul., 2016)

Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations. - Ana Djurdjevac; Charles M. Elliott; Ralf Kornhuber; Thomas Ranner (SIAM/ASA J. Uncertain. Quantification, 2018)

An analysis of a class of variational multiscale methods based on subspace decomposition. - Ralf Kornhuber; Daniel Peterseim; Harry Yserentant (Math. Comput., 2018)

Adaptive Multilevel Monte Carlo Methods for Stochastic Variational Inequalities. - Ralf Kornhuber; Evgenia Youett (SIAM J. Numer. Anal., 2018)

A Globally Convergent Filter-Trust-Region Method for Large Deformation Contact Problems. - Jonathan Youett; Oliver Sander; Ralf Kornhuber (SIAM J. Sci. Comput., 2019)

Numerical Homogenization of Fractal Interface Problems. - Ralf Kornhuber; Joscha Podlesny; Harry Yserentant (CoRR, 2020)

Free energy computation of particles with membrane-mediated interactions via Langevin dynamics. - Tobias Kies; Carsten Gräser; Luigi Delle Site; Ralf Kornhuber (CoRR, 2020)

Fractal Homogenization of Multiscale Interface Problems. - Martin Heida; Ralf Kornhuber; Joscha Podlesny (Multiscale Model. Simul., 2020)

Numerical simulation of multiscale fault systems with rate- and state-dependent friction. - Carsten Gräser; Ralf Kornhuber; Joscha Podlesny (CoRR, 2021)

Fredholm Integral Equations for Function Approximation and the Training of Neural Networks. - Patrick Gelß; Aizhan Issagali; Ralf Kornhuber (SIAM J. Math. Data Sci., 2024)