Search Results - "KORNHUBER, RALF"

An analysis of a class of variational multiscale methods based on subspace decomposition by KORNHUBER, RALF, PETERSEIM, DANIEL, YSERENTANT, HARRY

“…Numerical homogenization tries to approximate the solutions of elliptic partial differential equations with strongly oscillating coefficients by functions from…”
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Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems by KORNHUBER, RALF, ZOU, QINGSONG

“…We present and analyze novel hierarchical a posteriori error estimates for self-adjoint elliptic obstacle problems. Our approach differs from straightforward,…”
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ADAPTIVE MULTILEVEL MONTE CARLO METHODS FOR STOCHASTIC VARIATIONAL INEQUALITIES by KORNHUBER, RALF, YOUETT, EVGENIA

“…While multilevel Monte Carlo (MLMC) methods for the numerical approximation of partial differential equations with random coefficients enjoy great popularity,…”
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Numerical simulation of multiscale fault systems with rate- and state-dependent friction by Gräser, Carsten, Kornhuber, Ralf, Podlesny, Joscha

“…We consider the deformation of a geological structure with non-intersecting faults that can be represented by a layered system of viscoelastic bodies…”
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Hierarchical decomposition of domains with fractures by Susanna Gebauer, Kornhuber, Ralf, Yserentant, Harry

“…We consider the efficient and robust numerical solution of elliptic problems with jumping coefficients occurring on a network of thin fractures. We present an…”
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A multidomain discretization of the Richards equation in layered soil by Berninger, Heiko, Kornhuber, Ralf, Sander, Oliver

“…We consider the Richards equation on a domain that is decomposed into nonoverlapping layers, i.e., the decomposition has no cross points. We assume that the…”
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On the efficient and reliable numerical solution of rate-and-state friction problems by Pipping, Elias, Kornhuber, Ralf, Rosenau, Matthias, Oncken, Onno

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Variational formulation of rate- and state-dependent friction problems by Pipping, Elias, Sander, Oliver, Kornhuber, Ralf

“…We propose a variational formulation of rate‐ and state‐dependent models for the dynamic sliding of a linearly elastic block on a rigid surface in terms of two…”
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FAST AND ROBUST NUMERICAL SOLUTION OF THE RICHARDS EQUATION IN HOMOGENEOUS SOIL by BERNINGER, HEIKO, KORNHUBER, RALF, SANDER, OLIVER

“…We derive and analyze a solver-friendly finite element discretization of a time discrete Richards equation based on Kirchhoff transformation. It can be…”
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A Variational Approach to Particles in Lipid Membranes by Elliott, Charles M., Gräser, Carsten, Hobbs, Graham, Kornhuber, Ralf, Wolf, Maren-Wanda

“…A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a…”
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MULTILEVEL MONTE CARLO FINITE ELEMENT METHODS FOR STOCHASTIC ELLIPTIC VARIATIONAL INEQUALITIES by KORNHUBER, RALF, SCHWAB, CHRISTOPH, WOLF, MAREN-WANDA

“…Multilevel Monte Carlo finite element methods (MLMC-FEMs) for the solution of stochastic elliptic variational inequalities are introduced, analyzed, and…”
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Numerical simulation of coarsening in binary solder alloys by Gräser, Carsten, Kornhuber, Ralf, Sack, Uli

“…[Display omitted] •Self-adaptive meshes yield highly resolved interfaces by high concentration of nodes.•The suggested Schur–Newton multigrid solver combines…”
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MULTIGRID METHODS FOR OBSTACLE PROBLEMS by Gräser, Carsten, Kornhuber, Ralf

“…In this review, we intend to clarify the underlying ideas and the relations between various multigrid methods ranging from subset decomposition, to projected…”
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Synchronization of Great Subduction Megathrust Earthquakes: Insights From Scale Model Analysis by Rosenau, Matthias, Horenko, Illia, Corbi, Fabio, Rudolf, Michael, Kornhuber, Ralf, Oncken, Onno

“…The magnitude of great subduction megathrust earthquakes is controlled mainly by the number of adjacent asperities failing synchronously and the resulting…”
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NONSMOOTH NEWTON METHODS FOR SET-VALUED SADDLE POINT PROBLEMS by GRÄSER, Carsten, KORNHUBER, Ralf

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NONSMOOTH NEWTON METHODS FOR SET-VALUED SADDLE POINT PROBLEMS by GRÄSER, CARSTEN, KORNHUBER, RALF

“…We present a new class of iterative schemes for large scale set-valued saddle point problems as arising, e.g., from optimization problems in the presence of…”
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Robust multigrid methods for vector-valued Allen-Cahn equations with logarithmic free energy by KORNHUBER, Ralf, KRAUSE, Rolf

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Adaptive multigrid methods for signorini's problem in linear elasticity by KORNHUBER, Ralf, KRAUSE, Rolf

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Time discretizations of anisotropic Allen-Cahn equations by Graser, C., Kornhuber, R., Sack, U.

“…We consider anisotropic Allen-Cahn equations with interfacial energy induced by an anisotropic surface energy density gamma . Assuming that gamma is positive,…”
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Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems by Graser, C., Kornhuber, R., Sack, U.

“…We present globally convergent nonsmooth Schur-Newton methods for the solution of discrete multicomponent Cahn-Hilliard systems with logarithmic and obstacle…”
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