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- Auflistung Preprints aus dem Institut für Mathematik nach Autor
Auflistung Preprints aus dem Institut für Mathematik nach Autor "Geiser, Jürgen"
Anzeige der Publikationen 1-20 von 51
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2006-01-01BuchA Domain Decomposition method based on iterative Operator Splitting method. Geiser, Jürgen; Kravvaritis, ChristosIn this article a new approach is proposed for constructing domain decomposition methods based on iterative operator splitting methods. We study the convergence properties of such a method. The main feature of the method ...
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2007-04-17BuchA fourth order split scheme for elastic wavepropagation Geiser, Jürgen; Nilsson, StefanMotivated by seismological problems we have studied a 4th order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the ...
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2011-08-11BuchAdaptive Step-size Control in Simulation of diffusive CVD Processes Geiser, Jürgen; Fleck, ChristianIn this paper, we present control strategies of a diffusion process for chemical vapor deposition for metallic bipolar plates. In the models, we discuss the application of different models to simulate the plasma-transport ...
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2006-01-01BuchAdditive Schwarz Domain-Decomposition method with embedded small scales for Diffusion Equation Geiser, Jürgen; Kilian, SusanneWe present a convergence and error bound study for domain-decomposition methods with very small domains. The idea is to apply very fast solver methods for strips with $h
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2011-09-20BuchComputation of Iterative operator-splitting methods Geiser, JürgenIn this paper we describe a computation of iterative operator-splitting method, which are known as competitive splitting methods. We derived a closed form, based on commutators for the iterative method. The schemes apply ...
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2011-08-11BuchConsistency of Iterative Operator-Splitting Methods Geiser, JürgenIn this paper we describe a different operator-splitting method for decoupling complex equations with multi-dimensional and multi-physical processes for applications for porous media and phase-transitions. We introduce ...
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2011-09-20BuchCoupled Navier Stokes-Molecular Dynamics Simulation using Iterative Operator-Splitting Methods Geiser, Jürgen; Steijl, ReneIn this paper, we contribute a multi-scale method based on an iterative operator splitting method, which takes into account the disparity of the macro- and microscopic scales. We couple Navier Stokes and Molecular Dynamics ...
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2006-05-18BuchDiscretisation and Solver Methods for a Model for Solid-Gas-Phase of a Crystal Growth Apparatus. Geiser, JürgenWe present discretisation and solver methods for a model for a solid-gas phase of a crystal growth aparatus. The model-equations are coupled Eulerian- and Heat-transfer-equations with flux-boundary conditions. For more ...
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2009-07-02BuchDiscretization methods with analytical characteristic methods for advection-diffusion-reaction equations and 2d applications Geiser, JürgenOur studies are motivated by a desire to model long-time simulations of possible scenarios for a waste disposal. Numerical methods are developed for solving the arising systems of convection-diffusion-dispersion-reaction ...
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2006-01-01BuchDiscretization methods with analytical solutions for a convection-diffusion-dispersion-reaction-equation and applications in 2D and 3D for waste-scenarios Geiser, JürgenIn this part we describe the numerical methods and the results for our discretization methods for system of convection-diffusiondispersion-reaction equation. The motivation came for the simulation of a scenario of a ...
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2011-08-11BuchDiscretization methods with analytical solutions for a convection-reaction equation with higher-order discretizations Geiser, JürgenWe introduce an improved second-order discretization method for the convection-reaction equation by combining analytical and numerical solutions. The method is derived from Godunov's scheme, see [Godunov 1959] and [Leveque ...
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2006-01-01BuchDiscretization-Optimization Methods for Nonlinear Elliptic Optimal Control Problems with State Constraints Chryssoverghi, Ion; Geiser, Jürgen; Al-Hawasy, J.We consider an optimal control problem described by a second order elliptic boundary value problem, jointly nonlinear in the state and control, with control and state constraints, where the state constraints and cost ...
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2006-01-01BuchDiscretization-Optimization Methods for Nonlinear Elliptic Relaxed Optimal Control Problems with State Constraints. Chryssoverghi, Ion; Coletsos, J.; Geiser, Jürgen; Kokkinis, B.We consider an optimal control problem described by a second order elliptic boundary value problem, jointly nonlinear in the state and control with high monotone nonlinearity in the state, with control and state constraints, ...
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2006-01-01BuchDiscretization-Optimization Methods for Nonlinear Parabolic Relaxed Optimal Control Problems with State Constraints Chryssoverghi, Ion; Coletsos, J.; Geiser, Jürgen; Kokkinis, B.We consider an optimal control problem described by a semilinear parabolic partial differential equation, with control and state constraints, where the state constraints and cost involve also the state gradient. Since this ...
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2011-09-20BuchHigher Order Operator-Splitting Methods via Zassenhaus product formula Geiser, Jürgen; Tanoğlu, GamzeIn this paper, we contribute higher order operator-splitting method improved by Zassenhaus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order ...
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2011-09-27BuchIterative Operator Splitting Method for Coupled Problems Geiser, Jürgen; Küttel, FelixIn this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by eletric fields. Our motivation came to model PE-CVD (plasma-enhanced chemical vapor deposition) ...
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2011-09-20BuchIterative Operator Splitting Methods Geiser, JürgenIn this paper we describe a technique for closed formulation of an iterative operator-splitting method and embed the method in the classical exponential splitting methods. Since iterative operator splitting have been ...
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2011-09-27BuchIterative Operator Splitting Methods For Differential Equations Geiser, JürgenIn this paper we describe an iterative operator-splitting method for bounded operators. Our contribution is a novel iterative method that can be applied as a splitting method to ordinary and partial differential equations. ...
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2011-09-27BuchIterative operator-splitting method Geiser, JürgenIn this paper we describe an iterative operator-splitting method for bounded operators. The contribution is a novel iterative method, that can be applied as a splitting method for ordinary and partial differential equations. ...
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2011-09-20BuchIterative Operator-Splitting Methods and Continuous and Discrete Case Geiser, Jürgen; Tanoğlu, GamzeIn this paper, we contribute waveform relaxation and iterative splitting methods for systems of parabolic differential equations. We could present an analysis comparing both methods and see advantages in the iterative ...