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Browsing by Author "Geiser, Jürgen"
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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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2009-02-28ZeitschriftenartikelAdaptive Step-Size Control in Simulation of Diffusive CVD Processes Geiser, Jürgen; Fleck, ChristianWe 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 of chemical ...
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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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2007-01-01ZeitschriftenartikelAnalytical Solutions for Convection-Diffusion-Dispersion-Reaction-Equations with Different Retardation-Factors and Applications in 2d and 3d Geiser, JürgenOur motivation to this paper came from a model simulating a wastedisposal embedded in an overlying rock. The main problem for our model are the large scales that occurred due the coupled reaction terms of our underlying ...
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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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2007-01-01ZeitschriftenartikelError estimates for finite volume element methodsfor convection–diffusion–reaction equations Sinha, Rajen K.; Geiser, JürgenIn this paper, we study finite volume element (FVE) method for convection–diffusion–reaction equations in a two-dimensional convex polygonal domain. These types of equations arise in the modeling of a waste scenario of a ...
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2008-04-17ZeitschriftenartikelFourth-Order Splitting Methods for Time-DependantDifferential Equations Geiser, JürgenThis study was suggested by previous work on the simulation of evolution equations with scale-dependent processes, e.g., wave-propagation or heat-transfer, that are modeled by wave equations or heat equations. Here, we ...
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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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2008-01-01ZeitschriftenartikelHigher-Order Splitting Method for Elastic Wave Propagation Geiser, JürgenMotivated by seismological problems, we have studied a fourth-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 ...
