Browsing Institut für Mathematik by Title
Now showing items 23-42 of 329
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2005-03-10BuchA Posteriori Dual-Mixed Adaptive Finite Element Error Control for Lamé and Stokes Equations A Posteriori Dual-Mixed AFE Error ControlA unified and robust mathematical model for compressible and incompressible linear elasticity can be obtained by rephrasing the Herrmann formulation within the Hellinger-Reissner principle. This quasi-optimally converging ...
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2009-07-02BuchA posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates This paper establishes a unified a posteriori error estimator for a large class of conforming finite element methods for the Reissner-Mindlin plate problem. The analysis is based on some assumption (H) on the consistency ...
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2009-07-02BuchA Projector Based Representation of the Strangeness Index Concept The strangeness index concept is generalized and represented by a matrix chain similar to the structure of the tractability index. The properties of the related projectors are proven. A decoupling of the DAE and a ...
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2005-10-21BuchA Shooting Method for Fully Implicit Index-2 Differential-Algebraic Equations A shooting method for two-point-boundary value problems for fully implicit index-1 and -2 differential-algebraic equations is presented. A combination of the shooting equations with a method of the calculation of consistent ...
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2011-09-27BuchA Shortcut to the Q-Operator Baxter's Q-operator is generally believed to be the most powerful tool for the exact diagonalization of integrable models. Curiously, it has hitherto not yet been properly constructed in the simplest such system, the compact ...
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2006-01-01BuchA Spectral Gap Mapping Theorem and Smooth Invariant Center Manifolds for Semilinear Hyperbolic Systems Although the spectral mapping property in general fails it is shown that a ``spectral gap mapping theorem'', which characterizes exponential dichotomy, holds for a general class of semilinear hyperbolic systems of PDEs in ...
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2006-06-23BuchA unifying theory of a posteriori error control for nonconforming finite element methods Residual-based a posteriori error estimates were derived within one unifying framework for lowest-order conforming, nonconforming, and mixed finite element schemes in [C. Carstensen, Numerische Mathematik 100 (2005) 617-637]. ...
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2004-03-02BuchA Unifying Theory Of A Posteriori Finite Element Error Control Residual-based a posteriori error estimates are derived wihtin a unified setting for lowest-order conforming, nonconforming, and mixed finite element schemes. The various residuals are identified for all techniques and ...
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2005-11-17BuchA Vanishing Result for the Universal Bundle on a Toric Quiver Variety Let $Q$ be a finite quiver without oriented cycles. Denote by $\UB \ra \cwtM$ the fine moduli space of stable thin sincere representations of $Q$ with respect to the canonical stability notion. We prove $\mExt^l_{\cwtM}(\UB,\UB) ...
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2001-10-05BuchAbelian approach to modular forms of neat 2-ball lattices Dimension formulasIn previous papers [HoEis], [Ho2000] we found neat Picard modular surfaces with abelian minimal model and, conversely, a divisor criterion on abelian surfaces A for such a situation. For the corresponding ball lattices ...
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2011-08-11BuchAdaptive Step-size Control in Simulation of diffusive CVD Processes In 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 We 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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2005-11-02BuchAlgebro-Differentialgleichungen mit properem Hauptterm und Traktabilitätsindex 1. Algebro-Differntialgleichungen mit properem Hauptterm 2. Traktabilitätsindex 3. Linear-quadratische Optimalsteuerung
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2011-09-27BuchAlgorithms of intrinsic complexity for point searching in real singular hypersurfaces
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2005-11-03BuchAn explicit matching theorem for level zero discrete series of unit groups of p-adic simple algebras For $A|F$ a central simple algebra over a ${\frak p}$-adic local field the group of units $A^\times\cong GL_m(D_d)$ is a general linear group over a central division algebra $D_d|F$ of index $d.$ The product $n=dm$ being ...
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2005-11-03BuchAn Index Analysis from Coupled Circuit and Device Simulation Nowadays the semiconductor devices in an electrical circuit are modelled by equivalent circuits containing basic network elements described by algebraic and ordinary differential equations. But the correct adjustment of ...
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2005-11-07BuchAn unified approach to linear differential algebraic equations and their adjoint equations Instead of a single matrix occuring in the standard setting the leading term of the linear differential equation is composed of a pair of well matched matrices. This problem formulation enables an unified treatment of the ...
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2005-11-09BuchAnalyzing the stability behaviour of DAE solutions and their approximations New stability results are proved for linear index-2 differential algebraic equations (DAE). They are obtained by means of an improved projector decoupling. On the background of logarithmic norms related to invariant ...
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2005-11-03BuchApplications of Differential Calculus to Nonlinear Elliptic Boundary Value Problems with Discontinuous Coefficients We deal with Dirichlet's problem for second order quasilinear non-divergence form elliptic equations with discontinuous coefficients. First we state suitable structure, growth, and regularity conditions ensuring solvability ...
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2005-11-14BuchApproximations, Expansions and Univalued Representations of Multifunctions We consider multifunctions acting between two linear normed spaces and having closed convex images. Approximations are considered which serve as an expansion of it. Generalized delta theorems for random sets in infinite ...
