Browsing Institut für Mathematik by Title
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20050310BuchA Posteriori DualMixed Adaptive Finite Element Error Control for Lamé and Stokes Equations A Posteriori DualMixed AFE Error ControlA unified and robust mathematical model for compressible and incompressible linear elasticity can be obtained by rephrasing the Herrmann formulation within the HellingerReissner principle. This quasioptimally converging ...

20090702BuchA posteriori error analysis for conforming MITC elements for ReissnerMindlin plates This paper establishes a unified a posteriori error estimator for a large class of conforming finite element methods for the ReissnerMindlin plate problem. The analysis is based on some assumption (H) on the consistency ...

20090702BuchA 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 ...

20051021BuchA Shooting Method for Fully Implicit Index2 DifferentialAlgebraic Equations A shooting method for twopointboundary value problems for fully implicit index1 and 2 differentialalgebraic equations is presented. A combination of the shooting equations with a method of the calculation of consistent ...

20110927BuchA Shortcut to the QOperator Baxter's Qoperator 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 ...

20060101BuchA 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 ...

20060623BuchA unifying theory of a posteriori error control for nonconforming finite element methods Residualbased a posteriori error estimates were derived within one unifying framework for lowestorder conforming, nonconforming, and mixed finite element schemes in [C. Carstensen, Numerische Mathematik 100 (2005) 617637]. ...

20040302BuchA Unifying Theory Of A Posteriori Finite Element Error Control Residualbased a posteriori error estimates are derived wihtin a unified setting for lowestorder conforming, nonconforming, and mixed finite element schemes. The various residuals are identified for all techniques and ...

20051117BuchA 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) ...

20011005BuchAbelian approach to modular forms of neat 2ball 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 ...

20110811BuchAdaptive Stepsize 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 plasmatransport ...

20060101BuchAdditive Schwarz DomainDecomposition method with embedded small scales for Diffusion Equation We present a convergence and error bound study for domaindecomposition methods with very small domains. The idea is to apply very fast solver methods for strips with $h

20051102BuchAlgebroDifferentialgleichungen mit properem Hauptterm und Traktabilitätsindex 1. AlgebroDifferntialgleichungen mit properem Hauptterm 2. Traktabilitätsindex 3. Linearquadratische Optimalsteuerung

20110927BuchAlgorithms of intrinsic complexity for point searching in real singular hypersurfaces

20051103BuchAn explicit matching theorem for level zero discrete series of unit groups of padic simple algebras For $AF$ 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 $D_dF$ of index $d.$ The product $n=dm$ being ...

20051103BuchAn 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 ...

20051107BuchAn 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 ...

20051109BuchAnalyzing the stability behaviour of DAE solutions and their approximations New stability results are proved for linear index2 differential algebraic equations (DAE). They are obtained by means of an improved projector decoupling. On the background of logarithmic norms related to invariant ...

20051103BuchApplications of Differential Calculus to Nonlinear Elliptic Boundary Value Problems with Discontinuous Coefficients We deal with Dirichlet's problem for second order quasilinear nondivergence form elliptic equations with discontinuous coefficients. First we state suitable structure, growth, and regularity conditions ensuring solvability ...

20051114BuchApproximations, 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 ...