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Titlebook: Advanced Finite Element Methods and Applications; Thomas Apel,Olaf Steinbach Book 2013 Springer-Verlag Berlin Heidelberg 2013 Computationa

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https://doi.org/10.1007/978-3-7908-1935-9ighlight strengths and weaknesses of different approaches and hope to stimulate research into closer coupling of the refinement process with efficient solution strategies for the equation systems arising from the discretized equations. A rough overview of different categories of error estimation tec
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,Exkurs: Wie man künstlich Relevanz erzeugt,ion in two-dimensional domains with corners. The method makes use of an explicit expression for the stress intensity factors in terms of the function of the right hand side, the solution of the boundary value problem and smooth cutoff functions to compute from an initial finite element solution appr
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Potsdamer Rechtswissenschaftliche Reihen exact or inexact Schur complements and on interpolation theory. These preconditioners are used within Krylov subspace methods, for which it is shown that the total number of iterations is bounded by global constants. The described techniques are applied to two model problems from optimal control.
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https://doi.org/10.1007/978-3-642-95887-8lues or to polynomial eigenvalue problems. In this paper we consider two classical methods for general holomorphic eigenvalue problems, namely the nonlinear generalized Rayleigh quotient iteration (NGRQI) and the augmented Newton method. The analysis of the convergence order of both methods is based
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https://doi.org/10.1007/978-3-642-95887-8ct to design parameters (i.e., material or geometrical parameters). Utilizing the adjoint approach the derivatives can be calculated at almost no additional cost. The challenge consists in the computation of the required derivatives (i.e., derivatives of bilinear forms with respect to the design par
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Problemstellung und Gang der Untersuchung of different modeling techniques in different subdomains of the system. Based on tearing and interconnecting ideas, the paper introduces the basic concepts of non-sequential field tracing and derives the corresponding operator equations and a solution formula for the simulation task. The evaluation
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