Search for dissertations about: "adaptivity"
Showing result 1 - 5 of 84 swedish dissertations containing the word adaptivity.
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1. Model Adaptivity in Elasticity
Abstract : We consider model adaptivity in elasticity for dimensionally reduced forms, and shall treat different conceptual approaches. The basic idea, however, is to adaptively refine, not only the computational mesh, but also the underlying mathematical formulation. READ MORE
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2. Postprocessing Techniques and Adaptivity in the Finite Element Method
Abstract : The Finite Element (FE) method is an approximate method and as such the accuracy of its solutions must be controlled to allow for a reliable application. This thesis deals with error estimation and improvements of the FE solutions based on superconvergent properties of the FE solution in certain points. READ MORE
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3. Eigenfrequency Analysis FE-Adaptivity and a Nonlinear Eigenproblem Algorithm
Abstract : Engineering often pose the problem of computing the frequencies with which a system oscillates and the corresponding displacement patterns the system forms, and in case damping is present then the rates of which the amplitudes of the displacement patterns decay are also required. It is necessary to compute these quantities within a prescribed accuracy and the effort required for the computations should be minimised. READ MORE
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4. Automation of Computational Mathematical Modeling
Abstract : This thesis concerns the Automation of Computational Mathematical Modeling (CMM), involving the key steps of automation of (i) discretization, (ii) discrete solution, (iii) error control, (iv) modeling, and (v) optimization. The automation of (i)--(ii) is realized through multi-adaptive Galerkin methods on general discretizations of space-time with time steps variable in space. READ MORE
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5. Goal-Oriented Adaptive Finite Element Analysis in Computational Material Mechanics
Abstract : This thesis is concerned with error control in computational material mechanics. A posteriori error estimation and adaptivity for finite element discretizations is investigated. Based on the technique of solving a dual problem, it is possible to control the accuracy of arbitrary quantities. READ MORE