Search for dissertations about: "localized orthogonal decomposition"
Showing result 1 - 5 of 7 swedish dissertations containing the words localized orthogonal decomposition.
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1. Generalized finite element methods for time-dependent multiscale problems
Abstract : In this thesis we develop and analyze generalized finite element methods for time-dependent partial differential equations (PDEs). The focus lies on equa- tions with rapidly varying coefficients, for which the classical finite element method is insufficient, as it requires a mesh fine enough to resolve the data. READ MORE
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2. Multiscale methods for evolution problems
Abstract : In this thesis we develop and analyze generalized finite element methods for time-dependent partial differential equations (PDEs). The focus lies on equations with rapidly varying coefficients, for which the classical finite element method is insufficient, as it requires a mesh fine enough to resolve the data. READ MORE
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3. Numerical Analysis of Evolution Problems in Multiphysics
Abstract : In this thesis we study numerical methods for evolution problems in multiphysics. The term multiphysics is commonly used to describe physical phenomena that involve several interacting models. Typically, such problems result in coupled systems of partial differential equations. READ MORE
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4. Experimental validation and numerical upscaling of linear network models for simulation of paper
Abstract : Paper modeling results in complex geometries that lead to enormous numerical problems. The complexity lies in the material's microstructure. Individual paper fibers must be considered for useful material simulations in paper development, where wood composition and other fiber-based parameters are essential. READ MORE
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5. Energy-conservative finite element methods for nonlinear Schrödinger equations
Abstract : This thesis is devoted to numerical methods for nonlinear Schrödingerequations (NLSEs). These equations have applications in a variety offields such as optics, fluid dynamics, solid-state physics and, of course,quantum mechanics. Notably, the cubic NLSE describes the dynamics of Bose-Einstein condensates. READ MORE