Search for dissertations about: "a priori error analysis"
Showing result 1 - 5 of 32 swedish dissertations containing the words a priori error analysis.
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1. On finite element schemes for Vlasov-Maxwell system and Schrödinger equation
Abstract : This thesis treats finite element schemes for two kind of problems, the Valsov-Maxwellsystem and the nonlinear Schrödinger equation. We study streamline diffusion schemes applied for numerical solution of the one and one-half dimensional relativistic Vlasov-Maxwell system. The study is made both in a priori and a posteriori settings. READ MORE
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2. A moving boundary problem for capturing the penetration of diffusant concentration into rubbers : Modeling, simulation and analysis
Abstract : We propose a moving-boundary scenario to model the penetration of diffusants into rubbers. Immobilizing the moving boundary by using the well-known Landau transformation transforms the original governing equations into new equations posed in a fixed domain. READ MORE
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3. Mathematical analysis and approximation of a multiscale elliptic-parabolic system
Abstract : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. READ MORE
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4. Models for capturing the penetration of a diffusant concentration into rubber : Numerical analysis and simulation
Abstract : Understanding the transport of diffusants into rubber plays an important role in forecasting the material's durability. In this regard, we study different models, conduct numerical analysis, and present simulation results that predict the evolution of the penetration front of diffusants. READ MORE
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5. Multiscale Methods and Uncertainty Quantification
Abstract : In this thesis we consider two great challenges in computer simulations of partial differential equations: multiscale data, varying over multiple scales in space and time, and data uncertainty, due to lack of or inexact measurements.We develop a multiscale method based on a coarse scale correction, using localized fine scale computations. READ MORE