Sökning: "a posteriori error estimates"
Visar resultat 21 - 25 av 35 avhandlingar innehållade orden a posteriori error estimates.
21. Adaptive finite element methods for multiphysics problems
Sammanfattning : In this thesis we develop and analyze the performance ofadaptive finite element methods for multiphysics problems. Inparticular, we propose a methodology for deriving computable errorestimates when solving unidirectionally coupled multiphysics problemsusing segregated finite element solvers. LÄS MER
22. On the Finite Element Method for the Time-Dependent Ginzburg-Landau Equations
Sammanfattning : This thesis is primarily concerned with various issues regarding finite element approximation of the time-dependent Ginzburg-Landau equations. The time-dependent Ginzburg-Landau equations is a macroscopic, phenomenological model of superconductivity, consisting of a system of nonlinear, parabolic partial differential equations. LÄS MER
23. Finite element methods for multiscale/multiphysics problems
Sammanfattning : In this thesis we focus on multiscale and multiphysics problems. We derive a posteriori error estimates for a one way coupled multiphysics problem, using the dual weighted residual method. LÄS MER
24. Computational Modeling of Complex Flows
Sammanfattning : In this thesis we consider the following aspects of computational modeling of complex flows: (i) subgrid modeling, (ii) stability, (iii) a posteriori error estimation, and (iv) computational platform. We develop a framework for adaptivity and error control for multiscale problems, in particular for turbulent flow, based on a posteriori error estimates. LÄS MER
25. Valuing Path-Dependent Options using the Finite Element Method, Duality Techniques, and Model Reduction
Sammanfattning : In this thesis we develop an adaptive finite element method for pricing of several path-dependent options including barrier options, lookback options, and Asian options. The options are priced using the Black-Scholes PDE-model, and the resulting PDE:s are of parabolic type in one spatial dimension with different boundary conditions and jump conditions at monitoring dates. LÄS MER