Sökning: "a priori error estimates"

Visar resultat 1 - 5 av 22 avhandlingar innehållade orden a priori error estimates.

1. 1. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

   Författare :Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

   Sammanfattning : 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. LÄS MER

3. 2. A priori and a posteriori error estimates and adaptive finite element methods for a model eigenvalue problem

   Författare :Christina Nystedt; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : .... LÄS MER

4. 3. A moving boundary problem for capturing the penetration of diffusant concentration into rubbers : Modeling, simulation and analysis

   Författare :Surendra Nepal; Adrian Muntean; Yosief Wondmagegne; Magnus Ögren; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Moving boundary problem; finite element method; a priori error estimate; a posteriori error estimate; order of convergence; diffusion of chemicals into rubber; swelling; Matematik; Mathematics;

   Sammanfattning : 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. LÄS MER

5. 4. Multiscale Methods and Uncertainty Quantification

   Författare :Daniel Elfverson; Axel Målqvist; Frédéric Legoll; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; multiscale methods; finite element method; discontinuous Galerkin; Petrov-Galerkin; a priori; a posteriori; complex geometry; uncertainty quantification; multilevel Monte Carlo; failure probability; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : 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. LÄS MER

7. 5. On finite element schemes for Vlasov-Maxwell system and Schrödinger equation

   Författare :Christoffer Standar; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Nonlinear Schrödinger equation; Nitsche scheme; Streamline diffusion; Vlasov-Maxwell; a posteriori error analysis; a priori error analysis; hp-scheme; a posteriori error analysis;

   Sammanfattning : 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. LÄS MER