Sökning: "Fredrik Berntsson"

Visar resultat 1 - 5 av 12 avhandlingar innehållade orden Fredrik Berntsson.

  1. 1. Numerical methods for inverse heat conduction problems

    Författare :Fredrik Berntsson; Per Christian Hansen; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Ill-posed; Heat Conduction; Regularization; MATHEMATICS; MATEMATIK;

    Sammanfattning : In many industrial applications one wishes to determine the temperature history on the surface of a body, where the surface itself is inaccessible for measurements. The sideways heat equation is a model of this situation. LÄS MER

  3. 2. Analysis of the Robin-Dirichlet iterative procedure for solving the Cauchy problem for elliptic equations with extension to unbounded domains

    Författare :Pauline Achieng; Vladimir Kozlov; Fredrik Berntsson; Linus Carlssson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis we study the Cauchy problem for elliptic equations. It arises in many areas of application in science and engineering as a problem of reconstruction of solutions to elliptic equations in a domain from boundary measurements taken on a part of the boundary of this domain. LÄS MER

  4. 3. Reconstruction of solutions of Cauchy problems for elliptic equations in bounded and unbounded domains using iterative regularization methods

    Författare :Pauline Achieng; Vladimir Kozlov; Fredrik Berntsson; Alexei Iantchenko; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Cauchy problems for elliptic equations arise in applications in science and engineering. These problems often involve finding important information about an elliptical system from indirect or incomplete measurements. LÄS MER

  5. 4. Accelerated Dirichlet-Robin Alternating Algorithm for Solving the Cauchy Problem for an Elliptic Equation using Krylov Subspaces

    Författare :Jennifer Chepkorir; Vladimir Kozlov; Fredrik Berntsson; Linus Carlsson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis, we study the Cauchy problem for an elliptic equation. We use Dirichlet-Robin iterations for solving the Cauchy problem. This allows us to include in our consideration elliptic equations with variable coefficient as well as Helmholtz type equations. LÄS MER

  7. 5. Regularization methods for solving Cauchy problems for elliptic and degenerate elliptic equations

    Författare :Jennifer Chepkorir; Vladimir Kozlov; Fredrik Berntsson; Alexei Iantchenko; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis, we study Cauchy problems for the elliptic and degenerate elliptic equations. These problems are ill-posed. We split the boundary of the domain into two parts. On one of them, say Γ0, we have available Cauchy data and on remaining part Γ1 we introduce unknown Robin data. LÄS MER