Sökning: "ill-posed"

Visar resultat 1 - 5 av 37 avhandlingar innehållade ordet ill-posed.

  1. 1. Numerical Solution of Ill-posed Cauchy Problems for Parabolic Equations

    Författare :Zohreh Ranjbar; Lars Eldén; Per Christian Hansen; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : Ill-posed mathematical problem occur in many interesting scientific and engineering applications. The solution of such a problem, if it exists, may not depend continuously on the observed data. For computing a stable approximate solution it is necessary to apply a regularization method. LÄS MER

  3. 2. 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

  4. 3. Reconstruction of a stationary flow from boundary data

    Författare :Tomas Johansson; Lars-Erik Andersson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Cauchy problem; Generalized Stokes system; Ill-posed problems;

    Sammanfattning : We study a Cauchy problem arising in uid mechanics, involving the socalled stationary generalized Stokes system, where one should recover the ow from boundary measurements. The problem is ill-posed in the sense that the solution does not depend continuously on data.Two iterative procedures for solving this problem are proposed and investigated. LÄS MER

  5. 4. Reconstruction of stresses in plates by incomplete Cauchy data

    Författare :Jonas Lundgren; Björn Gustafsson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : We consider an ill-posed boundary value problem from classical plate theory for the biharmonic equation. The boundary conditions involve incomplete Cauchy data on one part of the boundary and an extra condition on the other part. LÄS MER

  7. 5. Non-linear inverse geothermal problems

    Författare :Dennis Wokiyi; Vladimir Kozlov; Fredrik Berntsson; Mårten Gulliksson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The inverse geothermal problem consist of estimating the temperature distribution below the earth’s surface using temperature and heat-flux measurements on the earth’s surface. The problem is important since temperature governs a variety of the geological processes including formation of magmas, minerals, fosil fuels and also deformation of rocks. LÄS MER