Zobrazeno 1 - 10
of 67
pro vyhledávání: '"B. Tomas Johansson"'
Autor:
B. Tomas Johansson
Publikováno v:
Comptes Rendus. Mathématique. 359:733-738
Publikováno v:
Numerical Algorithms. 89:431-449
We derive a method of fundamental solutions (MFS) for the numerical solution of an ill-posed lateral Cauchy problem for the hyperbolic wave equation in bounded planar annular domains. The Laguerre transform is applied to reduce the time-dependent lat
Publikováno v:
Journal of Engineering Mathematics. 134
Publikováno v:
Partial Differential Equations and Applications. 3
Publikováno v:
International Journal of Applied and Computational Mathematics. 8
Publikováno v:
Computers & Mathematics with Applications. 78:3514-3526
A numerical implementation of the alternating iterative method is presented for the Cauchy problem of the conductivity equation in planar annular domains. The conductivity is space dependent as opposed to earlier works, where it is assumed constant.
Autor:
B. Tomas Johansson, Roman Chapko
Publikováno v:
Inverse Problems & Imaging. 13:1095-1111
A boundary integral based method for the stable reconstruction of missing boundary data is presented for the biharmonic equation. The solution (displacement) is known throughout the boundary of an annular domain whilst the normal derivative and bendi
We work with a well-known model of reaction-diffusion type for brain tumour growth and accomplish full 3-dimensional (3d) simulations of the tumour in time on two types of imaging data, the 3d Shepp-Logan head phantom image and an MRI T1-weighted bra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d40a50cc81613bba3e5a945758562f18
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-158572
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-158572
An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation
Autor:
B. Tomas Johansson, Roman Chapko
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 98:2010-2021
An incomplete boundary data problem for the biharmonic equation is considered, where the displacement is known throughout the boundary of the solution domain whilst the normal derivative and bending moment are specified on only a portion of the bound
Publikováno v:
International Journal of Mechanical Sciences. :216-223
The problem of reconstructing the solution to a second-order elliptic equation in a doubly-connected domain from knowledge of the solution and its normal derivative on the outer part of the boundary of the solution domain, that is from Cauchy data, i