Please use this identifier to cite or link to this item: doi:10.22028/D291-26329
Title: Staircasing in semidiscrete stabilised inverse diffusion algorithms
Author(s): Breuß, Michael
Welk, Martin
Language: English
Year of Publication: 2006
Free key words: finite difference methods
stabilised inverse diffusion
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: We consider a semidiscrete model problem for the approximation of stabilised inverse linear diffusion processes. The work is motivated by an important observation on fully discrete schemes concerning the so-called staircasing phenomenon: when sharpering montone data profiles, fully discrete methods generally introduce stepfunction-type solutions reminding of staircases. In this work, we show by an analysis of dynamical systems in corresponding semidiscrete formulations, that already the semidiscrete numerical model contains the relevant information on the occurrence of staircasing. Numerical experiments confirm and complement the theoretical results.
Link to this record: urn:nbn:de:bsz:291-scidok-46336
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 165
Date of registration: 6-Mar-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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