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 hdl:20.500.11880/26385 http://dx.doi.org/10.22028/D291-26329 |
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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File | Description | Size | Format | |
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preprint_165_06.pdf | 307,66 kB | Adobe PDF | View/Open |
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