TY  - GEN
T1  - Staircasing in semidiscrete stabilised inverse diffusion algorithms
A1  - Breuß,Michael
A1  - Welk,Martin
Y1  - 2012/03/06
N2  - 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.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2012/4633
ER  -