An analysis of discretisations of inverse diffusion equations
Keyword(s):
We discuss some important issues arising when approximating numerically stabilised inverse diffusion processes. We prove rigorously the necessity of a minmod-type stabilisation. Furthermore, we give rigorously verified assertions concerning the occurence of undesirable staircasing aka terracing artefacts. The theoretical results are supplemented by numerical tests.
1988 ◽
Vol 53
(6)
◽
pp. 1181-1197
1991 ◽
Vol 56
(3)
◽
pp. 602-618
1996 ◽
Vol 06
(04)
◽
pp. 481-502
◽
Keyword(s):
1995 ◽
Vol 05
(01)
◽
pp. 67-93
◽