Timeline for Should we always expect FEM error plots to be straight lines?
Current License: CC BY-SA 4.0
14 events
when toggle format | what | by | license | comment | |
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Jul 18, 2019 at 5:56 | vote | accept | Thangachelli Debopritama | ||
Jul 16, 2019 at 9:33 | answer | added | knl | timeline score: 3 | |
Jul 16, 2019 at 4:34 | comment | added | user7440 | -- A direct linear solver (like MUMPS) has no impact for the level of errors you are considering (i.e. ~ $10^{-3}$) -- When the problem is coercive (i.e. $\sqrt{ a(v,v) }$ is equivalent to a norm), using a series of nested meshes will guarantee that the error decreases with $h$... but not that you get a straight line. | |
Jul 16, 2019 at 4:26 | comment | added | user7440 | * You are correct that only the upper bound is a straight line. | |
Jul 14, 2019 at 3:40 | comment | added | Thangachelli Debopritama | @nicoguaro I will certainly try this, but is there a reason behind why this may cause such a behaviour? | |
Jul 14, 2019 at 1:25 | comment | added | nicoguaro♦ | Have you tried refining the mesh instead, splitting by 4 every element every time, assuming it's a 2D problem. | |
Jul 14, 2019 at 1:13 | comment | added | Thangachelli Debopritama | @nicoguaro Yes, this is true. I am creating a new mesh every time. | |
Jul 13, 2019 at 20:39 | comment | added | nicoguaro♦ | Judging from the plots, it does not seem like you are refining the mesh but creating a new one with different size every time, is that correct? | |
Jul 13, 2019 at 16:20 | history | edited | Thangachelli Debopritama | CC BY-SA 4.0 |
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Jul 13, 2019 at 10:44 | history | edited | Thangachelli Debopritama | CC BY-SA 4.0 |
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Jul 13, 2019 at 3:00 | history | tweeted | twitter.com/StackSciComp/status/1149876303920848897 | ||
Jul 13, 2019 at 1:34 | comment | added | Paul | If you implement a method that converges with polynomial order N in the mesh size (and implement it correctly), that is what you should expect. | |
Jul 12, 2019 at 22:13 | history | edited | nicoguaro♦ | CC BY-SA 4.0 |
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Jul 12, 2019 at 21:12 | history | asked | Thangachelli Debopritama | CC BY-SA 4.0 |