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Re: How to use Save/Get for interpolation of unstructured data?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125350] Re: How to use Save/Get for interpolation of unstructured data?
  • From: Oliver Ruebenkoenig <ruebenko at wolfram.com>
  • Date: Thu, 8 Mar 2012 04:40:05 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com


On Wed, 7 Mar 2012, Ted Sariyski wrote:

> Hi,
>
> I posted this question a couple of days ago but did not get any
> response. Meanwhile I noticed that the Save-d interpolation data contains
> "NDSolve`FEM`ElementMesh", which may relates to my problem. Let me
> restate the question.
>
> I have 2D unstructured data in the form {{{1.22001, 0.00024605},
> 0.816237}, {{1.22334, 0.000250332},0.436219},... } (connectivity is also
> available but I do not know how to use it with Mathematica).
>
> Interpolation issues a warning:
>
> "Interpolation::udeg: Interpolation on unstructured grids is currently
> only supported for InterpolationOrder->1 or InterpolationOrder->All.
> Order will be reduced to 1. >>",
>
> The warning is not an issue for me, the problem is that I cannot use
> Save/Get for this interpolation function. After Get the interpolation
> function instead of a number returns:
>
> intp[1., .8]
>     InterpolatingFunction[{{0.000905256237704326, 1.9993734385285347},  {0.00024605021944692736, 0.9989678166248219}},
> {4, 4225, 0, {10880, 2}, {2, 2}, 0, 0, 0, 0, Automatic},
> {NDSolve`FEM`ElementMesh[{{1.220009724772626, 0.00024605021944692736},
> {1.223336731504134, 0.0002503318707254048}, {1.2273720422942693, ...
>
> which is the non-evaluated  content of the Save-d file.
>
> What is the right way to use Save/Get for interpolation of unstructured
> data?
>
> Any help will be highly appreciated.
> Thanks,
> --Ted
>

Ted,

that's a bug. I think you are probably best off saving the raw data via 
e.g. Save and then reconstruct the interpolation once you read the data 
back in.

Oliver



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