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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125334] How to use Save/Get for interpolation of unstructured data?
  • From: Ted Sariyski <tsariysk at craft-tech.com>
  • Date: Wed, 7 Mar 2012 05:37:05 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

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


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