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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125402] Re: How to use Save/Get for interpolation of unstructured
  • From: Ted Sariyski <tsariysk at craft-tech.com>
  • Date: Mon, 12 Mar 2012 04:08:11 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <jj7dri$2ds$1@smc.vnet.net> <201203110906.EAA19348@smc.vnet.net>

On 3/11/2012 5:06 AM, David Bailey wrote:
> On 07/03/2012 10:38, 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
> I think it would help to post some actual code for this. In general, 
> surely if you save an interpolation function, you would expect this 
> function to be recovered using Get - so I cam't see what the issues is.
>
> David Bailey
> http://www.dbaileyconsultancy.co.uk
>
>
data = Table[{{Random[], Random[]}, Random[]}, {i, 1, 10}];
intp = Interpolation[data];
intp[0.1, 0.2]
Out[]:  1.110174

Save["intp.mat", intp];
Quit[]

Get["intp.mat"];
intp[0.1, 0.7]
Out[]: intp[0.1, 0.7]
InterpolatingFunction[{{0.141559,0.972136},{0.0916656,0.927415}},{4,4225,0,{10,2},{2,2},0,0,0,0,Automatic},{NDSolve`FEM`ElementMesh[{{0.141559,0.972136},{0.0916656,0.927415}},{NDSolve`FEM`TriangleElement[<12>]}]},{0.106611,0.195957,0.105951,0.417478,0.901584,0.324786,0.696795,0.424483,0.192741,0.949504},{Automatic}][0.1,0.7]



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