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ProcessPDESolutions[mdata,sd]

generates InterpolatingFunction objects from the solution data sd and method data mdata.

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NDSolve`FEM`
NDSolve`FEM`

ProcessPDESolutions

ProcessPDESolutions[mdata,sd]

generates InterpolatingFunction objects from the solution data sd and method data mdata.

Details and Options

Examples

Basic Examples  (1)

Load the finite element package:

Wolfram Language code: Needs["NDSolve`FEM`"]

Set up a NumericalRegion:

Wolfram Language code: nr = ToNumericalRegion[Rectangle[{0, 0}, {1, 1 / 2}]]

Set up variable and solution data:

Wolfram Language code: vd = NDSolve`VariableData[{"DependentVariables", "Space"} -> {{u}, {x, y}}]; sd = NDSolve`SolutionData[{"Space"} -> {nr}];

Initialize the partial differential equation data:

Wolfram Language code: mdata = InitializePDEMethodData[vd, sd]

Initialize the linear coefficients:

Wolfram Language code: lcdata = InitializePDECoefficients[vd, sd, "DiffusionCoefficients" -> {{-IdentityMatrix[2]}}]

Initialize the linear boundary condition data:

Wolfram Language code: lbcdata = InitializeBoundaryConditions[vd, sd, {{DirichletCondition[u[x, y] == 0., x == 0]}}]

Solve the PDE:

Wolfram Language code: sdNew = PDESolve[lcdata, lbcdata, vd, sd, mdata];

Post-process the PDE:

Wolfram Language code: ProcessPDESolutions[mdata, sdNew]
Wolfram Research (2019), ProcessPDESolutions, Wolfram Language function, https://reference.wolfram.com/language/FEMDocumentation/ref/ProcessPDESolutions.html.

Text

Wolfram Research (2019), ProcessPDESolutions, Wolfram Language function, https://reference.wolfram.com/language/FEMDocumentation/ref/ProcessPDESolutions.html.

CMS

Wolfram Language. 2019. "ProcessPDESolutions." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/FEMDocumentation/ref/ProcessPDESolutions.html.

APA

Wolfram Language. (2019). ProcessPDESolutions. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/FEMDocumentation/ref/ProcessPDESolutions.html

BibTeX

@misc{reference.wolfram_2026_processpdesolutions, author="Wolfram Research", title="{ProcessPDESolutions}", year="2019", howpublished="\url{https://reference.wolfram.com/language/FEMDocumentation/ref/ProcessPDESolutions.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_processpdesolutions, organization={Wolfram Research}, title={ProcessPDESolutions}, year={2019}, url={https://reference.wolfram.com/language/FEMDocumentation/ref/ProcessPDESolutions.html}, note=[Accessed: 13-June-2026]}