Data Types
type	gaussintegrationpoints_t

subroutine	computefejerpoints1d (Points, Weights, n)

subroutine	computegausspoints1d (Points, Weights, n)

logical function	gausspointsinitialized ()

subroutine	gausspointsinit

type(gaussintegrationpoints_t) function, pointer	gausspoints0d (n)

type(gaussintegrationpoints_t) function, pointer	gausspoints1d (n)

type(gaussintegrationpoints_t) function, pointer	gausspointsptriangle (n)

type(gaussintegrationpoints_t) function, pointer	gausspointstriangle (n)

type(gaussintegrationpoints_t) function, pointer	gausspointsptetra (np)

type(gaussintegrationpoints_t) function, pointer	gausspointstetra (n)

type(gaussintegrationpoints_t) function, pointer	gausspointsppyramid (np)

type(gaussintegrationpoints_t) function, pointer	gausspointspyramid (np)

type(gaussintegrationpoints_t) function, pointer	gausspointspwedge (n)

type(gaussintegrationpoints_t) function, pointer	gausspointswedge (np)

type(gaussintegrationpoints_t) function, pointer	gausspointsquad (np)

type(gaussintegrationpoints_t) function, pointer	gausspointspbrick (nx, ny, nz)

type(gaussintegrationpoints_t) function, pointer	gausspointsbrick (np)

type(gaussintegrationpoints_t) function	gausspoints (elm, np, RelOrder)

Member Function/Subroutine Documentation

subroutine integration::computefejerpoints1d	(	real(kind=dp), dimension(n)	Points,
		real(kind=dp), dimension(n)	Weights,
		integer	n
	)

Subroutine to compute Fejer integration points by FFT.

subroutine integration::computegausspoints1d	(	real(kind=dp), dimension(n)	Points,
		real(kind=dp), dimension(n)	Weights,
		integer	n
	)

Subroutine to compute gaussian integration points and weights in [-1,1] as roots of Legendre polynomials.

References derivpoly(), evalpoly(), messages::info(), refineroots(), and messages::warn().

Referenced by gausspointsinit().

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type( gaussintegrationpoints_t ) function integration::gausspoints	(	type( element_t )	elm,
		integer, optional	np,
		integer, optional	RelOrder
	)

Given element structure return gauss integration points for the element.

Parameters

elm	Structure holding element description
np	Number of requested points
relorder	Relative order of Gauss points (-1,0,+1)

References messages::fatal(), gausspoints0d(), gausspoints1d(), gausspointsbrick(), gausspointsppyramid(), gausspointsptetra(), gausspointsptriangle(), gausspointspwedge(), gausspointspyramid(), gausspointsquad(), gausspointstetra(), gausspointstriangle(), and gausspointswedge().

Referenced by backstressgeneralcompose(), boundaryintegrals(), boundarylocalmatrix(), bulkassembly(), bulkintegrals(), solverutils::calculatenodalweights(), compressibilityintegrate(), computeacousticimpedance(), computeaveragevelocity(), computemasscenter(), computepotential(), computepressureerror(), computestress(), computestressandstrain(), computevelocityerror(), coordinateintegrals(), coupledvelocitymatrix(), dcrboundaryresidual(), dcredgeresidual(), dcrinsideresidual(), diffuseconvectivebboundary(), diffuseconvective::diffuseconvectiveboundary(), diffuseconvectiveboundary(), diffuseconvective::diffuseconvectivecompose(), diffuseconvectivecompose(), diffuseconvectivegenbboundary(), diffuseconvectivegeneral::diffuseconvectivegenboundary(), diffuseconvectivegenboundary(), diffuseconvectivegeneral::diffuseconvectivegencompose(), diffuseconvectivegencompose(), elastboundaryresidual(), elastedgeresidual(), elastinsideresidual(), electricboundaryresidual(), electricedgeresidual(), electricforceintegrate(), electricinsideresidual(), elementutils::elementarea(), elementenergy(), epsilonwall(), explicitstabilisationmatrix(), flowboundaryresidual(), flowedgeresidual(), flowinsideresidual(), elementutils::fluxintegrate(), forceintegrate(), fsiintegration(), defutils::gausspointsboundary(), generalcurrent(), generalelectricflux(), harmmagaxiscompose(), heatboundaryresidual(), heatedgeresidual(), heatinsideresidual(), heavisideintegrate(), inertialmoment(), integconns(), integmassconsistent(), integovera(), integralconstraint(), integratematrix(), integratesource(), jouleintegrate(), laplacecompose(), solverutils::laplacematrixassembly(), levelsettimestep(), elementutils::lineintegrate(), defutils::localbcbdofs(), defutils::localbcintegral(), localboundary(), localboundarymatrix(), localbulkmatrix(), localfluxbc(), localinterfacematrix(), localjumps(), localmatrix(), localmatrixbc(), localmatrixboundary(), localreleaserate(), lumpedcartesianmass(), lumpedfluidicforce(), lumpedsprings(), magnetodynamics2dharmonic(), magnetodynamicscalcfields(), solverutils::massmatrixassembly(), maxwellaxis::maxwellaxisboundary(), maxwellaxis::maxwellaxiscompose(), maxwell::maxwellboundary(), maxwell::maxwellcompose(), maxwellgeneral::maxwellgeneralboundary(), maxwellgeneral::maxwellgeneralcompose(), maxwellstresstensorintegrate(), meshboundary(), navierstokes::navierstokesboundary(), navierstokesboundary(), navierstokes::navierstokescompose(), navierstokescylindrical::navierstokescylindricalboundary(), navierstokescylindrical::navierstokescylindricalcompose(), navierstokesgeneral::navierstokesgeneralboundary(), navierstokesgeneral::navierstokesgeneralcompose(), navierstokes::navierstokeswalllaw(), neohookeanlocalmatrix(), phasechangesolve(), poissonboltzmanncompose(), freesurface::poissonsolve(), polylineintegrals(), potential(), pressureintegrate(), pressurelaplacematrix(), pressuremassmatrix(), schurcomplementimpedancematrix(), schurcomplementmatrix(), schurcomplementslipmatrix(), slipmatrix(), elementdescription::stabparam(), statcurrentboundary(), statcurrentcompose(), statelecboundary(), stateleccompose(), statmagaxiscompose(), statmagcartesiancompose(), steadyphasechange(), stressboundary(), stresslocal::stressboundary(), stressboundaryresidual(), stresslocal::stresscompose(), stressedgeresidual(), stresslocal::stressforcecompose(), stressgeneralboundary(), stressgeneral::stressgeneralboundary(), stressgeneralcompose(), stressgeneral::stressgeneralcompose(), stressinsideresidual(), surfacecenterpoints(), surfaceforceintegration(), surfaceimpedanceintegration(), elementutils::surfaceintegrate(), surfacelocalmatrix(), torque(), totalchargebc(), v2f(), velocityimpedancematrix(), velocitylocalmatrix(), velocityslipmatrix(), navierstokes::vmswalls(), elementutils::volumeintegrate(), meshutils::weightedprojector(), and meshutils::weightedprojector2().

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type(gaussintegrationpoints_t) function, pointer integration::gausspoints0d ( integer n)

References gausspointsinit().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspoints1d ( integer n)

Return gaussian integration points for 1D line element.

Parameters

n	number of points in the requested rule

References messages::error(), and gausspointsinit().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointsbrick ( integer np)

Return gaussian integration points for 3D brick element.

Parameters

np	number of points in the requested rule

References messages::error(), and gausspointsinit().

Referenced by gausspoints(), gausspointspwedge(), and gausspointstetra().

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subroutine integration::gausspointsinit ( )

References computegausspoints1d(), and messages::fatal().

Referenced by gausspoints0d(), gausspoints1d(), gausspointsbrick(), gausspointspbrick(), gausspointsppyramid(), gausspointsptetra(), gausspointsptriangle(), gausspointspwedge(), gausspointspyramid(), gausspointsquad(), gausspointstetra(), gausspointstriangle(), and gausspointswedge().

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logical function integration::gausspointsinitialized ( )

References g().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointspbrick	(	integer	nx,
		integer	ny,
		integer	nz
	)

Return gaussian integration points for 3D brick element for composite rule sum_i=1^nx(sum_j=1^ny(sum_k=1^nz w_ijk f(x_{i,j,k},y_{i,j,k},z_{i,j,k}))).

Parameters

nx	number of points in the requested rule in x direction
ny	number of points in the requested rule in y direction
nz	number of points in the requested rule in z direction

References messages::error(), gausspointsinit(), nx, and ny.

Referenced by gausspointsppyramid(), and gausspointsptetra().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointsppyramid ( integer np)

References gausspointsinit(), and gausspointspbrick().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointsptetra ( integer np)

References gausspointsinit(), and gausspointspbrick().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointsptriangle ( integer n)

References gausspointsinit(), and gausspointsquad().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointspwedge ( integer n)

References gausspointsbrick(), and gausspointsinit().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointspyramid ( integer np)

Return gaussian integration points for 3D prism element.

Parameters

np	number of points in the requested rule

References messages::error(), and gausspointsinit().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointsquad ( integer np)

Return gaussian integration points for 2D quad element.

Parameters

np	number of points in the requested rule

References messages::error(), and gausspointsinit().

Referenced by gausspoints(), gausspointsptriangle(), and gausspointstriangle().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointstetra ( integer n)

Return gaussian integration points for 3D tetra element.

Parameters

n	number of points in the requested rule

References gausspointsbrick(), and gausspointsinit().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointstriangle ( integer n)

Return gaussian integration points for 2D triangle element.

Parameters

n	number of points in the requested rule

References gausspointsinit(), and gausspointsquad().

Referenced by gausspoints().

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type(gaussintegrationpoints_t) function, pointer integration::gausspointswedge ( integer np)

Return gaussian integration points for 3D wedge element.

Parameters

np	number of points in the requested rule

References messages::error(), and gausspointsinit().

Referenced by gausspoints().

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The documentation for this module was generated from the following file:

Integration.src

Data Types

Member Function/Subroutine Documentation