COMSOL Multiphysics™

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BezierCurve BezierCurve Supported Versions 0 Subtype of Fields BezierMfd The class is defined by the following fields ENTITY/ OBJECT integer BezierMfd DESCRIPTION Version Parent class containing common data Description A rational Bézier curve is a parameterized curve of the form b() t = p ∑ i = 0 p ∑ i = 0 p b i w i B i () t ------------------------------------- , 0 ≤ t ≤ 1 p w i B i () t where the functions p p B i () t ⎛ ⎞ i p – i = ⎝i⎠ t ( 1 – t) are the Bernstein basis functions of degree p, b i = ( x 1 ,…, x n ) are the control vertices of the n-dimensional space, and w i are the weights, which should always be positive real numbers to get a properly defined rational Bézier curve. A rational Bézier curve has a direction defined by the parameter t. Example The following illustrates a linear Bézier curve. 11 BezierCurve # class 0 0 # version 2 # sdim 0 2 1 # transformation 1 0 # degrees 2 # number of control points # control point coords and weights 0 0 1 1 1 1 See also BSplineCurve 432 | CHAPTER 3: THE <strong>COMSOL</strong> MULTIPHYSICS FILES
BezierMfd BezierMfd Supported Versions 0 Subtype of Fields Manifold The class is defined by the following fields ENTITY/OBJECT VARIABLE DESCRIPTION integer Version integer d Space dimension Transform Transformation class integer m Degree in first parameter integer n Degree in second parameter integer k Number of control points double[k][d+1] P Matrix of control points with the weights in the last column Description The BezierMfd type is the abstract base class for the different type of Bézier surfaces and curves that are supported. These can all be represented in using the generalized equation S( st , ) = m ∑ n ∑ b i, j w i, j Bst ( , ) i = 0 j = 0 --------------------------------------------------------- m n ∑ ∑ w i j i = 0 j = 0 , Bst ( , ) where B are functions as described in the respective entry, and b are the control point coordinates in P and w are the weights stored in the last column of P. See also BSplineMfd 433
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COMSOL Multiphysics COMMAND REFERE
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CONTENTS Chapter 1: Command Referen
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femplot . . . . . . . . . . . . . .
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postarrow . . . . . . . . . . . . .
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BSplineSurf . . . . . . . . . . . .
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1 Command Reference 1
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elpconstr on page 99 elplastic on p
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mirror on page 301 move on page 302
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Commands Grouped by Function User I
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Geometry Objects FUNCTION block2 bl
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Mesh Functions FUNCTION femmesh flc
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Postprocessing Functions FUNCTION m
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FUNCTION elmapextr elmesh elode elp
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FUNCTION PURPOSE REPLACEMENT flsdt
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In FEMLAB 3.0, all FEMLAB 2.3 Eleme
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adaption TABLE 1-1: VALID PROPERTY/
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adaption Convergence Control No mor
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adaption fem.bnd.ind = [1 1 2 2 2 2
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adaption The Coefficient residual c
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assemble Purpose assemble Assemble
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assemble matrix contribution (from
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assemble In FEMLAB 2.3, the size of
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asseminit TABLE 1-3: VALID PROPERTY
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lock2, block3 Purpose block2, block
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chamfer Purpose chamfer Create flat
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circ1, circ2 Purpose circ1, circ2 C
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comsol Purpose comsol Start the COM
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cone2, cone3 Cone objects have the
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curve2, curve3 The coercion functio
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cylinder2, cylinder3 TABLE 1-13: CY
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econe2, econe3 Purpose econe2, econ
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elcconstr Purpose elcconstr Define
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elcontact Purpose elcontact Define
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elcontact See Also elmapextr 57
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elcplextr transformation is used as
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elcplgenint Purpose elcplgenint Def
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elcplproj Purpose elcplproj Define
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elcplproj map1.dg = '1'; map1.dv =
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elcplscalar el.elem = 'elcplscalar'
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elempty Purpose elempty Define some
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elempty clear el; el.elem = 'elempt
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elepspec Examples Given a single-ge
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eleqc Make sure that the integratio
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eleqw fem.elem = [fem.elem {el}]; f
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elgeom Purpose elgeom Define geomet
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elgpspec elgpspec can be added in t
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elinline el.dexpr = {'1/(2*sqrt(a)+
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elinterp el.elem = 'elinterp'; el.n
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elirradiation Purpose elirradiation
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ellip1, ellip2 Purpose ellip1, elli
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ellipsoid2, ellipsoid3 Purpose elli
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elmapextr Purpose elmapextr Define
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elmapextr fem.sol = femeig(fem,'nei
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elode Purpose elode Define global s
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elpconstr Purpose elpconstr Define
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elplastic Purpose elplastic Define
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elpric Purpose elpric Define variab
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elsconstr vector. The normal compon
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elshape TABLE 1-20: BASIC MESH ELEM
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elshell_arg2 Purpose elshell_arg2 C
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elshell_arg2 Postprocessing variabl
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elvar Purpose elvar Define expressi
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extrude Purpose extrude Extrude a 2
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face3 Purpose face3 Create 3D surfa
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femdiff Purpose femdiff Symbolicall
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femeig Purpose femeig Solve eigenva
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femeig where Ω is the L-shaped mem
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femlin KN T N 0 U - U 0 Λ = L M ,
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femlin nullfun and symmetric can be
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femmesh Purpose femmesh Create a me
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femmesh Tetrahedral element (tet):
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femmesh FACE (EDGE NODES) FACE MID
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femnlin Purpose femnlin Solve nonli
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femnlin components fixed, the augme
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femnlin The property Rstep sets a r
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femplot PROPERTY VALUE DEFAULT DESC
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femsim The names of the input varia
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femsim Most of the FEMLAB 2.3 data
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femsol Example Create a solution ob
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femsolver TABLE 1-30: COMMON SOLVER
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femsolver PROBE PLOT PARAMETERS Pro
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femsolver Equations” on page 440
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femsolver TABLE 1-33: DIRECT LINEAR
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femsolver TABLE 1-34: ITERATIVE LIN
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femsolver scalar Shapechg, and the
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femsolver TABLE 1-36: OBSOLETE PROP
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femstate with the property State=on
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femstatic dependent and if these ma
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femtime Purpose femtime Solve time-
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femtime initial values are consiste
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femtime Cautionary In structural me
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femwave and then transforms the PDE
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femwave Weak coefficients are cell
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fillet Purpose fillet Create circul
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flcontour2mesh Purpose flcontour2me
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flform Purpose flform Convert betwe
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flim2curve Purpose flim2curve Creat
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flload Purpose flload Load a COMSOL
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flmesh2spline figure meshplot(msh)
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flnull Purpose flnull Compute null
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flreport Purpose flreport Globally
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flsmhs, flsmsign, fldsmhs, fldsmsig
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gencyl2, gencyl3 s2 = gencyl2(...)
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geom0, geom1, geom2, geom3 edge is
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geom0, geom1, geom2, geom3 See Also
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geomanalyze % Circle moving through
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geomarrayr The input argument g1, g
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geomcomp Purpose geomcomp Analyze g
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geomcsg g = geomcsg(sl,pl,...) deco
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geomcsg TABLE 1-57: GEOMETRY MODEL
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geomdel Purpose geomdel Delete poin
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geomedit Purpose geomedit Edit geom
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geomfile Purpose geomfile Geometry
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geomfile clear fem fem.geom = 'card
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geomgetwrkpln respect to the face.
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geomgroup Examples See Also [g pair
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geomimport TABLE 1-64: VALID PROPER
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geominfo Out specifies the geometry
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geominfo DD = reshape(ff2{m}(im1,im
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geominfo The following commands, se
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geomobject Purpose geomobject Creat
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geomplot design philosophy has been
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geomplot 2D Example Start by creati
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geomposition Purpose geomposition P
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geomspline p agree to within 1000*e
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getparts Purpose getparts Extract p
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line1, line2 Purpose line1, line2 C
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loft gl{2} and so on. It is require
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loft See Also extrude, geomgetwrkpl
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mesh2geom fem.mesh=meshinit(rect2);
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meshcaseadd The mesh case generatio
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meshdel Purpose meshdel Delete elem
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meshembed Purpose meshembed Embed a
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meshenrich TABLE 1-4: VALID PROPERT
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meshexport Purpose meshexport Expor
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meshextrude Purpose meshextrude Ext
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meshimport Purpose meshimport Impor
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meshimport sum of the coordinates o
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meshinit TABLE 1-8: VALID PROPERTY/
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meshinit TABLE 1-8: VALID PROPERTY/
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meshinit TABLE 1-10: MESH PARAMETER
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meshinit The properties xscale, ysc
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meshintegrate Purpose meshintegrate
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meshmap Purpose meshmap Create mapp
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meshmap HAUTO SCALE FACTOR 3 0.55 4
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meshplot Purpose meshplot Plot mesh
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meshplot TABLE 1-11: VALID PROPERTY
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meshplot The bound property group c
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meshplot See Also femmesh, geomplot
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meshqual Purpose meshqual Mesh qual
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meshrefine Purpose meshrefine Refin
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meshrevolve Purpose meshrevolve Rev
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meshsmooth Purpose meshsmooth Smoot
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meshsweep Purpose meshsweep Create
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meshsweep • There can only be one
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mirror Purpose mirror Reflect geome
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multiphysics Purpose multiphysics M
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multiphysics The table below descri
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multiphysics which domain group in
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multiphysics Elements of fem1.***.(
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multiphysics Fem.***.init is constr
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pde2geom Purpose pde2geom Convert a
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point1, point2, point3 Purpose poin
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poisson Purpose poisson Fast soluti
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poly1, poly2 Purpose poly1, poly2 C
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postarrow postarrow Purpose Shortha
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postcont postcont Purpose Shorthand
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postcoord fem.xmesh = meshextend(fe
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postcrossplot points for the differ
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postcrossplot TABLE 1-24: VALID PRO
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postcrossplot postcrossplot(fem,2,6
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posteval Purpose posteval Evaluate
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posteval Solnum is provided, the so
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postflow postflow Purpose Shorthand
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postglobaleval % Evaluate 'r+f' and
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postglobalplot If Outtype is 'handl
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postint Purpose postint Integrate e
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postinterp Purpose postinterp Evalu
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postinterp The property Phase is de
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postlin postlin Purpose Shorthand c
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postmin Purpose postmin Compute min
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postmovie TABLE 1-30: VALID PROPERT
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postplot TABLE 1-31: VALID PROPERTY
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postplot associated to each point o
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postplot fem.equ.c = 1; fem.equ.f =
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postprincbnd postprincbnd Purpose S
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postsurf postsurf Purpose Shorthand
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pyramid2, pyramid3 Purpose pyramid2
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ect1, rect2 Purpose rect1, rect2 Cr
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evolve Purpose revolve Revolve a 2D
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otate e1 = ellip2(0,0,1,3); e2 = ro
Page 391 and 392: sharg_2_5 Purpose sharg_2_5 Create
Page 393 and 394: shcurl Purpose shcurl Create a vect
Page 395 and 396: shdisc Purpose shdisc Create a disc
Page 397 and 398: shgp Purpose shgp Create a Gauss-po
Page 399 and 400: shlag Purpose shlag Create a Lagran
Page 401 and 402: solid0, solid1, solid2, solid3 The
Page 403 and 404: sphere3, sphere2 the evaluation con
Page 405 and 406: square1, square2 Purpose square1, s
Page 407 and 408: tangent Purpose tangent Create a ta
Page 409 and 410: tetrahedron2, tetrahedron3 Purpose
Page 411 and 412: torus2, torus3 TABLE 1-49: TORUS OB
Page 413 and 414: xmeshinfo is requested for. The pro
Page 415 and 416: xmeshinfo TABLE 1-52: NODES STRUCT
Page 417 and 418: xmeshinfo dofs.coords(:,30) % alter
Page 419 and 420: 2 Diagnostics This chapter contains
Page 421 and 422: TABLE 2-2: GEOMETRY MODELING ERROR
Page 423 and 424: 6000-6999 Assembly and Extended Mes
Page 425 and 426: TABLE 2-4: ASSEMBLY AND EXTENDED ME
Page 427 and 428: TABLE 2-5: SOLVER ERROR MESSAGES ER
Page 429 and 430: 9000-9999 General Errors TABLE 2-6:
Page 431 and 432: Solver Error Messages These error m
Page 433 and 434: TABLE 2-7: SOLVER ERROR MESSAGES IN
Page 435 and 436: 3 The COMSOL Multiphysics Files Thi
Page 437 and 438: 2 m1 ######## Types 1 # number of t
Page 439 and 440: To load and save COMSOL Multiphysic
Page 441: Attribute Attribute Supported Versi
Page 445 and 446: BezierTri BezierTri Supported Versi
Page 447 and 448: BSplineMfd BSplineMfd Supported Ver
Page 449 and 450: BSplineSurf BSplineSurf Supported V
Page 451 and 452: Ellipse 0 # reverse 2 0 # major axi
Page 453 and 454: Geom1 Geom1 Supported Versions 1 Su
Page 455 and 456: Geom2 0 0 1 1 2.2999999999999998 1
Page 457 and 458: GeomFile GeomFile Supported Version
Page 459 and 460: Mesh Mesh Supported Versions 1 Subt
Page 461 and 462: MeshCurve MeshCurve Supported Versi
Page 463 and 464: Plane Plane Supported Versions 1 Su
Page 465 and 466: Serializable Serializable Supported
Page 467 and 468: Transform Transform Supported Versi
Page 469 and 470: VectorInt Supported Versions Vector
Page 471 and 472: Examples To illustrate the use of t
Page 473 and 474: 410 506 409 528 762 760 831 859 525
Page 475 and 476: 7 ... 5 5 5 224 # number of up/down
Page 477 and 478: # Faces # up down mfd tol 0 0 1 NAN
Page 479 and 480: INDEX 1D geometry object 196 3D mes
Page 481 and 482: flmesh2spline 186 flngdof 188, 191
Page 483 and 484: second fundamental matrices 226 ser
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