COMSOL Multiphysics™

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BezierSurf BezierSurf 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 rectangular rational Bézier patch of degree p-by-q is described by p ∑ q ∑ i = 0 j = 0 p q b i, j w i, j B i ( s)Bj () t S( s, t) = ----------------------------------------------------------------------, 0 ≤ st , ≤ 1 , p ∑ q ∑ i = 0 j = 0 p q w i, j B i ( s)Bj () t where B i p and Bj q are the Bernstein basis functions of degree p and q, respectively, as described in the entry of BezierCurve. This surface description is called rectangular because the parameter domain is rectangular, that is, the two parameters s and t can vary freely in given intervals. See also BSplineSurf, BezierTri 434 | CHAPTER 3: THE <strong>COMSOL</strong> MULTIPHYSICS FILES
BezierTri BezierTri 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 Another form of surface description is the triangular patch, also called a Bézier triangle. A triangular rational Bézier patch is defined as S( s, t) = ∑ p b i, j w i, j B i, j i + j≤ p p ∑ w i, j B i, j i+ j≤ p ( st , ) ---------------------------------------------------------- , 0 ≤ st , ≤ 1 ( st , ) which differs from the Bézier curve description only by the use of bivariate Bernstein polynomials instead of univariate, for the curve case. The bivariate Bernstein polynomials of degree p are defined as p B i, j ( st , ) p! = i!j! ---------------------------------- ( p– i – j)! s i t j ( 1 – s – t) p – i – j , i+ j ≤ p where the parameters s and t must fulfill the conditions ⎧ ⎨ ⎩ 0 ≤ s, t s+ t≤ 1 which form a triangular domain in the parameter space, therefore the name of this surface description. See also BezierSurf 435
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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
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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 and 442: Attribute Attribute Supported Versi
Page 443: BezierMfd BezierMfd 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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