COMSOL Multiphysics™

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elinterp Purpose elinterp Declare interpolation functions. Syntax Description el.elem = 'elinterp' el.name = fname el.x = xgrid el.y = ygrid el.z = zgrid el.data = fdata el.method = 'nearest' | 'linear' | 'cubic' | 'spline' The elinterp element declares an interpolation function based on a 1D, 2D or 3D data set provided by the user. Interpolation functions take one, two or three arguments, depending on the dimension of the data set. The xgrid, ygrid and zgrid parameters are cell arrays of points, sorted in increasing order, where the data is given. Depending on the dimensions, not all fields are used. For 1D interpolation, the fdata parameter is a cell array of values corresponding to the points in el.x. In the 2D case, the size of fdata is length(xgrid)*length(ygrid), with x increasing fastest, and similarly in 3D. There are four interpolation methods to choose from. Nearest neighbor and linear interpolation are available in all dimensions, while 'cubic' and 'spline' can only be used for interpolation in 1D data sets. The difference between the latter two is, generally speaking, that 'cubic' preserves monotonicity and does not overshoot at the cost of discontinuous second derivatives at the tying points. Cautionary Examples Interpolation is provided only for real numbers. To interpolate complex numbers, real and imaginary parts have to be treated separately. Given the matrices x (1-by-m), y (1-by-n) and F (m-by-n), create a corresponding interpolation element declaring a function f(x,y). cellX = cell(1,m); for i=1:m cellX{i} = num2str(x(i)); end cellY = cell(1,n); for i=1:n cellY{i} = num2str(y(i)); end cellF = cell(1,m*n); for i=1:m*n cellF{i} = num2str(F(i)); end 84 | CHAPTER 1: COMMAND REFERENCE
elinterp el.elem = 'elinterp'; el.name = 'f'; el.x = cellX; el.y = cellY; el.data = cellF; el.method = 'linear'; fem.elem = [fem.elem {el}]; See Also elempty 85
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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
Page 43 and 44: assemble In FEMLAB 2.3, the size of
Page 45 and 46: asseminit TABLE 1-3: VALID PROPERTY
Page 47 and 48: lock2, block3 Purpose block2, block
Page 49 and 50: chamfer Purpose chamfer Create flat
Page 51 and 52: circ1, circ2 Purpose circ1, circ2 C
Page 53 and 54: comsol Purpose comsol Start the COM
Page 55 and 56: cone2, cone3 Cone objects have the
Page 57 and 58: curve2, curve3 The coercion functio
Page 59 and 60: cylinder2, cylinder3 TABLE 1-13: CY
Page 61 and 62: econe2, econe3 Purpose econe2, econ
Page 63 and 64: elcconstr Purpose elcconstr Define
Page 65 and 66: elcontact Purpose elcontact Define
Page 67 and 68: elcontact See Also elmapextr 57
Page 69 and 70: elcplextr transformation is used as
Page 71 and 72: elcplgenint Purpose elcplgenint Def
Page 73 and 74: elcplproj Purpose elcplproj Define
Page 75 and 76: elcplproj map1.dg = '1'; map1.dv =
Page 77 and 78: elcplscalar el.elem = 'elcplscalar'
Page 79 and 80: elempty Purpose elempty Define some
Page 81 and 82: elempty clear el; el.elem = 'elempt
Page 83 and 84: elepspec Examples Given a single-ge
Page 85 and 86: eleqc Make sure that the integratio
Page 87 and 88: eleqw fem.elem = [fem.elem {el}]; f
Page 89 and 90: elgeom Purpose elgeom Define geomet
Page 91 and 92: elgpspec elgpspec can be added in t
Page 93: elinline el.dexpr = {'1/(2*sqrt(a)+
Page 97 and 98: elirradiation Purpose elirradiation
Page 99 and 100: ellip1, ellip2 Purpose ellip1, elli
Page 101 and 102: ellipsoid2, ellipsoid3 Purpose elli
Page 103 and 104: elmapextr Purpose elmapextr Define
Page 105 and 106: elmapextr fem.sol = femeig(fem,'nei
Page 107 and 108: elode Purpose elode Define global s
Page 109 and 110: elpconstr Purpose elpconstr Define
Page 111 and 112: elplastic Purpose elplastic Define
Page 113 and 114: elpric Purpose elpric Define variab
Page 115 and 116: elsconstr vector. The normal compon
Page 117 and 118: elshape TABLE 1-20: BASIC MESH ELEM
Page 119 and 120: elshell_arg2 Purpose elshell_arg2 C
Page 121 and 122: elshell_arg2 Postprocessing variabl
Page 123 and 124: elvar Purpose elvar Define expressi
Page 125 and 126: extrude Purpose extrude Extrude a 2
Page 127 and 128: face3 Purpose face3 Create 3D surfa
Page 129 and 130: femdiff Purpose femdiff Symbolicall
Page 131 and 132: femeig Purpose femeig Solve eigenva
Page 133 and 134: femeig where Ω is the L-shaped mem
Page 135 and 136: femlin KN T N 0 U - U 0 Λ = L M ,
Page 137 and 138: femlin nullfun and symmetric can be
Page 139 and 140: femmesh Purpose femmesh Create a me
Page 141 and 142: femmesh Tetrahedral element (tet):
Page 143 and 144: 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
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shcurl Purpose shcurl Create a vect
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shdisc Purpose shdisc Create a disc
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shgp Purpose shgp Create a Gauss-po
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shlag Purpose shlag Create a Lagran
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solid0, solid1, solid2, solid3 The
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sphere3, sphere2 the evaluation con
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square1, square2 Purpose square1, s
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tangent Purpose tangent Create a ta
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tetrahedron2, tetrahedron3 Purpose
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torus2, torus3 TABLE 1-49: TORUS OB
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xmeshinfo is requested for. The pro
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xmeshinfo TABLE 1-52: NODES STRUCT
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xmeshinfo dofs.coords(:,30) % alter
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2 Diagnostics This chapter contains
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TABLE 2-2: GEOMETRY MODELING ERROR
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6000-6999 Assembly and Extended Mes
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TABLE 2-4: ASSEMBLY AND EXTENDED ME
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TABLE 2-5: SOLVER ERROR MESSAGES ER
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9000-9999 General Errors TABLE 2-6:
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Solver Error Messages These error m
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TABLE 2-7: SOLVER ERROR MESSAGES IN
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3 The COMSOL Multiphysics Files Thi
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2 m1 ######## Types 1 # number of t
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To load and save COMSOL Multiphysic
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Attribute Attribute Supported Versi
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BezierMfd BezierMfd Supported Versi
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BezierTri BezierTri Supported Versi
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BSplineMfd BSplineMfd Supported Ver
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BSplineSurf BSplineSurf Supported V
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Ellipse 0 # reverse 2 0 # major axi
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Geom1 Geom1 Supported Versions 1 Su
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Geom2 0 0 1 1 2.2999999999999998 1
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GeomFile GeomFile Supported Version
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Mesh Mesh Supported Versions 1 Subt
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MeshCurve MeshCurve Supported Versi
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Plane Plane Supported Versions 1 Su
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Serializable Serializable Supported
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Transform Transform Supported Versi
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VectorInt Supported Versions Vector
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Examples To illustrate the use of t
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410 506 409 528 762 760 831 859 525
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7 ... 5 5 5 224 # number of up/down
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# Faces # up down mfd tol 0 0 1 NAN
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INDEX 1D geometry object 196 3D mes
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flmesh2spline 186 flngdof 188, 191
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second fundamental matrices 226 ser
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