COMSOL Multiphysics™

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femstate Purpose femstate Compute state-space form of a time-dependent PDE problem. Syntax Description [A,B,C,D] = femstate(fem,...) [M,MA,MB,C,D] = femstate(fem,...) [M,MA,MB,C,D,Null,ud,x0] = femstate(fem,...) state = femstate(fem,...) [A,B,C,D] = femstate(fem,...) calculates the linearized state-space form of the dynamic PDE model fem on the format ⎧dx ⎪ = Ax + Bu ⎨dt ⎪ ⎩ y = Cx+ Du where x are the state variables, u are the input variables, and y are the output variables. [M,MA,MB,C,D] = femstate(fem,...) calculates the state-space form on the format ⎧ ⎪ ⎨ ⎪ ⎩ dx M dt = MAx + MBu y = Cx+ Du The matrices M and MA are usually much sparser than the matrix A. [M,MA,MB,C,D,Null,ud,x0] = femstate(fem,...) also returns the null space matrix Null, the constraint contribution ud, and the initial state x0. The full solution vector U can be obtained from the state variables by U = Null*x+u0, where u0 is the linearization point. state = femstate(fem,...) returns the structure state containing the fields M, MA, MB, C, D, Null, and x0. state = femstate(fem,'out','statenom',...) returns the structure state containing the fields A, B, C, D, Null, and x0. s = femstate(fem,'out','ss',...) returns the Control System Toolbox state-space object s = ss(A,B,C,D). The output from femstate is intended for use from Simulink or the Control System Toolbox. The function femstate with the output state is equivalent to femsim 162 | CHAPTER 1: COMMAND REFERENCE
femstate with the property State=on. In addition to the properties of femsim, femstate accepts the following property/value pairs: TABLE 1-37: VALID PROPERTY/VALUE PAIRS PROPERTY VALUE DEFAULT DESCRIPTION Out A | B | C | D | M | MA | MB | Null | ud | x0 | state | statenom | ss | cell array of these strings [A,B,C,D] [M,MA,MB,C,D] [M,MA,MB,C,D, Null,ud,x0] state Output variables Sparse off | on off Sparse matrices The property Sparse controls whether the matrices A, B, C, D, M, MA, MB, and Null are stored in the sparse format. See femsim for a description of the other properties. Compatibility See Also See the femsim entry. femsim 163
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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
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
Page 145 and 146: femnlin Purpose femnlin Solve nonli
Page 147 and 148: femnlin components fixed, the augme
Page 149 and 150: femnlin The property Rstep sets a r
Page 151 and 152: femplot PROPERTY VALUE DEFAULT DESC
Page 153 and 154: femsim The names of the input varia
Page 155 and 156: femsim Most of the FEMLAB 2.3 data
Page 157 and 158: femsol Example Create a solution ob
Page 159 and 160: femsolver TABLE 1-30: COMMON SOLVER
Page 161 and 162: femsolver PROBE PLOT PARAMETERS Pro
Page 163 and 164: femsolver Equations” on page 440
Page 165 and 166: femsolver TABLE 1-33: DIRECT LINEAR
Page 167 and 168: femsolver TABLE 1-34: ITERATIVE LIN
Page 169 and 170: femsolver scalar Shapechg, and the
Page 171: femsolver TABLE 1-36: OBSOLETE PROP
Page 175 and 176: femstatic dependent and if these ma
Page 177 and 178: femtime Purpose femtime Solve time-
Page 179 and 180: femtime initial values are consiste
Page 181 and 182: femtime Cautionary In structural me
Page 183 and 184: femwave and then transforms the PDE
Page 185 and 186: femwave Weak coefficients are cell
Page 187 and 188: fillet Purpose fillet Create circul
Page 189 and 190: flcontour2mesh Purpose flcontour2me
Page 191 and 192: flform Purpose flform Convert betwe
Page 193 and 194: flim2curve Purpose flim2curve Creat
Page 195 and 196: flload Purpose flload Load a COMSOL
Page 197 and 198: flmesh2spline figure meshplot(msh)
Page 199 and 200: flnull Purpose flnull Compute null
Page 201 and 202: flreport Purpose flreport Globally
Page 203 and 204: flsmhs, flsmsign, fldsmhs, fldsmsig
Page 205 and 206: gencyl2, gencyl3 s2 = gencyl2(...)
Page 207 and 208: geom0, geom1, geom2, geom3 edge is
Page 209 and 210: geom0, geom1, geom2, geom3 See Also
Page 211 and 212: geomanalyze % Circle moving through
Page 213 and 214: geomarrayr The input argument g1, g
Page 215 and 216: geomcomp Purpose geomcomp Analyze g
Page 217 and 218: geomcsg g = geomcsg(sl,pl,...) deco
Page 219 and 220: geomcsg TABLE 1-57: GEOMETRY MODEL
Page 221 and 222: 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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