COMSOL Multiphysics™

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meshqual where h i are the edge lengths. q=1 for a right-angled prism where all edge lengths are equal. The element quality is always 1 in 1D. q = ------------------------------ 36 3V , 9 ⎛ ⎞ 3⁄ 2 ⎜ 2 ⎜∑ h ⎟ i ⎟ ⎝ ⎠ i = 1 See Also Reference meshrefine, femmesh, meshsmooth Bank, Randolph E., PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, User’s Guide 6.0, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1990. 290 | CHAPTER 1: COMMAND REFERENCE
meshrefine Purpose meshrefine Refine a mesh. Syntax Description fem.mesh = meshrefine(fem,...); fem = meshrefine(fem,'Out',{'fem'},...); fem.mesh = meshrefine(fem,...) returns a refined version of the triangular mesh specified by the geometry, fem.geom, and the mesh, fem.mesh. fem = meshrefine(fem,'Out',{'fem'},...) modifies the FEM structure to include the refined mesh in fem.mesh. meshrefine is supported for meshes containing simplex elements only, that is, lines, triangles, and tetrahedrons. The function meshrefine accepts the following property/values: TABLE 1-13: VALID PROPERTY/VALUE PAIRS PROPERTY VALUE DEFAULT DESCRIPTION mcase integer 0 Mesh case number out fem | mesh mesh Output variables rmethod longest | see below Refinement method regular subdomain integer vector | all | none all Specifies the subdomains that are refined tri one row vector or two row matrix all elements once List of elements to refine (second row is number of refinements) The default refinement method in 2D is regular refinement, where all of the specified triangles are divided into four triangles of the same shape. Longest edge refinement, where the longest edge of each specified triangle is bisected, can be demanded by giving longest as Rmethod. Using regular as Rmethod results in regular refinement. Some triangles outside of the specified set may also be refined, in order to preserve the triangulation and its quality. In 3D, the default refinement method is longest. The regular refinement method is only implemented for uniform refinements. In 1D, regular refinement, where each element is divided into two elements of the same shape, is always used. Examples Refine the mesh of the L-shaped membrane several times and plot the mesh for the geometry of the L-shaped membrane: 291
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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
Page 249 and 250: geomspline p agree to within 1000*e
Page 251 and 252: getparts Purpose getparts Extract p
Page 253 and 254: line1, line2 Purpose line1, line2 C
Page 255 and 256: loft gl{2} and so on. It is require
Page 257 and 258: loft See Also extrude, geomgetwrkpl
Page 259 and 260: mesh2geom fem.mesh=meshinit(rect2);
Page 261 and 262: meshcaseadd The mesh case generatio
Page 263 and 264: meshdel Purpose meshdel Delete elem
Page 265 and 266: meshembed Purpose meshembed Embed a
Page 267 and 268: meshenrich TABLE 1-4: VALID PROPERT
Page 269 and 270: meshexport Purpose meshexport Expor
Page 271 and 272: meshextrude Purpose meshextrude Ext
Page 273 and 274: meshimport Purpose meshimport Impor
Page 275 and 276: meshimport sum of the coordinates o
Page 277 and 278: meshinit TABLE 1-8: VALID PROPERTY/
Page 279 and 280: meshinit TABLE 1-8: VALID PROPERTY/
Page 281 and 282: meshinit TABLE 1-10: MESH PARAMETER
Page 283 and 284: meshinit The properties xscale, ysc
Page 285 and 286: meshintegrate Purpose meshintegrate
Page 287 and 288: meshmap Purpose meshmap Create mapp
Page 289 and 290: meshmap HAUTO SCALE FACTOR 3 0.55 4
Page 291 and 292: meshplot Purpose meshplot Plot mesh
Page 293 and 294: meshplot TABLE 1-11: VALID PROPERTY
Page 295 and 296: meshplot The bound property group c
Page 297 and 298: meshplot See Also femmesh, geomplot
Page 299: meshqual Purpose meshqual Mesh qual
Page 303 and 304: meshrevolve Purpose meshrevolve Rev
Page 305 and 306: meshsmooth Purpose meshsmooth Smoot
Page 307 and 308: meshsweep Purpose meshsweep Create
Page 309 and 310: meshsweep • There can only be one
Page 311 and 312: mirror Purpose mirror Reflect geome
Page 313 and 314: multiphysics Purpose multiphysics M
Page 315 and 316: multiphysics The table below descri
Page 317 and 318: multiphysics which domain group in
Page 319 and 320: multiphysics Elements of fem1.***.(
Page 321 and 322: multiphysics Fem.***.init is constr
Page 323 and 324: pde2geom Purpose pde2geom Convert a
Page 325 and 326: point1, point2, point3 Purpose poin
Page 327 and 328: poisson Purpose poisson Fast soluti
Page 329 and 330: poly1, poly2 Purpose poly1, poly2 C
Page 331 and 332: postarrow postarrow Purpose Shortha
Page 333 and 334: postcont postcont Purpose Shorthand
Page 335 and 336: postcoord fem.xmesh = meshextend(fe
Page 337 and 338: postcrossplot points for the differ
Page 339 and 340: postcrossplot TABLE 1-24: VALID PRO
Page 341 and 342: postcrossplot postcrossplot(fem,2,6
Page 343 and 344: posteval Purpose posteval Evaluate
Page 345 and 346: posteval Solnum is provided, the so
Page 347 and 348: postflow postflow Purpose Shorthand
Page 349 and 350: 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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