COMSOL Multiphysics™

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adaption There is one predefined function available: fleel2. The function fleel2 computes the error indicator using the L 2 norm, the function fleeceng computes the error indicator using the energy norm, and the function fleelfun computes the error indicator using a linear functional (fleeceng and fleelfun are not yet implemented). The error estimator gives local error indicators (f(i,j) h(j) β(i) ) α Vol(j), where i is the equation number, j is the mesh element number, h is the mesh element size, and Vol is the mesh element volume. f(i,j) is the scaled absolute value of the ith equation residual on the jth mesh element. The mesh element error indicator is the sum of these local error indicators over the equation index i. The global error indicator is the α root of the sum of the mesh element error indicators over the mesh element index j. See the Users Guide for more information on the Adaption Solver Algorithm. If the eigenvalue solver is used, the weighting of the error indicators for the different eigenfunctions is specified in the property Eigselect. The nth component of the Eigselect vector is the weight for the error indicator of the nth eigenfunction. Mesh Refinement Then, a refinement of the mesh is generated based on the local error indicators. The aim is to refine the mesh most where the errors are largest. The mesh refinements ratios are determined by the function given in the property Tpfun, with parameter Tppar. There are three predefined functions available: fltpft, fltpworst, and fltpqty. fltpft tries to minimize the total error for a prescribed mesh size, namely Tppar times the current number of mesh elements (the default Tppar is 1.7). Each element can be refined several times. fltpworst and fltpqty refine each element at most once. fltpworst refines the elements with an error greater than a fraction of the worst error, whereas fltpqty refines a given fraction of the elements (the fraction is given in the property Tppar, the default is 0.5). The property Resorder is a scalar or vector which gives the order of decrease of the equation residuals as the mesh size h tends to 0. If it is a vector, the residual of the nth equation is O(h Resorder(n) ). Once the mesh refinement ratios have been determined, the mesh is refined using the method given in the property Rmethod, and the algorithm starts a new iteration. The refinement method is either longest, regular, or meshinit. Details on the first two refinement methods can be found in the entry on meshrefine. Meshinit means that a new mesh is generated through a call to meshinit using the Hmesh property to control the element sizes. 22 | CHAPTER 1: COMMAND REFERENCE
adaption Convergence Control No more than Ngen successive refinements are attempted. Refinement is also stopped when the number of elements in the mesh exceeds Maxt. The property Stop makes it possible to return a partially converged solution when the nonlinear, iterative, or eigenvalue solver fails at some point. If a failure occurs, the result from the previous iteration is returned. The output value Stop is 0 if a complete solution was returned, 1 if a partial solution was returned, and 2 if no solution was returned. When the Report property is on, a progress window is shown. Information about the progress of the adaptive process is printed after each adaptive step. You get a message on the number of mesh elements obtained by the adaptive step, and an error indicator. This error indicator is not an absolute error estimate. In favorable cases there is a constant C such that C times the error indicator is an upper bound of some norm of the error. 23
Page 1 and 2: COMSOL Multiphysics COMMAND REFERE
Page 3 and 4: CONTENTS Chapter 1: Command Referen
Page 5 and 6: femplot . . . . . . . . . . . . . .
Page 7 and 8: postarrow . . . . . . . . . . . . .
Page 9 and 10: BSplineSurf . . . . . . . . . . . .
Page 11 and 12: 1 Command Reference 1
Page 13 and 14: elpconstr on page 99 elplastic on p
Page 15 and 16: mirror on page 301 move on page 302
Page 17 and 18: Commands Grouped by Function User I
Page 19 and 20: Geometry Objects FUNCTION block2 bl
Page 21 and 22: Mesh Functions FUNCTION femmesh flc
Page 23 and 24: Postprocessing Functions FUNCTION m
Page 25 and 26: FUNCTION elmapextr elmesh elode elp
Page 27 and 28: FUNCTION PURPOSE REPLACEMENT flsdt
Page 29 and 30: In FEMLAB 3.0, all FEMLAB 2.3 Eleme
Page 31: adaption TABLE 1-1: VALID PROPERTY/
Page 35 and 36: adaption fem.bnd.ind = [1 1 2 2 2 2
Page 37 and 38: adaption The Coefficient residual c
Page 39 and 40: assemble Purpose assemble Assemble
Page 41 and 42: 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 and 94:
elinline el.dexpr = {'1/(2*sqrt(a)+
Page 95 and 96:
elinterp el.elem = 'elinterp'; el.n
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
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 and 172:
femsolver TABLE 1-36: OBSOLETE PROP
Page 173 and 174:
femstate with the property State=on
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
Page 223 and 224:
geomedit Purpose geomedit Edit geom
Page 225 and 226:
geomfile Purpose geomfile Geometry
Page 227 and 228:
geomfile clear fem fem.geom = 'card
Page 229 and 230:
geomgetwrkpln respect to the face.
Page 231 and 232:
geomgroup Examples See Also [g pair
Page 233 and 234:
geomimport TABLE 1-64: VALID PROPER
Page 235 and 236:
geominfo Out specifies the geometry
Page 237 and 238:
geominfo DD = reshape(ff2{m}(im1,im
Page 239 and 240:
geominfo The following commands, se
Page 241 and 242:
geomobject Purpose geomobject Creat
Page 243 and 244:
geomplot design philosophy has been
Page 245 and 246:
geomplot 2D Example Start by creati
Page 247 and 248:
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 and 300:
meshqual Purpose meshqual Mesh qual
Page 301 and 302:
meshrefine Purpose meshrefine Refin
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
Page 351 and 352:
postglobalplot If Outtype is 'handl
Page 353 and 354:
postint Purpose postint Integrate e
Page 355 and 356:
postinterp Purpose postinterp Evalu
Page 357 and 358:
postinterp The property Phase is de
Page 359 and 360:
postlin postlin Purpose Shorthand c
Page 361 and 362:
postmin Purpose postmin Compute min
Page 363 and 364:
postmovie TABLE 1-30: VALID PROPERT
Page 365 and 366:
postplot TABLE 1-31: VALID PROPERTY
Page 367 and 368:
Page 369 and 370:
Page 371 and 372:
Page 373 and 374:
Page 375 and 376:
postplot associated to each point o
Page 377 and 378:
postplot fem.equ.c = 1; fem.equ.f =
Page 379 and 380:
postprincbnd postprincbnd Purpose S
Page 381 and 382:
postsurf postsurf Purpose Shorthand
Page 383 and 384:
pyramid2, pyramid3 Purpose pyramid2
Page 385 and 386:
ect1, rect2 Purpose rect1, rect2 Cr
Page 387 and 388:
evolve Purpose revolve Revolve a 2D
Page 389 and 390:
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
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To load and save COMSOL Multiphysic
Page 441 and 442:
Attribute Attribute Supported Versi
Page 443 and 444:
BezierMfd BezierMfd 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
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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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