MULTIGRID GALERKIN HIERARCHICAL ADAPTIVE TRIANGLES (MGGHAT)


 Version 1.1 June 1994

 input parameters
 output level            2
 polynomial order        2
 number of cycles        1
 relaxes before cgc      1
 relaxes after cgc       2
 multigrid frequency   2.00000000E+00
 error tolerance       0.00000000E+00
 refinement           adaptive

 

 NOTE -- you must have gnuplot installed and in
         your execution path for graphics to work

Do you want any runtime graphics (y/n)?
n

 begin initialization

 initializations complete

 time for initialization       0.01

 begin refinement

 refinement complete

 number of vertices         18
 number of nodes            18
 number of triangles        22
 number of levels            3

 time for refinement (this grid)       0.01
 time for refinement (all grids)       0.01

 begin solution 

 solution complete

 norms of error (meaningful only if TRUE is supplied):

 max norm at vertices    1.18846297E-01
 max norm at nodes       1.18846297E-01
 max norm at quad pts    2.11651444E-01
 continuous energy norm  3.29902977E-01
 relative energy norm    1.49021029E-01

 time for solution (this grid)       0.00
 time for solution (all grids)       0.00

 begin error indicators

 error indicators and estimates complete

 maximum error indicator  1.99264526E-01
 error estimate           4.55626637E-01
 effectivity index        1.38109279E+00
 relative error estimate  1.96975216E-01
 relative effect index    1.32179475E+00

 time for error estimates (this grid)       0.00
 time for error estimates (all grids)       0.00

 time for this refinement/solution step      0.01
 total time so far                           0.02

 begin refinement

 refinement complete

 number of vertices         36
 number of nodes            36
 number of triangles        53
 number of levels            5

 time for refinement (this grid)       0.05
 time for refinement (all grids)       0.06

 begin solution 

 solution complete

 norms of error (meaningful only if TRUE is supplied):

 max norm at vertices    6.54708743E-02
 max norm at nodes       6.54708743E-02
 max norm at quad pts    1.07435107E-01
 continuous energy norm  1.86283559E-01
 relative energy norm    8.07375014E-02

 time for solution (this grid)       0.00
 time for solution (all grids)       0.00

 begin error indicators

 error indicators and estimates complete

 maximum error indicator  8.42473358E-02
 error estimate           2.68749446E-01
 effectivity index        1.44269013E+00
 relative error estimate  1.16276026E-01
 relative effect index    1.44017375E+00

 time for error estimates (this grid)       0.00
 time for error estimates (all grids)       0.00

 time for this refinement/solution step      0.06
 total time so far                           0.08

 begin refinement

 refinement complete

 number of vertices         72
 number of nodes            72
 number of triangles       118
 number of levels            7

 time for refinement (this grid)       0.08
 time for refinement (all grids)       0.14

 begin solution 

 solution complete

 norms of error (meaningful only if TRUE is supplied):

 max norm at vertices    2.64519453E-02
 max norm at nodes       2.64519453E-02
 max norm at quad pts    4.26471829E-02
 continuous energy norm  1.44406736E-01
 relative energy norm    6.19574301E-02

 time for solution (this grid)       0.01
 time for solution (all grids)       0.01

 begin error indicators

 error indicators and estimates complete

 maximum error indicator  4.19273376E-02
 error estimate           2.15422526E-01
 effectivity index        1.49177611E+00
 relative error estimate  9.23746079E-02
 relative effect index    1.49093676E+00

 time for error estimates (this grid)       0.01
 time for error estimates (all grids)       0.01

 time for this refinement/solution step      0.11
 total time so far                           0.19

 begin refinement

 refinement complete

 number of vertices        144
 number of nodes           144
 number of triangles       249
 number of levels            8

 time for refinement (this grid)       0.17
 time for refinement (all grids)       0.31

 begin solution 

 solution complete

 norms of error (meaningful only if TRUE is supplied):

 max norm at vertices    1.26081705E-02
 max norm at nodes       1.26081705E-02
 max norm at quad pts    2.27308273E-02
 continuous energy norm  7.79333711E-02
 relative energy norm    3.32190320E-02

 time for solution (this grid)       0.04
 time for solution (all grids)       0.05

 begin error indicators

 error indicators and estimates complete

 maximum error indicator  1.51082277E-02
 error estimate           1.14224389E-01
 effectivity index        1.46566725E+00
 relative error estimate  4.86929864E-02
 relative effect index    1.46581590E+00

 time for error estimates (this grid)       0.01
 time for error estimates (all grids)       0.02

 time for this refinement/solution step      0.23
 total time so far                           0.42

 begin refinement

 refinement complete

 number of vertices        288
 number of nodes           288
 number of triangles       515
 number of levels            9

 time for refinement (this grid)       0.33
 time for refinement (all grids)       0.64

 begin solution 

 solution complete

 norms of error (meaningful only if TRUE is supplied):

 max norm at vertices    7.36594200E-03
 max norm at nodes       7.36594200E-03
 max norm at quad pts    1.32037401E-02
 continuous energy norm  5.78407049E-02
 relative energy norm    2.46014390E-02

 time for solution (this grid)       0.08
 time for solution (all grids)       0.13

 begin error indicators

 error indicators and estimates complete

 maximum error indicator  1.05195045E-02
 error estimate           8.71300846E-02
 effectivity index        1.50638008E+00
 relative error estimate  3.70572880E-02
 relative effect index    1.50630569E+00

 time for error estimates (this grid)       0.01
 time for error estimates (all grids)       0.03

 time for this refinement/solution step      0.45
 total time so far                           0.87

 begin refinement

 refinement complete

 number of vertices        576
 number of nodes           576
 number of triangles      1074
 number of levels           11

 time for refinement (this grid)       0.70
 time for refinement (all grids)       1.34

 begin solution 

 solution complete

 norms of error (meaningful only if TRUE is supplied):

 max norm at vertices    3.28135490E-03
 max norm at nodes       3.28135490E-03
 max norm at quad pts    5.42211533E-03
 continuous energy norm  3.59012075E-02
 relative energy norm    1.52481133E-02

 time for solution (this grid)       0.18
 time for solution (all grids)       0.31

 begin error indicators

 error indicators and estimates complete

 maximum error indicator  3.90764512E-03
 error estimate           5.25242575E-02
 effectivity index        1.46302199E+00
 relative error estimate  2.23133918E-02
 relative effect index    1.46335423E+00

 time for error estimates (this grid)       0.03
 time for error estimates (all grids)       0.06

 time for this refinement/solution step      0.94
 total time so far                           1.81

 begin refinement

 refinement complete

 number of vertices        998
 number of nodes           998
 number of triangles      1880
 number of levels           11

 time for refinement (this grid)       0.93
 time for refinement (all grids)       2.27

 begin solution 

 solution complete

 norms of error (meaningful only if TRUE is supplied):

 max norm at vertices    2.40588188E-03
 max norm at nodes       2.40588188E-03
 max norm at quad pts    3.56107950E-03
 continuous energy norm  2.76611056E-02
 relative energy norm    1.17434822E-02

 time for solution (this grid)       0.30
 time for solution (all grids)       0.61

 begin error indicators

 error indicators and estimates complete

 maximum error indicator  2.69675255E-03
 error estimate           4.05330956E-02
 effectivity index        1.46534622E+00
 relative error estimate  1.72114614E-02
 relative effect index    1.46561825E+00

 time for error estimates (this grid)       0.04
 time for error estimates (all grids)       0.10

 time for this refinement/solution step      1.32
 total time so far                           3.13

 final solution complete

 (errors and effectivity index are meaningful
  only if TRUE is supplied)
 maximum error at vertices  2.40588188E-03
 maximum error at nodes     2.40588188E-03
 maximum error at quad pts  3.56107950E-03
 continuous energy norm     2.76611056E-02

 maximum error indicator    2.69675255E-03
 error estimate             4.05330956E-02
 effectivity index          1.46534622E+00

 relative energy norm       1.72114614E-02
 relative effect index      1.46561825E+00

 number of vertices               998
 number of nodes                  998
 number of triangles             1880
 number of levels                  11


 time for initializations        0.01
 time for refinement             2.27
 time for solution               0.61
 time for error estimates        0.10
 total time                      3.13


 approximate memory allocation:
 real words                   9325599
 integer words               10080825


 termination due to achieving maximum vertices

 execution sucessful