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