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. Author manuscript; available in PMC: 2014 Jan 1.
Published in final edited form as: Comput Methods Appl Mech Eng. 2012 Jul 24;253:323–336. doi: 10.1016/j.cma.2012.07.004

Table 2.

Quadratic convergence of global residual for spiral re-entry problem.

time [ms] 3 75 420 450 570 630 690 825
step 1 1.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00
step 2 9.0110E−03 7.0588E−02 3.7917E−04 1.7091E−03 2.8000E−04 3.2632E−04 2.6667E−04 2.6471E−05
step 3 5.7143E−04 6.4706E−04 1.2083E−10 7.0909E−08 2.1000E−10 4.9474E−10 1.0000E−09 2.5000E−12
step 4 2.1978E−05 1.6471E−07 3.6250E−23 7.0909E−15 2.8000E−18 4.6842E−16 4.0556E−16 1.4118E−20
step 5 1.8681E−05 1.0588E−11
step n 2.5275E−15 2.9412E−19
nsteps 9 6 4 4 4 4 4 4