Theory and Modern Applications
α | M | \(\|u-U\|_{L^{\infty}(L^{2}(\varOmega))}\) | Order | \(\| u-U\|_{L^{2}(H^{1}(\varOmega))}\) | Order |
---|---|---|---|---|---|
0.01 | 10 | 4.68701563e-05 | – | 2.66537172e-02 | – |
20 | 1.17042557e-05 | 2.00163642 | 1.33031431e-02 | 1.00256959 | |
40 | 2.90499824e-06 | 2.01042399 | 6.63449496e-03 | 1.00370860 | |
80 | 7.22513815e-07 | 2.00744021 | 3.31169265e-03 | 1.00241786 | |
0.5 | 10 | 4.68341426e-05 | – | 2.66488702e-02 | – |
20 | 1.16937976e-05 | 2.00181712 | 1.33003382e-02 | 1.00261144 | |
40 | 2.90228354e-06 | 2.01048316 | 6.63303459e-03 | 1.00372197 | |
80 | 7.21827421e-07 | 2.00746261 | 3.31095230e-03 | 1.00242282 | |
0.99 | 10 | 4.67925509e-05 | – | 2.66432453e-02 | – |
20 | 1.16819417e-05 | 2.00199878 | 1.32971532e-02 | 1.00265242 | |
40 | 2.89920905e-06 | 2.01054882 | 6.63137914e-03 | 1.00373656 | |
80 | 7.21048696e-07 | 2.00749076 | 3.31011171e-03 | 1.00242903 |