Numerical Solutions of Singularly Perturbed Reaction Diffusion Equation with Sobolev Gradients

Table 1

Numerical results of steepest descent in 𝐻¹, 𝐻^1,𝑤 using 𝛿_𝑡=0.95, 𝜖=0.01 for fifteen time steps in the two-dimensional case.

𝜆		Iterations		CPU		𝑀	Triangles
𝐻^1	𝐻^1,𝑤	𝐻^1	𝐻^1,𝑤	𝐻^1	𝐻^1,𝑤	—	—
0.8	0.035	948	793	6.68	2.52	10	24
0.8	0.035	1782	1137	45.29	14.87	20	152
0.8	0.035	2627	1674	126.05	40.7	30	322
0.8	0.035	2309	1621	215.16	155.84	40	348