The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar

Table 1

 ‖𝑢−𝑢_ℎ‖_0,ℎ.

ℎ	𝑡=0.1	𝑡=0.2	𝑡=0.3	𝑡=0.4	𝑡=0.5	𝑡=0.6	𝑡=0.7	𝑡=0.8	𝑡=0.9
1/20	0.1025	0.0922	0.0831	0.0742	0.0671	0.0600	0.0548	0.0490	0.0447
1/40	0.0520	0.0469	0.0424	0.0374	0.0346	0.0309	0.0279	0.0253	0.0229
1/80	0.0261	0.0235	0.0212	0.0191	0.0173	0.0156	0.0141	0.0128	0.0116
1/160	0.0131	0.0116	0.0106	0.0096	0.0087	0.0078	0.0071	0.0064	0.0058