A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity

Table 1

Errors between (𝝈_ℎ, 𝐮_ℎ) and (𝝈, 𝐮) for different ℎ when 𝜆=1.

ℎ	‖𝐮−𝐮ℎ‖0	Order	‖𝝈−𝝈ℎ‖𝒜	Order
1	1.0305𝐸+00	—	5.0397𝐸+00	—
2^−1	5.1927𝐸−01	0.99	3.8102𝐸+00	0.40
2^−2	1.8366𝐸−01	1.50	2.3137𝐸+00	0.72
2^−3	5.3527𝐸−02	1.78	1.2586𝐸+00	0.88
2^−4	1.4183𝐸−02	1.92	6.5126𝐸−01	0.95
2^−5	3.6238𝐸−03	1.97	3.3031𝐸−01	0.98
2^−6	9.1385𝐸−04	1.99	1.6620𝐸−01	0.99