A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity

Table 5

Error ‖𝐮−𝐮_ℎ‖₀ of RLDG and LDG methods with various choices of 𝐶₁₁.

ℎ	RLDG	LDG
		𝐶11|𝑒=ℎ𝑒	𝐶11|𝑒=1	𝐶11|𝑒=ℎ𝑒^−1	𝐶11|𝑒=ℎ𝑒^−2
1	1.0305𝐸+00	1.0694𝐸+00	1.0676𝐸+00	1.0663𝐸+00	1.0654𝐸+00
2^−1	5.1927𝐸−01	5.2359𝐸−01	5.2737𝐸−01	5.3452𝐸−01	5.4783𝐸−01
2^−2	1.8366𝐸−01	1.8401𝐸−01	1.8498𝐸−01	1.8856𝐸−01	2.0068𝐸−01
2^−3	5.3527𝐸−02	5.3551𝐸−02	5.3707𝐸−02	5.4837𝐸−02	6.1566𝐸−02
2^−4	1.4183𝐸−02	1.4185𝐸−02	1.4206𝐸−02	1.4515𝐸−02	1.7520𝐸−02
2^−5	3.6238𝐸−03	3.6239𝐸−03	3.6267𝐸−03	3.7068𝐸−03	4.8648𝐸−03
2^−6	9.1385𝐸−04	9.1386𝐸−04	9.1421𝐸−04	9.3461𝐸−04	1.3268𝐸−03