Numerical Solutions to Nonsmooth Dirichlet Problems Based on Lumped Mass Finite Element Discretization

Table 1

The errors in energy norm.

ℎ	𝜆=10		𝜆=100		𝜆=1000
	|𝑤ℎ−𝑢|1,Ω	Order	|𝑤ℎ−𝑢|1,Ω	Order	|𝑤ℎ−𝑢|1,Ω	Order
2^−3	4.347769𝐸−1	∖	3.619760𝐸−1	∖	3.262923𝐸−1	∖
2^−4	2.170599𝐸−1	1.0022	1.825936𝐸−1	0.9873	1.621645𝐸−1	1.0087
2^−5	1.084135𝐸−1	1.0015	9.068785𝐸−2	1.0097	7.902224𝐸−2	1.0371
2^−6	5.419942𝐸−2	1.0002	4.528526𝐸−2	1.0019	3.914398𝐸−2	1.0135
2^−7	2.709797𝐸−2	1.0001	2.261904𝐸−2	1.0015	1.950529𝐸−2	1.0049
2^−8	1.354897𝐸−2	1.0000	1.131196𝐸−2	0.9997	9.757465𝐸−3	0.9993
2^−9	6.774435𝐸−3	1.0000	5.656166𝐸−3	1.0000	4.879369𝐸−3	0.9998