Research Article

An Adaptive Domain Partitioning Technique for Meshfree-Type Methods

Table 2

Error values for Example 6.2.

Problem 𝑁 + 𝐿 S. U. D. S. A. D. U. 2 Sub A 2 Sub U. 4 Sub A 4 Sub

𝑢 = 1 / ( 𝑥 + 𝑦 ) 80+380 1.1 𝐸 2 2.6 𝐸 1 1.8 𝐸 3 9.8 𝐸 3 5.0 𝐸 3 2.2 𝐸 3
120+800 4.4 𝐸 3 2.3 𝐸 1 2.2 𝐸 2 8.5 𝐸 3 2.1 𝐸 3 1.2 𝐸 3

𝑢 = 1 / ( 𝑥 + 𝑦 ) 2 80+380 2.6 𝐸 1 1.6 𝐸 + 1 1.5 𝐸 0 9.0 𝐸 2 2.1 𝐸 1 5.0 𝐸 2
120+800 1.1 𝐸 1 5.0 𝐸 1 8.5 𝐸 1 9.8 𝐸 2 1.1 𝐸 1 4.0 𝐸 2