Meshless Methods in Biomechanics by Jorge Belinha

Author:Jorge Belinha
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

4.4.5.3 Partition of Unity

The partition of unity property of the RPI shape function can be proved using the same argument used to prove the consistency property. The partition of unity is satisfied by the RPI shape function ,

(4.171)

if at least a constant is included in the basis. Consider a constant field , being . The polynomial form presented in Eq. (4.151) can be used to represent the constant field, however in this example only the constant term of the polynomial is different from zero, t = 1,

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