Patent ID: 7881912

Claim:
A numerical analysis method, comprising: acquiring a consistent mass matrix of each element of a subject; generating, based on a bubble function of each element, a first diagonal mass matrix of each element, the first diagonal mass matrix being the consistent mass matrix that is diagonalized; analyzing a motion of the subject based on a known physical quantity of the subject and the first diagonal mass matrix; and computing a second diagonal mass matrix of an entire analysis region based on the first diagonal mass matrix, wherein the generating includes generating the first diagonal mass matrix by substituting an integration value of the bubble function of each element into the consistent mass matrix, wherein the integration value is found by employing the following equations: 〈 ϕ B , 1 〉 Ω e =   ϕ B   Ω e 2 = CA e Two - dimensions C = 3 4 Three - dimensions C = 4 5 〈 ϕ B , 1 〉 Ω e = ∫ Ω e ⁢ ϕ B ⁢ ⁢ ⅆ Ω   ϕ B   Ω e 2 = 〈 ϕ B , ϕ B 〉 Ω e = 〈 ϕ B 2 , 1 〉 Ω e = ∫ Ω e ⁢ ϕ B 2 ⁢ ⁢ ⅆ Ω A e = ∫ Ω e ⁢ ⁢ ⅆ Ω .