ABSTRACT
For each element, Q et H are approximated by: 2n
N1(x) are some interpolation functions
(2)
(3)
Aij • [ S.N1.Nj dx (4)
a(n+1/Z)t • (an+1 - an) /dt with an • ato + n dt
[AJ [an+1-an/dt)+[Bn+112 ) [an+112 )+[CJ [Bn+112 J+[D) • 0 [A) [Bn+1-Bn/dt) + [E) [ an+112 ) +[ Bn+1/Z) [Bn+uzl + ( F n+1/Z) • 0
(6)
At this level, some approximations are introduced to simplify the problem:
8n+1/2 • 8n Dn+1/2 • 0n F n+1/2 ~ F n Taking into account the relationships:
aBn+1/2 • 1/2 • (an + an+1)
- problem specification - bast or one method of solution - algorithm - translation into a set of instructions called computer
program
