Finite Element Discrete Equations Discretization General Case Let un(a)=>whj p;(a); v=4i(a) Ah h h x=a(92x,9) < Fhz=(9z),1≤≤m SMA-HPO⊙1999M FEM Poisson in R- 10
Finite Element Discrete Equations Discretization Particular Illustrative Case Uniform mesh 1=4 K=2 n=(m1+1)2 7=(m1-1)2 (0,0)b h=1/m1 SMA-HPO⊙1999M FEM Poisson in R 11
Finite Element Discrete Equations Discretization Particular Illustrative Case Expression for Ah a(w, v)= Vw. Vo dA=/wxUr+ nyoy dA Ah访=a(Pi9j Pi api api di dA ay 1≤3,7≤m SMA-HPO⊙1999M FEM Poisson in R- 12
Finite Element Discrete Equations Discretization Particular Illustrative Case Derivatives of pi 九 0 × 九 api/ac aspira (piecewise constant) (piecewise constant) SMA-HPO⊙1999M FEM Poisson in R 13
Finite Element Discrete Equations Discretization Particular Illustrative Case Evaluation of o(api/a)(api/ax)dA apn/aa NW N Ne PNE/OR ape/aa wl CCE 0|0 dA CSw s se asw/aa ayw/aa 00400040 h2 apw/aa a9/0m SMA-HPO⊙1999M FEM Poisson in R- 14