Finite Element Discrete Equations Discretization Particular Illustrative Case Evaluation of o(api/ay)(api/ay)dA apn/ay 2/h NWN北NE PNE/Oy 0 ape/ay E a: apsE/ay aps/8y dA=-2/h2 sw as sE n oy asw/8y apw/ay 9i/o9 0e PNW/oy api/ay 4/h SMA-HPO⊙1999M FEM Poisson in R- 15
Finite Element Discrete Equations Discretization Particular Illustrative Case Summary ●a Nonzero entries of row i of Ah 1 identical to finite differences SMA-HPO⊙1999M FEM Poisson in R- 16
Theoretical General Results Analysis Energy Norm Recall lol=a(0, 0)=1ul2r1(0)=Volda Then ell=inf‖-tnh u-) h∈Xh Wn is the projection of u on Xh in the energy norm SMA-HPO⊙1999M FEM Poisson in R- 17