Partial Differential Equations. Introduction Adam Zornes, Deng Li Discretization Methods Chunfang Chen, Danny Thorne, Adam Zornes. What do You Stand For?. A PDE is a P artial D ifferential E quation This is an equation with derivatives of at least two variables in it.
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Ω0 : a three-dimensional acoustic region,
S0 : a plate region,
Γ0=∂Ω0＼S0 : a part of the boundary of the acoustic field,
∂S0 : the boundary of the plate,
P0 : the acoustic pressure in Ω0,
U0 : the vertical plate displacement,
c : the sound velocity,
ρ0 : the air mass density,
D : the flexural rigidity of plate,
ρ1 : the plate mass density,
n : the outward normal vector on ∂Ω from Ω0, and
σ : the outward normal vector on ∂S0 from S0.