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operator-learning's Issues

What discretization is the Helmholtz problem used in the paper?

In the paper, it just says "Equation (4.2) is solved using a finite element method on a 100 ร— 100 grid". I am not an expert in Julia, but is the porder chosen as 2 here for the Helmholtz data generated (i.e., piecewise bi-quadratic conforming element)? Thanks.

function Domain(nodes::Array{Float64, 2}, elnodes::Array{Int64, 2},
bc_nodes::Array{Bool, 2}, bc_types::Array{String, 1}, bc_funcs::Array{Function, 1},
porder::Int64 = 2, ngp::Int64 = 3;
ฯ‰::Float64 = 0.0,
c_func::Function = (x,y)->1.0,
s_func::Function = (x,y)->0.0)

Availability of data for Navier-Stokes

Hello, in the Navier-Stokes DeepONet model:

theta = np.load(prefix+"Random_NS_theta_" + str(N_theta) + ".npy")
cs = np.load(prefix+"Random_NS_curl_f_" + str(N_theta) + ".npy")
K = np.load(prefix+"Random_NS_omega_" + str(N_theta) + ".npy")

where are the three .npy files located? In the data set link, the NS data set contains the input output pair of shapes (40000, *mesh_size), is this the same file to get the vorticity the variable names suggested above?

@Zhengyu-Huang

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