Solving wave PDE with ModelingToolkit.jl and method of lines

Specific Domains Modelling & Simulations
21

Thanks Chris - I have tried to do it but I got a bit stuck.

It seems that to initialize the ilu one should know the coefficient matrix A, but how do we get that in our problem? Can it be extracted somehow from the output of the discretize command?

prob = discretize(pdesys, discretization)

using IncompleteLU, LinearAlgebra 

LU = ilu(A, τ = 0.1)
sol = solve(prob, Rodas5P(linsolve = IterativeSolversJL_GMRES(), precs=LU));
22

You don’t need to initialize it, and you don’t want to do it like that because then it’s not state-dependent. Follow how it’s done in Solving Large Stiff Equations · DifferentialEquations.jl