Reliability-based design optimization,data driven PCE

UQ with UQLab Community Q&A and How To
1

Hi，UQLab，

max: F(Xi,Zi)

F(Xi,Zi) is a implicit model got by finite element method.
Xi (i=1~10) deterministic design variable,
Zi (i=1~9) environmental variable,mean and variance both known.

P[g(Xi,Zi)<=0]<=0.001

Then how to use data driven PCE to approximate F(Xi,Zi) and P[g(Xi,Zi)<=0]?

Could you please make it clear?