Domain-decomposed randomized neural networks assign separate subnetworks to near and far regimes, couple them by interface conditions, and solve only output coefficients from linear least-squares for elliptic, perforated, and time-dependent PDEs on unbounded domains.
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Domain-Decomposed Randomized Neural Networks for Partial Differential Equations in Unbounded Domains
Domain-decomposed randomized neural networks assign separate subnetworks to near and far regimes, couple them by interface conditions, and solve only output coefficients from linear least-squares for elliptic, perforated, and time-dependent PDEs on unbounded domains.