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math.NA2024
Gaussian Variational Schemes on Bounded and Unbounded Domains
Jonas A. Actor, Anthony Gruber, Eric C. Cyr +1
A machine-learnable variational scheme using Gaussian radial basis functions (GRBFs) is presented and used to approximate linear problems on bounded and unbounded domains. In contr…
math.NA2024
A Structure-Preserving Domain Decomposition Method for Data-Driven Modeling
Shuai Jiang, Jonas Actor, Scott Roberts +1
We present a domain decomposition strategy for developing structure-preserving finite element discretizations from data when exact governing equations are unknown. On subdomains, t…