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math.NA2025
Active Learning Based Sampling for High-Dimensional Nonlinear Partial Differential Equations
Wenhan Gao, Chunmei Wang
The deep-learning-based least squares method has shown successful results in solving high-dimensional non-linear partial differential equations (PDEs). However, this method usually…
math.NA2024
A Parallel iterative Algorithm for primal-dual weak Galerkin Schemes
Chunmei Wang, Junping Wang
This paper presents and analyzes a parallelizable iterative procedure based on domain decomposition for primal-dual weak Galerkin (PDWG) finite element methods applied to the Poiss…