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D3M: A Deep Domain Decomposition Method for Partial Differential Equations

D3M: A Deep Domain Decomposition Method for Partial Differential Equations

A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization problem, and we design a multi-fidelity neural network framework to solve this optimization problem. Our contribution is …