Deep Unfitted Nitsche Method for Elliptic Interface Problems
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Publication:5077697
DOI10.4208/cicp.OA-2021-0201zbMath1493.65203arXiv2107.05325MaRDI QIDQ5077697
Publication date: 19 May 2022
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05325
Artificial neural networks and deep learning (68T07) Numerical mathematical programming methods (65K05) Monte Carlo methods (65C05) Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (9)
A shallow Ritz method for elliptic problems with singular sources ⋮ A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems ⋮ A cusp-capturing PINN for elliptic interface problems ⋮ An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications ⋮ HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network ⋮ A Discontinuity and Cusp Capturing PINN for Stokes Interface Problems with Discontinuous Viscosity and Singular Forces ⋮ High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems ⋮ Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems ⋮ Multi-scale fusion network: a new deep learning structure for elliptic interface problems
Uses Software
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