Multi-scale fusion network: a new deep learning structure for elliptic interface problems
DOI10.1016/j.apm.2022.10.006OpenAlexW4303520538MaRDI QIDQ2691986
Yinghao Chen, Jiaxuan Liu, Jinyong Ying, Jiaxin Chen, Muzhou Hou, Shen Cao
Publication date: 21 March 2023
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2022.10.006
electrostaticssolvation free energyelliptic interface problemPoisson-Boltzmann equationsdeep learning method
Artificial intelligence (68Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function
- The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems
- DGM: a deep learning algorithm for solving partial differential equations
- A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation
- Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs
- Int-Deep: a deep learning initialized iterative method for nonlinear problems
- An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems
- A mesh-free method using piecewise deep neural network for elliptic interface problems
- A priori estimates of the population risk for two-layer neural networks
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- A new finite element and finite difference hybrid method for computing electrostatics of ionic solvated biomolecule
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
- Deep Unfitted Nitsche Method for Elliptic Interface Problems
- Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks
This page was built for publication: Multi-scale fusion network: a new deep learning structure for elliptic interface problems
