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An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications
Wei Fan Hu,
Te Sheng Lin
*
, Yu Hau Tseng, Ming-Chih Lai
*
此作品的通信作者
應用數學系
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引文 斯高帕斯(Scopus)
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Keyphrases
Hybrid Method
100%
Neural Network
100%
Finite Difference
100%
Elliptic Interface Problem
100%
Poisson Equation
50%
Jump Discontinuity
50%
Two Dimensional
25%
Numerical Results
25%
Three-dimensional (3D)
25%
Easy-to-implement
25%
Supervised Learning
25%
Extra Effort
25%
Stokes Equations
25%
Jump Conditions
25%
Immersed Interface Method
25%
Machine Learning Techniques
25%
Singular Force
25%
Neural Network Learning
25%
Function Approximation
25%
Finite Difference Discretization
25%
Fast Direct Solver
25%
Second-order Accuracy
25%
Laplacian
25%
Five-point
25%
Interface Geometry
25%
Additional Treatment
25%
Irregular Interface
25%
Singular Solutions
25%
Singular Component
25%
Regular Domain
25%
Regular Solutions
25%
Regular Part
25%
Low Regularity
25%
Mathematics
Neural Network
100%
Finite Difference Method
100%
Discretization
66%
Poisson Equation
66%
Jump Discontinuity
66%
Laplace Operator
33%
Stokes Equation
33%
Jump Condition
33%
Approximation Function
33%
Singular Solution
33%
Boundary Condition
33%
Engineering
Hybrid Method
100%
Discretization
50%
Two Dimensional
25%
Laplace Operator
25%
Stokes Equation
25%
Jump Condition
25%
Regular Solution
25%
Learning System
25%
Boundary Condition
25%
Chemical Engineering
Neural Network
100%
Learning System
33%
Supervised Learning
33%