A discontinuity capturing shallow neural network for elliptic interface problems

Mathematics

• Interface Problems 100%
• Neural Networks 76%
• Elliptic Problems 74%
• Discontinuity 72%
• Immersed Interface Method 64%
• Continuous Function 46%
• Piecewise continuous 46%
• Meshfree 28%
• Jump Conditions 27%
• Interface Conditions 25%
• Neural Network Model 25%
• Demonstrate 24%
• Network Model 23%
• Training 21%
• Neuron 21%
• Mean square error 20%
• Governing equation 19%
• Express 17%
• Jump 16%
• High-dimensional 16%
• Linearly 16%
• Grid 16%
• Partial differential equation 14%
• Boundary conditions 13%
• Numerical Examples 12%
• Series 12%

Engineering & Materials Science

• Neural networks 49%
• Partial differential equations 20%
• Mean square error 18%
• Neurons 18%
• Labels 17%
• Boundary conditions 15%

Physics & Astronomy

• discontinuity 72%
• neurons 10%
• education 10%
• partial differential equations 9%
• mesh 9%
• grids 8%
• boundary conditions 7%