Render unto Numerics: Orthogonal Polynomial Neural Operator for PDEs with Nonperiodic Boundary Conditions.
Ziyuan LiuHaifeng WangHong ZhangKaijun BaoXu QianSonghe SongPublished in: SIAM J. Sci. Comput. (2024)
Keyphrases
- boundary conditions
- diffusion equation
- orthogonal polynomials
- partial differential equations
- sufficient conditions
- shape from shading
- network architecture
- deformation field
- finite element model
- reaction diffusion
- blood flow
- poisson equation
- neural network
- numerical solution
- spline interpolation
- image denoising
- level set
- mathematical morphology
- finite element method
- boundary value problem
- linear space
- image processing
- multiresolution
- fourth order
- measured data
- basis functions
- anisotropic diffusion