Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions.
Ziyuan LiuHaifeng WangKaijun BaoXu QianHong ZhangSonghe SongPublished in: CoRR (2022)
Keyphrases
- boundary conditions
- diffusion equation
- orthogonal polynomials
- partial differential equations
- shape from shading
- sufficient conditions
- network architecture
- level set
- reaction diffusion
- neural network
- boundary value problem
- spline interpolation
- deformation field
- finite element model
- blood flow
- linear space
- fixed point theorem
- numerical solution
- associative memory
- fourth order
- multi layered
- variational inequalities
- anisotropic diffusion