Simulator-free solution of high-dimensional stochastic elliptic partial differential equations using deep neural networks.
Sharmila KarumuriRohit TripathyIlias BilionisJitesh H. PanchalPublished in: J. Comput. Phys. (2020)
Keyphrases
- partial differential equations
- boundary value problem
- neural network
- numerical methods
- high dimensional
- numerical algorithms
- image denoising
- numerical solution
- ambrosio tortorelli
- numerical scheme
- level set
- integral equation
- anisotropic diffusion
- image enhancement
- image processing
- eikonal equation
- pattern recognition
- energy functional
- differential equations
- multiscale
- fourth order
- mathematical morphology
- curve evolution
- hamilton jacobi
- denoising
- boundary conditions
- finite difference
- finite element method
- high order
- conservation laws
- finite difference method
- parameter space
- diffusion equation
- pairwise
- feature space
- finite element