An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications.
Esteban SamaniegoCosmin AnitescuSomdatta GoswamiVien Minh Nguyen-ThanhHongwei GuoKhader HamdiaTimon RabczukXiaoying ZhuangPublished in: CoRR (2019)
Keyphrases
- partial differential equations
- numerical methods
- machine learning
- numerical algorithms
- image denoising
- anisotropic diffusion
- level set
- boundary value problem
- numerical scheme
- hamilton jacobi
- eikonal equation
- integral equation
- numerical solution
- image processing
- pattern recognition
- multiscale
- denoising
- diffusion equation
- finite difference
- curve evolution
- feature selection
- fourth order
- lattice boltzmann
- computer architecture
- finite element
- differential equations
- energy minimization
- mathematical morphology
- natural images
- higher order
- optimal solution
- similarity measure