Poisson CNN: Convolutional neural networks for the solution of the Poisson equation on a Cartesian mesh

Keyphrases

• Convolutional Neural Network 100%
• Poisson 100%
• Poisson Equation 100%
• Cartesian Mesh 100%
• Poisson Problem 75%
• Convolutional Neural Network Architecture 50%
• Computational Fluid Dynamics 50%
• Neural Network Model 25%
• Iterative Algorithm 25%
• Partial Differential Equations 25%
• Iterative Methods 25%
• Novel Loss Function 25%
• Root Mean Square Error 25%
• Velocity Field 25%
• Fully Convolutional Neural Network 25%
• Laplace 25%
• Pressure Field 25%
• Cartesian Grid 25%
• Multigrid 25%
• Analytical Test 25%
• Condition Variables 25%
• Dynamic Solver 25%
• Incompressibility 25%
• Arbitrary Boundary Conditions 25%
• Mean Percentage Error 25%
• Continuous Norms 25%
• Grid Parameters 25%
• Neural Network Method 25%

Mathematics

• Poisson Equation 100%
• Convolutional Neural Network 100%
• Poisson Problem 60%
• Correct Solution 40%
• Initial Guess 40%
• Boundary Condition 40%
• Mean Square Error 20%
• Loss Function 20%
• Partial Differential Equation 20%
• Iterative Method 20%
• Network Model 20%
• Neural Network 20%
• Pressure Field 20%
• Incompressibility 20%
• Subproblem 20%
• Velocity Distribution 20%

Engineering

• Convolutional Neural Network 100%
• Initial Guess 40%
• Neural Network Architecture 40%
• Computational Fluid Dynamics 40%
• Boundary Condition 40%
• Engineering 20%
• Iterative Algorithm 20%
• Velocity Field 20%
• Subproblem 20%
• Root Mean Square Error 20%
• Cartesian Grid 20%
• Multigrid 20%
• Network Model 20%
• Loss Function 20%
• Neural Network Approach 20%
• Pressure Distribution 20%
• Partial Differential Equation 20%