Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions

Mathematics

• Manifold 100%
• Partial Differential Equation 100%
• Boundary Condition 100%
• Approximates 16%
• Pointwise 16%
• Function Value 16%
• Matrix (Mathematics) 16%
• Differential Operator 16%
• Approximate Solution 16%
• Euclidean Space 16%
• Submanifold 16%
• Finite Difference Method 16%
• Dirichlet Boundary Condition 16%
• Neumann Boundary Condition 16%
• Eigenvalue Problem 16%
• Kernel Method 16%

Keyphrases

• Diffusion Maps 66%
• Smooth Manifold 33%
• Elliptic PDE 33%
• Ghost Points 33%
• Robin 16%
• Value Function 16%
• Finite Difference Scheme 16%
• Approximate Solution 16%
• Euclidean Space 16%
• PDE 16%
• Tangential Directions 16%
• Point Cloud 16%
• Smoothness Assumption 16%
• Local Kernel 16%
• Dirichlet-to-Neumann 16%
• Second-order Differential Operator 16%
• Manifolds with Boundary 16%
• Well-posed 16%
• PDE Model 16%
• Elliptic Eigenvalue Problem 16%
• Kernel Methods 16%
• Standards Diffusion 16%