A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains

Mathematics

• Unbounded Domain 78%
• Finite Difference Method 73%
• Differential operator 63%
• Bounded Domain 60%
• Acoustics 27%
• Patch Test 20%
• Moving Least Squares 17%
• Meshless Method 15%
• Parameter Tuning 15%
• Stiffness Matrix 15%
• Weighted Least Squares 14%
• Hermann Von Helmholtz 14%
• Kernel Function 13%
• Symmetric Functions 13%
• Basis Functions 12%
• Harmonic 10%
• Gradient 9%
• Discretization 9%
• Energy 8%
• Boundary conditions 8%
• Formulation 8%
• Derivative 7%
• Operator 6%

Physics & Astronomy

• differential operators 100%
• patch tests 45%
• meshfree methods 38%
• kernel functions 37%
• stiffness matrix 34%
• acoustics 29%
• tuning 19%
• boundary conditions 18%
• operators 18%
• harmonics 17%
• formulations 17%
• gradients 16%
• energy 7%

Engineering & Materials Science

• Finite difference method 78%
• Mathematical operators 70%
• Acoustics 41%
• Stiffness matrix 27%
• Derivatives 21%
• Tuning 19%
• Boundary conditions 19%