Numerical approximation of the square phase-field crystal dynamics on the three-dimensional objects

Mathematics

• Phase Field 100%
• Crystal 76%
• Numerical Approximation 70%
• Three-dimensional 51%
• Object 49%
• Numerical Scheme 28%
• Phase Transition 21%
• Arbitrary 16%
• Discrete Laplacian 14%
• Crystallization 13%
• Lattice Structure 12%
• Discrete Operators 12%
• Efficient Implementation 12%
• Laplace-Beltrami Operator 12%
• Zero set 11%
• Stiffness 11%
• Distance Function 11%
• Level Set 10%
• Update 10%
• Neumann Boundary Conditions 10%
• Liquid 10%
• Variable Coefficients 9%
• Finite Difference Method 9%
• Governing equation 9%
• Stabilization 9%
• Nonlinear Equations 8%
• Linear equation 8%
• Numerical Experiment 7%
• Linear Systems 7%
• Numerical Solution 7%
• Simulation 6%
• Demonstrate 6%
• Standards 5%
• Term 5%
• Coefficient 5%
• Form 4%
• Model 3%

Physics & Astronomy

• crystal field theory 72%
• approximation 38%
• operators 14%
• linear equations 11%
• linear systems 11%
• coefficients 11%
• embedding 10%
• nonlinear equations 9%
• stiffness 9%
• stabilization 8%
• crystallization 7%
• boundary conditions 7%
• liquids 5%
• simulation 3%

Engineering & Materials Science

• Crystals 72%
• Phase transitions 21%
• Linear equations 11%
• Crystallization 11%
• Nonlinear equations 11%
• Finite difference method 10%
• Linear systems 9%
• Stabilization 8%
• Boundary conditions 7%
• Stiffness 7%
• Liquids 6%
• Set theory 6%
• Experiments 3%