An adaptive spectral/DG method for a reduced phase-space based level set approach to geometrical optics on curved elements

Mathematics

• Level-set Approach 99%
• Geometrical Optics 92%
• Discontinuous Galerkin Method 69%
• Level Set 64%
• Phase Space 60%
• Wave Front 49%
• Spectrality 48%
• Scattering 39%
• Spectral Expansion 29%
• Liouville Equation 27%
• Formulation 27%
• Simulation 27%
• Galerkin Approximation 23%
• Numerical Procedure 23%
• Expand 22%
• Computational Cost 21%
• Hyperbolic Systems 21%
• Resolve 21%
• System of equations 18%
• Smoothness 17%
• Higher Order 15%
• Necessary 14%
• Demonstrate 12%
• Approximation 10%
• Coefficient 10%

Physics & Astronomy

• Galerkin method 74%
• geometrical optics 71%
• hyperbolic systems 30%
• formulations 29%
• Liouville equations 28%
• expansion 26%
• approximation 22%
• scattering 22%
• simulation 16%
• costs 16%
• coefficients 11%

Engineering & Materials Science

• Galerkin methods 72%
• Wavefronts 56%
• Liouville equation 40%
• Scattering 40%
• Set theory 27%
• Costs 8%