Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning

Keyphrases

• Contour Integral Formulation 50%
• Contour Integration 100%
• Dense Linear System 50%
• Fixed-point Iteration 50%
• GMRES Iteration 50%
• Helmholtz Equation 100%
• High-frequency Problems 50%
• Integration Preconditioning 100%
• Invariant Subspace 50%
• Iterative Solution 50%
• Matrix Size 50%
• Matrix-vector Product 50%
• Numerical Test 50%
• Parallelizable 50%
• Polynomial Preconditioning 100%
• Robust Scheme 50%
• Shift System 50%
• Shifted Linear Systems 50%
• Sparse Linear Systems 50%
• Spectral Projectors 50%
• Storage Requirement 50%
• Three-dimensional (3D) 100%

Mathematics

• Contour Integral 50%
• Contour Integration 100%
• Fixed Point Iteration 50%
• Helmholtz Equation 100%
• Iterative Solution 50%
• Linear System 50%
• Matrix 100%
• Polynomial 100%
• Sparse Linear Systems 50%
• Three-Dimension 50%
• Vector Product 50%

Engineering

• Fixed Points 50%
• Helmholtz's Law 100%
• Invariant Subspace 50%
• Matrix Vector Product 50%
• Solution Method 50%
• Storage Requirement 50%