Quadrature by expansion: A new method for the evaluation of layer potentials

Keyphrases

• Layer Potentials 100%
• Quadrature by Expansion 100%
• Integral Operator 100%
• Field-induced 50%
• High-order 50%
• Boundary Integral 50%
• Weakly Singular 50%
• Integral Equation Method 50%
• Fast Algorithm 50%
• Easy-to-implement 50%
• Lower Order 50%
• Well Conditions 50%
• Singular Kernel 50%
• Kernel-based 50%
• Asymptotically Optimal 50%
• Nearly Singular 50%
• Special Purpose 50%
• Hierarchical Algorithm 50%
• Exterior Domain 50%
• Fast multipole Method 50%
• Asymptotic Analysis 50%
• Hypersingular Kernels 50%
• Accurate Evaluation 50%
• Singularity Subtraction 50%
• Solutions of Partial Differential Equations 50%
• Smooth Domain 50%
• Generalized Gaussian Quadrature 50%
• Kernel-based Regularization 50%
• Gaussian Quadrature Rule 50%
• Product Integration Rules 50%
• Corner Domain 50%
• Accuracy Test 50%

Mathematics

• Integral Operator 100%
• Integral Equation 50%
• Regularization 50%
• Fast Algorithm 50%
• Partial Differential Equation 50%
• Two Dimensions 50%
• Fast Multipole Method 50%
• Asymptotic Analysis 50%
• Singular Kernel 50%
• Integrated Product 50%
• Gaussian Quadrature 50%
• Exterior Domain 50%
• Integral 50%

Engineering

• Singularities 100%
• Fast Algorithm 50%
• Regularization 50%
• Fast Multipole Method 50%
• Gaussian Quadrature Rule 50%
• Partial Differential Equation 50%