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math.NA2024
Accelerated 3D Maxwell Integral Equation Solver using the Interpolated Factored Green Function Method
Jagabandhu Paul, Constantine Sideris
This article presents an method for numerical solution of Maxwell's equations for dielectric scatterers using a 3D boundary integral equation (BIE) method. The underly…
math.NA2024
H-Matrix Accelerated Direct Matrix Solver for Maxwell's Equations using the Chebyshev-based Nyström Boundary Integral Equation Method
Jin Hu, Emrah Sever, Omid Babazadeh +3
An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on…
math.NA2024
A High-order Nyström-based Scheme Explicitly Enforcing Surface Density Continuity for the Electric Field Integral Equation
Jin Hu, Constantine Sideris
This paper introduces an efficient approach for solving the Electric Field Integral Equation (EFIE) with high-order accuracy by explicitly enforcing the continuity of the impressed…