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math.NA2026
Fully Automated Adaptive Parameter Selection for 3-D High-order Nyström Boundary Integral Equation Methods
Davit Aslanyan, Constantine Sideris
We present an adaptive Chebyshev-based Boundary Integral Equation (CBIE) solver for electromagnetic scattering from smooth perfect electric conductor (PEC) objects. The proposed ap…
math.NA2025
High order-accurate solution of scattering integral equations with unbounded solutions at corners
Constantine Sideris, Davit Aslanyan, Oscar P. Bruno
Although high-order Maxwell integral equation solvers provide significant advantages in terms of speed and accuracy over corresponding low-order integral methods, their performance…
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…