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A High-Order Discretization Scheme for Surface Integral Equations for Analyzing the Electroencephalography Forward Problem
Rui Chen, Viviana Giunzioni, Adrien Merlini +1
A Nystrom-based high-order (HO) discretization scheme for surface integral equations (SIEs) for analyzing the electroencephalography (EEG) forward problem is proposed in this work.…
Spectral Analysis of Discretized Boundary Integral Operators in 3D: a High-Frequency Perspective
V. Giunzioni, A. Merlini, F. P. Andriulli
When modeling propagation and scattering phenomena using integral equations discretized by the boundary element method, it is common practice to approximate the boundary of the sca…
Limitations of Nyquist Criteria in the Discretization of 2D Electromagnetic Integral Equations at High Frequency: Spectral Insights into Pollution Effects
Viviana Giunzioni, Adrien Merlini, Francesco P. Andriulli
The use of boundary integral equations in modeling boundary value problems-such as elastic, acoustic, or electromagnetic ones-is well established in the literature and widespread i…