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cond-mat.other2026

Gibbs Phenomenon and Friedel Oscilations: Similarities, Differences, and the Educational Potential of their Comparison

Christos Mystilidis, Christos Tserkezis, George Fikioris

The paper compares the Gibbs phenomenon in Fourier series with Friedel oscillations in the electron density of a solid, outlining their similarities and differences and discussing…

physics.app-ph2026

A general framework for the study of electrostatic point charges in multilayer planar structures

George Fikioris, Theodoros T. Koutserimpas, Elias N. Glytsis

We develop a general framework for the electrostatic analysis of point charges in multilayer planar structures with arbitrary layer thicknesses and material parameters. Starting fr…

math.NA2024

Fundamentals of a Null Field Method-Surface Equivalence Principle Approach for Scattering by Dielectric Cylinders

Minas Kouroublakis, Nikolaos L. Tsitsas, George Fikioris

The null-field method (NFM) and the method of auxiliary sources (MAS) have been both used extensively for the numerical solution of boundary-value problems arising in diverse appli…

math.NA2024

Convergence, divergence, and inherent oscillations in MFS solutions of two-dimensional Laplace-Neumann problems

Georgios D. Kolezas, George Fikioris, John A. Roumeliotis

The method of fundamental solutions (MFS), also known as the method of auxiliary sources (MAS), is a well-known computational method for the solution of boundary-value problems. Th…