Publications de Athanasios Polymeridis

On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods

Juan Ramon Mosig, Athanasios Polymeridis

A stable and efficient numerical scheme for the evaluation of surface integrals with 1/R-3-type singularities is presented. The method is based on the combination of the direct evaluation method and the singularity subtraction technique. The proposed metho ...

Elsevier2013

On the numerical evaluation of Green functions for structures with graphene layers

Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis, Athanasios Polymeridis

2013

Analytical shape derivatives of the MFIE system matrix discretized with RWG functions

Juan Ramon Mosig, Athanasios Polymeridis

An analytical formula for the shape derivative of the magnetic field integral equation (MFIE) method of moments (MoM) system matrix (or impedance matrix) is derived and validated against finite difference formulas. The motivation for computing the shape de ...

Institute of Electrical and Electronics Engineers2013

Real axis integration of Sommerfeld integrals with error estimation

Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis, Athanasios Polymeridis

2012

Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products

Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis, Athanasios Polymeridis

Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handl ...

Institute of Electrical and Electronics Engineers2012

KUL and EPFL cooperation on numerical integration of Sommerfeld integrals

Juan Ramon Mosig, Ruzica Golubovic, Athanasios Polymeridis

This paper reports the result of the cooperation between KUL and EPFL on the numerical integration of Sommerfeld integrals (SI). Each institution is well-known for developing specific techniques suited for the evaluation of SI: double-exponential quadratur ...

2012

Numerical integration of Sommerfeld integrals based on singularity extraction techniques and double exponential-type quadrature formulas

Juan Ramon Mosig, Ruzica Golubovic, Athanasios Polymeridis

A direct integration algorithm for the evaluation of Sommerfeld integrals is presented. This algorithm does not require the deformation of the integration path to avoid spectral singularities. The integration is performed along the real axis only. The algo ...

2012

Efficient algorithms for computing Sommerfeld integral tails

Juan Ramon Mosig, Ruzica Golubovic, Athanasios Polymeridis

Sommerfeld-integrals (SIs) are ubiquitous in the analysis of problems involving antennas and scatterers embedded in planar multilayered media. It is well known that the oscillating and slowly decaying nature of their integrands makes the numerical evaluati ...

Institute of Electrical and Electronics Engineers2012

Robust semi-analytical integration of singular impedance matrix elements in surface integral equation solvers

Juan Ramon Mosig, Athanasios Polymeridis

The direct evaluation method tailored to the 4-D singular integrals arising in the second-kind Fredholm surface integral equation formulations is presented. The proposed semi-analytical integration scheme extends the existing singularity cancellation metho ...

2011

On the direct evaluation of surface integral equation impedance matrix elements involving point singularities

Juan Ramon Mosig, Athanasios Polymeridis

The direct evaluation method tailored to the 4-D singular integrals over vertex adjacent triangles, arising in the first-kind and second-kind Fredholm surface integral equation formulations, is presented. A combination of singularity cancellation, reorderi ...

Institute of Electrical and Electronics Engineers2011