TY - GEN

T1 - On the polarization matrix for a perforated strip

AU - Nazarov, Sergey A.

AU - Orive-Illera, Rafael

AU - Perez-Martinez, María-Eugenia

N1 - Nazarov S.A., Orive-Illera R., Pérez-Martínez ME. (2019) On the Polarization Matrix for a Perforated Strip. In: Constanda C., Harris P. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16077-7_21

PY - 2019

Y1 - 2019

N2 - We consider a boundary value problem for the harmonic functions in an unbounded perforated strip Π∖ω¯¯¯ , ω being the “Dirichlet hole”, namely a bounded Lipschitz domain of R , where a Dirichlet condition is prescribed. The other boundary conditions are periodicity conditions on the lateral boundary of Π = (0, H) × (−∞, ∞). We study properties of the coefficients of the so-called polarization matrix, while we highlight the dependence of these coefficients on the dimensions of the hole by means of two examples.

AB - We consider a boundary value problem for the harmonic functions in an unbounded perforated strip Π∖ω¯¯¯ , ω being the “Dirichlet hole”, namely a bounded Lipschitz domain of R , where a Dirichlet condition is prescribed. The other boundary conditions are periodicity conditions on the lateral boundary of Π = (0, H) × (−∞, ∞). We study properties of the coefficients of the so-called polarization matrix, while we highlight the dependence of these coefficients on the dimensions of the hole by means of two examples.

UR - https://link.springer.com/chapter/10.1007/978-3-030-16077-7_21

M3 - Conference contribution

SN - 9783030160760

SP - 267

EP - 281

BT - Integral Methods in Science and Engineering

ER -