Algorithm for computing a transfer function of the Poincar´e-Steklov operator for a stratified elastic strip

Recieved: 05/13/2024

Accepted: 05/28/2024

Published: 01/31/2025

Keywords: Poincaré–Steklov operator, stratified elastic strip, preconditioned conjugate gradient method

To cite this article

Bobylev A.A. Algorithm for computing a transfer function of the Poincar´e-Steklov operator for a stratified elastic strip. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics 2025. N 1. p.10-17 https://doi.org/10.55959/MSU/0137–0782–15–2025–49–1–10–17.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Bobylev A.A. (Lomonosov Moscow State University (MSU))

Abstract

For an isotropic stratified elastic strip we consider the Poincaré–Steklov operator that maps normal stresses into normal displacements on part of the boundary. A new variant of the algorithm is proposed for computing a transfer function of this operator. This variant is based on preconditioned conjugate gradient method.