<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Starting from a recently developed energetic space-time weak formulation of the Boundary Integral Equations related to scalar wave propagation problems, in this paper we focus for the first time on the 2<italic>D</italic> elastodynamic extension of the above wave propagation analysis. In particular, we consider elastodynamic scattering problems by open arcs, with vanishing initial and Dirichlet boundary conditions and we assess the efficiency and accuracy of the proposed method, on the basis of numerical results obtained for benchmark problems having available analytical solution.</p></abstract>

Starting from a recently developed energetic space-time weak formulation of the Boundary Integral Equations related to scalar wave propagation problems, in this paper we focus for the first time on the 2D elastodynamic extension of the above wave propagation analysis. In particular, we consider elastodynamic scattering problems by open arcs, with vanishing initial and Dirichlet boundary conditions and we assess the efficiency and accuracy of the proposed method, on the basis of numerical results obtained for benchmark problems having available analytical solution.

Application of Energetic BEM to 2D Elastodynamic Soft Scattering Problems

Department of Mathematical, Physical and Computer Sciences

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Application of Energetic BEM to 2D Elastodynamic Soft Scattering Problems"}

Starting from a recently developed energetic space-time weak formulation of the Boundary Integral Equations related to scalar wave propagation problems, in...

Application of Energetic BEM to 2D Elastodynamic Soft Scattering Problems

Published Online: Nov 18, 2019

Page range: 182 - 198

Received: Oct 22, 2018

Accepted: Sep 13, 2019

DOI: https://doi.org/10.1515/caim-2019-0020

Keywords
Elastodynamic wave propagation, soft scattering, space-time boundary integral equation, energetic boundary element method

© 2019 A. Aimi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Application of Energetic BEM to 2D Elastodynamic Soft Scattering Problems

Published Online: Nov 18, 2019

Page range: 182 - 198

Received: Oct 22, 2018

Accepted: Sep 13, 2019

DOI: https://doi.org/10.1515/caim-2019-0020

KeywordsElastodynamic wave propagation, soft scattering, space-time boundary integral equation, energetic boundary element method

© 2019 A. Aimi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Elastodynamic wave propagation, soft scattering, space-time boundary integral equation, energetic boundary element method