Work

Space‐Time Boundary Elements on Graded Meshes for 3D Elastodynamics

Year: 2025

Type: article

Abstract: ABSTRACT The solution to the elastodynamic equations in the exterior of a polygonal or polyhedral domain or a screen exhibits singularities at corners and edges. This paper presents a space‐time boundary element method in 3D on algebraically graded meshes to resolve these singularities, based on recently obtained error estimates for the weakly singular integral equation. Numerical examples show the efficiency of the proposed approach. They confirm the theoretically predicted, quasi‐optimal convergence rates and study the singular behavior of the solution for typical 3D geometries with edges, corners or cone points.

Source: International Journal for Numerical Methods in Engineering

DOI: 10.1002/nme.70163

Authors: Alessandra Aimi, Luca Desiderio, Heiko Gimperlein, Chiara Guardasoni

Institutions: University of Parma, University of Messina, Universität Innsbruck

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,250

Funders: European Commission, Gruppo Nazionale per il Calcolo Scientifico