3 papers
math.NA2026
A 3D-ACA accelerated time domain boundary element method for elastodynamics using FMM and -matrix techniques
Vibudha Lakshmi Keshava, Martin Schanz
The time-domain Boundary Element Method (BEM) for linear elastodynamics with vanishing initial conditions is considered. Spatial discretization uses standard low-order boundary ele…
math.NA2025
Comparison of -matrix- and FMM-based 3D-ACA for a time-domain boundary element method
Martin Schanz, Vibudha Lakshmi Keshava, Herbert de Gersem
The homogeneous wave equation is solved by a time-domain boundary element method (BEM) using low-order shape functions for spatial, and the generalised convolution quadrature metho…
math.NA2025
Partial integration based regularization in BEM for 3D elastostatic problems: The role of line integrals
Vibudha Lakshmi Keshava, Martin Schanz
The Boundary Element Method (BEM) is a powerful numerical approach for solving 3D elastostatic problems, particularly useful for crack propagation in fracture mechanics and half-sp…