Time domain boundary elements for elastodynamic contact

A Aimi, G Di Credico, H Gimperlein - Computer Methods in Applied …, 2023 - Elsevier
This article proposes a boundary element method for the dynamic contact between a linearly
elastic body and a rigid obstacle. The Signorini contact problem is formulated as a …

Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions

A Aimi, G Di Credico, H Gimperlein, EP Stephan - Numerische Mathematik, 2023 - Springer
The solution to the elastodynamic equation in the exterior of a polyhedral domain or a
screen exhibits singular behavior from the corners and edges. The detailed expansion of the …

Boundary elements with mesh refinements for the wave equation

H Gimperlein, F Meyer, C Özdemir, D Stark… - Numerische …, 2018 - Springer
The solution of the wave equation in a polyhedral domain in R^ 3 R 3 admits an asymptotic
singular expansion in a neighborhood of the corners and edges. In this article we formulate …

Time domain boundary element methods for the Neumann problem: Error estimates and acoustic problems

H Gimperlein, C Özdemir, EP Stephan - Journal of Computational …, 2018 - JSTOR
We investigate time domain boundary element methods for the wave equation in ℝ³, with a
view towards sound emission problems in computational acoustics. The Neumann problem …

Time domain boundary elements for dynamic contact problems

H Gimperlein, F Meyer, C Özdemir… - Computer Methods in …, 2018 - Elsevier
This article considers a unilateral contact problem for the wave equation. The problem is
reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave …

A residual a posteriori error estimate for the time–domain boundary element method

H Gimperlein, C Özdemir, D Stark, EP Stephan - Numerische Mathematik, 2020 - Springer
This article investigates residual a posteriori error estimates and adaptive mesh refinements
for time-dependent boundary element methods for the wave equation. We obtain reliable …

Space–time boundary elements for frictional contact in elastodynamics

A Aimi, G Di Credico, H Gimperlein - Computer Methods in Applied …, 2024 - Elsevier
This article studies a boundary element method for dynamic frictional contact between
linearly elastic bodies. We formulate these problems as a variational inequality on the …

[HTML][HTML] Weak imposition of boundary conditions for the boundary element method in the time domain

A Aimi, G Di Credico, H Gimperlein… - Applied Numerical …, 2024 - Elsevier
In this article we present a boundary element formulation for time dependent elastodynamic
wave propagation in 2D interior domains with inhomogeneous boundary conditions. These …

Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation

D Seibel - Numerische Mathematik, 2022 - Springer
Abstract Time-domain Boundary Element Methods (BEM) have been successfully used in
acoustics, optics and elastodynamics to solve transient problems numerically. However, the …

Error estimates for FE-BE coupling of scattering of waves in the time domain

H Gimperlein, C Özdemir, EP Stephan - Computational Methods in …, 2022 - degruyter.com
This article considers a coupled finite and boundary element method for an interface
problem for the acoustic wave equation. Well-posedness, a priori and a posteriori error …