[PDF][PDF] Time-dependent problems with the boundary integral equation method

M Costabel, FJ Sayas - Encyclopedia of computational …, 2004 - perso.univ-rennes1.fr
Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

Time domain BEM for sound radiation of tires

L Banz, H Gimperlein, Z Nezhi, EP Stephan - Computational Mechanics, 2016 - Springer
This work investigates a time domain boundary element method for the acoustic wave
equation in an exterior domain in the half-space R^ 3_+ R+ 3. The Neumann problem is …

High-order, dispersionless “fast-hybrid” wave equation solver. Part I: O (1) sampling cost via incident-field windowing and recentering

TG Anderson, OP Bruno, M Lyon - SIAM Journal on Scientific Computing, 2020 - SIAM
This paper proposes a frequency/time hybrid integral-equation method for the time-
dependent wave equation in two-and three-dimensional spatial domains. Relying on Fourier …

Efficient solution of two-dimensional wave propagation problems by CQ-wavelet BEM: algorithm and applications

L Desiderio, S Falletta - SIAM Journal on Scientific Computing, 2020 - SIAM
In this paper we consider wave propagation problems in two-dimensional unbounded
domains, including dissipative effects, reformulated in terms of space-time boundary integral …

Mathematical aspects of variational boundary integral equations for time dependent wave propagation

P Joly, J Rodriguez - 2017 - projecteuclid.org
In this work, we provide a review of recent results on the mathematical analysis of space-
time variational bilinear forms associated to transient boundary integral operators for the …

An overview on a time discrete convolution—space collocation BEM for 2D exterior wave propagation problems

S Falletta, G Monegato, L Scuderi - ANNALI DELL'UNIVERSITA'DI …, 2022 - Springer
We consider 2D transient linear wave propagation problems defined in the exterior of
bounded domains. In particular, we first consider the problem represented by the classical …

Large time step and DC stable TD-EFIE discretized with implicit Runge–Kutta methods

A Dély, FP Andriulli, K Cools - IEEE Transactions on Antennas …, 2019 - ieeexplore.ieee.org
The time domain-electric field integral equation (TD-EFIE) and its differentiated version are
widely used to simulate the transient scattering of a time dependent electromagnetic field by …

Transient elastic wave analysis of 3-D large-scale cavities by fast multipole BEM using implicit Runge–Kutta convolution quadrature

T Maruyama, T Saitoh, TQ Bui, S Hirose - Computer Methods in Applied …, 2016 - Elsevier
Existing boundary element methods (BEMs) have been proven to be efficient numerical
techniques particularly in modeling wave propagation problems but still remain limitations in …

Convolution quadrature time domain integral equation methods for electromagnetic scattering

A Dély, A Merlini, K Cools… - Advances in Time …, 2022 - Wiley Online Library
Summary Time‐Domain Integral Equations discretized by the Time‐Domain Boundary
Element Methods are a key technology when dealing with simulation scenarios including …

Adaptive time domain boundary element methods with engineering applications

H Gimperlein, M Maischak, EP Stephan - 2017 - projecteuclid.org
Time domain Galerkin boundary elements provide an efficient tool for numerical solution of
boundary value problems for the homogeneous wave equation. We review recent advances …