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[كتاب][B] Retarded potentials and time domain boundary integral equations: A road map
FJ Sayas - 2016 - books.google.com
This book offers a thorough and self-contained exposition of the mathematics of time-domain
boundary integral equations associated to the wave equation, including applications to …
boundary integral equations associated to the wave equation, including applications to …
[PDF][PDF] Time-dependent problems with the boundary integral equation method
Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …
parabolic or hyperbolic partial differential equations can be treated with the boundary …
CVEM-BEM coupling for the simulation of time-domain wave fields scattered by obstacles with complex geometries
In this paper, we present a numerical method based on the coupling between a Curved
Virtual Element Method (CVEM) and a Boundary Element Method (BEM) for the simulation …
Virtual Element Method (CVEM) and a Boundary Element Method (BEM) for the simulation …
Boundary and coupled boundary–finite element methods for transient wave–structure interaction
We propose time-domain boundary integral and coupled boundary integral and variational
formulations for acoustic scattering by linearly elastic obstacles. Well-posedness along with …
formulations for acoustic scattering by linearly elastic obstacles. Well-posedness along with …
Stability and error analysis for a second-order fast approximation of the one-dimensional schrodinger equation under absorbing boundary conditions
A second-order Crank--Nicolson finite difference method, integrating a fast approximation of
an exact discrete absorbing boundary condition, is proposed for solving the one …
an exact discrete absorbing boundary condition, is proposed for solving the one …
A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems
We present a new numerical approach to solve 2D exterior Helmholtz problems defined in
unbounded domains. This consists in reducing the infinite region to a finite computational …
unbounded domains. This consists in reducing the infinite region to a finite computational …
Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides
This work is dedicated to the proof of stability and convergence of the Bérenger's perfectly
matched layers (PMLs) in the waveguides for an arbitrary nonnegative L^∞ dam** …
matched layers (PMLs) in the waveguides for an arbitrary nonnegative L^∞ dam** …
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 …
time variational bilinear forms associated to transient boundary integral operators for the …
Convolution quadrature for the wave equation with a nonlinear impedance boundary condition
A rarely exploited advantage of time-domain boundary integral equations compared to their
frequency counterparts is that they can be used to treat certain nonlinear problems. In this …
frequency counterparts is that they can be used to treat certain nonlinear problems. In this …
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 …
reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave …