## Abstract This paper develops a finite element scheme to generate the spatial‐ and time‐dependent absorbing boundary conditions for unbounded elastic‐wave problems. This scheme first calculates the spatial‐ and time‐dependent wave speed over the cosine of the direction angle using the Higdon's on
Long-time behaviour of absorbing boundary conditions
✍ Scribed by B. Engquist; L. Halpern
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 640 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A new class of computational far‐field boundary conditions for hyperbolic partial differential equations was recently introduced by the authors. These boundary conditions combine properties of absorbing conditions for transient solutions and properties of far‐field conditions for steady states. This paper analyses the properties of the wave equation coupled with these new boundary conditions: well‐posedness, dissipativity and convergence in time.
📜 SIMILAR VOLUMES
An absorbing boundary condition for simple layered media is presented. The method enables the modelling of open space radiation and scattering problems when the source (or scatterer) and a plane interface between two media are both located within the finite-difference or finite-element region. The p
## Abstract The paper analyses long time behaviour of solutions of the Navier–Stokes equations in a two‐dimensional pipe‐like domain. The system is studied with perfect slip boundary conditions with arbitrary inflow conditions at infinity. The main results show the existence of global in time solut
The numerical simulation of nonlinear gravity waves propagating at the surface of a perfect fluid is now usually solved by totally For this kind of equations in unbounded domains, exact nonlinear time-domain numerical models in two dimensions, and absorbing boundary conditions nonlocal in both space