Loading...
Please wait, while we are loading the content...
Similar Documents
On the accurate long-time solution of the wave equation in exterior domains: asymptotic expansions and corrected boundary conditions
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Hariharan, S. I. Hagstrom Sr., Thomas Maccamy, R. C. |
| Copyright Year | 1993 |
| Description | We consider the solution of scattering problems for the wave equation using approximate boundary conditions at artificial boundaries. These conditions are explicitly viewed as approximations to an exact boundary condition satisfied by the solution on the unbounded domain. We study the short and long term behavior of the error. It is provided that, in two space dimensions, no local in time, constant coefficient boundary operator can lead to accurate results uniformly in time for the class of problems we consider. A variable coefficient operator is developed which attains better accuracy (uniformly in time) than is possible with constant coefficient approximations. The theory is illustrated by numerical examples. We also analyze the proposed boundary conditions using energy methods, leading to asymptotically correct error bounds. |
| File Size | 1639653 |
| Page Count | 46 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19930017879 |
| Archival Resource Key | ark:/13960/t1dk0bt8d |
| Language | English |
| Publisher Date | 1993-04-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Error Analysis Asymptotic Series Wave Equations Wave Scattering Series Expansion Boundary Conditions Energy Methods Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
