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Convergence of Nonconforming Finite Element Approximations to First-Order Linear Hyperbolic Equations
| Content Provider | Scilit |
|---|---|
| Author | Walkington, Noel J. |
| Copyright Year | 1992 |
| Description | Finite element approximations of the first-order hyperbolic equation ${\mathbf {U}} \bullet \nabla u + \alpha u = f$ are considered on curved domains $\Omega \subset {\mathbb {R}^2}$. When part of the boundary of $\Omega$ is characteristic, the boundary of numerical domain, ${\Omega _h}$, may become either an inflow or outflow boundary, so it is necessary to select an algorithm that will accommodate this ambiguity. This problem was motivated by a problem in acoustics, where an equation similar to the one above is coupled to three elliptic equations. In the last section, the acoustics problem is briefly recalled and our results for the first-order equation are used to demonstrate convergence of finite element approximations of the acoustics problem. |
| Related Links | https://www.ams.org/mcom/1992-58-198/S0025-5718-1992-1122082-8/S0025-5718-1992-1122082-8.pdf |
| Ending Page | 691 |
| Page Count | 21 |
| Starting Page | 671 |
| ISSN | 00255718 |
| e-ISSN | 10886842 |
| DOI | 10.2307/2153208 |
| Journal | Mathematics of Computation |
| Issue Number | 198 |
| Volume Number | 58 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1992-04-01 |
| Access Restriction | Open |
| Subject Keyword | Telecommunications Elliptic Equation Hyperbolic Equation First Order Hyperbolic Equations |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Algebra and Number Theory Computational Mathematics |
