| Title |
Mixed finite elements for global tide models
|
|---|---|
| Published in |
Numerische Mathematik, July 2015
|
| DOI | 10.1007/s00211-015-0748-z |
| Pubmed ID | |
| Authors |
Colin J. Cotter, Robert C. Kirby |
| Abstract |
We study mixed finite element methods for the linearized rotating shallow water equations with linear drag and forcing terms. By means of a strong energy estimate for an equivalent second-order formulation for the linearized momentum, we prove long-time stability of the system without energy accumulation-the geotryptic state. A priori error estimates for the linearized momentum and free surface elevation are given in [Formula: see text] as well as for the time derivative and divergence of the linearized momentum. Numerical results confirm the theoretical results regarding both energy damping and convergence rates. |
Mendeley readers
The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 6 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 1 | 17% |
| Student > Bachelor | 1 | 17% |
| Student > Doctoral Student | 1 | 17% |
| Unknown | 3 | 50% |
| Readers by discipline | Count | As % |
|---|---|---|
| Engineering | 2 | 33% |
| Mathematics | 1 | 17% |
| Unknown | 3 | 50% |