# ProfessorColinCotter

Faculty of Natural SciencesDepartment of Mathematics

Professor of Computational Mathematics

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### Contact

+44 (0)20 7594 3468colin.cotter

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### Location

755Huxley BuildingSouth Kensington Campus

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# Citation

## BibTex format

@article{Cotter:2018:10.1007/s00211-018-0980-4,author = {Cotter, CJ and Graber, PJ and Kirby, RC},doi = {10.1007/s00211-018-0980-4},journal = {Numerische Mathematik},pages = {963--991},title = {Mixed finite elements for global tide models with nonlinear damping},url = {http://dx.doi.org/10.1007/s00211-018-0980-4},volume = {140},year = {2018}}

## RIS format (EndNote, RefMan)

TY  - JOURAB  - We study mixed finite element methods for the rotating shallow waterequations with linearized momentum terms but nonlinear drag. By means of anequivalent second-order formulation, we prove long-time stability of the systemwithout energy accumulation. We also give rates of damping in unforced systemsand various continuous dependence results on initial conditions and forcingterms. \emph{A priori} error estimates for the momentum and free surfaceelevation are given in $L^2$ as well as for the time derivative and divergenceof the momentum. Numerical results confirm the theoretical results regardingboth energy damping and convergence rates.AU  - Cotter,CJAU  - Graber,PJAU  - Kirby,RCDO  - 10.1007/s00211-018-0980-4EP  - 991PY  - 2018///SN  - 0029-599XSP  - 963TI  - Mixed finite elements for global tide models with nonlinear dampingT2  - Numerische MathematikUR  - http://dx.doi.org/10.1007/s00211-018-0980-4UR  - http://arxiv.org/abs/1706.01352v1UR  - http://hdl.handle.net/10044/1/61679VL  - 140ER  -