Imperial College London

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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Summary

 

Publications

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  - JOUR
AB - 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,CJ
AU - Graber,PJ
AU - Kirby,RC
DO - 10.1007/s00211-018-0980-4
EP - 991
PY - 2018///
SN - 0029-599X
SP - 963
TI - Mixed finite elements for global tide models with nonlinear damping
T2 - Numerische Mathematik
UR - http://dx.doi.org/10.1007/s00211-018-0980-4
UR - http://arxiv.org/abs/1706.01352v1
UR - http://hdl.handle.net/10044/1/61679
VL - 140
ER -