112 citations · 1.1k across the 65 of their papers we have counts for
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An adaptive selective frequency damping method
Bastien E. Jordi, Colin J. Cotter, Spencer J. Sherwin
The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has…
Automated generation and symbolic manipulation of tensor product finite elements
Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell +2
We describe and implement a symbolic algebra for scalar and vector-valued finite elements, enabling the computer generation of elements with tensor product structure on quadrilater…
Mixed finite elements for global tide models
Colin J. Cotter, Robert C. Kirby
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…
A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes
John Thuburn, Colin J. Cotter
A new numerical method is presented for solving the rotating shallow water equations on a rotating sphere using quasi-uniform polygonal meshes. The method uses special families of…
A jetlet hierarchy for ideal fluid dynamics
C. J. Cotter, D. D. Holm, H. O. Jacobs +1
Truncated Taylor expansions of smooth flow maps are used in Hamilton's principle to derive a multiscale Lagrangian particle representation of ideal fluid dynamics. Numerical simula…
Compatible finite element methods for numerical weather prediction
C. J. Cotter, A. T. T. McRae
This article takes the form of a tutorial on the use of a particular class of mixed finite element methods, which can be thought of as the finite element extension of the C-grid st…