A prolate-element method for nonlinear PDEs on the sphere
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Publication:639411
DOI10.1007/s10915-010-9421-yzbMath1243.76065OpenAlexW2087385306MaRDI QIDQ639411
Zhijian Rong, Li-Lian Wang, Jing Zhang
Publication date: 20 September 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-010-9421-y
Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (8)
On \(hp\)-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme ⋮ The nonconvergence of \(h\)-refinement in prolate elements ⋮ Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics ⋮ Fast and efficient numerical method for solving the Allen-Cahn equation on the cubic surface ⋮ An improved estimate of PSWF approximation and approximation by Mathieu functions ⋮ Numerical, perturbative and Chebyshev inversion of the incomplete elliptic integral of the second kind ⋮ A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions ⋮ Parallel domain decomposition methods with mixed order discretization for fully implicit solution of tracer transport problems on the cubed-sphere
Uses Software
Cites Work
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