From h to p efficiently: optimal implementation strategies for explicit time‐dependent problems using the spectral/ hp element method
نویسندگان
چکیده
منابع مشابه
From h to p efficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/hp element method
We investigate the relative performance of a second-order Adams-Bashforth scheme and second-order and fourth-order Runge-Kutta schemes when time stepping a 2D linear advection problem discretised using a spectral/hp element technique for a range of different mesh sizes and polynomial orders. Numerical experiments explore the effects of short (two wavelengths) and long (32 wavelengths) time inte...
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The solution of elliptic boundary value problems often leads to singularities due to nonsmoothness of the domains on which the problem is posed. This paper studies the performance of the nonconforming hp/spectral element method for elliptic problems on non smooth domains. This paper deals with monotone singularities of type rα and rα log r as well as the oscillating singularities of type rα sin...
متن کاملFrom h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations
Article history: Received 24 November 2009 Received in revised form 22 March 2010 Accepted 23 March 2010 Available online 28 March 2010
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Fluids
سال: 2014
ISSN: 0271-2091,1097-0363
DOI: 10.1002/fld.3909