Frank X. Giraldo

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One major issue in the accurate solution of convection-dominated problems by means of high-order methods is the ability of the solver to maintain monotonicity. This problem is critical for spectral elements, where Gibbs oscillations may pollute the solution. However, typical filter-based stabilization techniques used with spectral elements are not monotone.(More)
We describe our ongoing effort to optimize a next-generation atmospheric model based on the continuous Galerkin, or spectral element, method: the Nonhydrostatic Unified Model of the Atmosphere (NUMA), which is targeted towards large cluster architectures. The linear solver within a distributed memory paradigm is critical for overall model efficiency. The(More)
The focus of this Computational Engineering Workshop was on the mathematical foundation of state-of-the-art and emerging finite element methods in engineering analysis. The 52 participants included mathematicians and engineers with shared interest on discontinuous Galerkin or PetrovGalerkin methods and other generalized nonconforming or mixed finite element(More)
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