Archivio Istituzionale della RicercaIn this chapter, we outline the steps needed to bring the abstract formulation of the HHO method to an actual implementation. For simplicity, we focus on the Poisson model problem (see Chap. 1 ). We show how the local HHO operators (reconstruction and stabilization) are translated into matrices that can be used in the actual computation, and we give some criteria to test the implementation. Then we discuss the assembly of the discrete problem and the handling of the boundary conditions. We conclude with a brief overview on computational costs. Along the chapter, we provide some snippets of Matlab®/Octave code to show a possible implementation (in 1D) of the critical parts.
Implementation Aspects / Cicuttin, M.; Ern, A.; Pignet, N. (SPRINGERBRIEFS IN MATHEMATICS). - In: Hybrid High-Order Methods A Primer with Applications to Solid Mechanics[s.l] : Springer Science and Business Media, 2021. - ISBN 978-3-030-81476-2. - pp. 109-127 [10.1007/978-3-030-81477-9_8]
Implementation Aspects
Cicuttin M.;
2021
Abstract
In this chapter, we outline the steps needed to bring the abstract formulation of the HHO method to an actual implementation. For simplicity, we focus on the Poisson model problem (see Chap. 1 ). We show how the local HHO operators (reconstruction and stabilization) are translated into matrices that can be used in the actual computation, and we give some criteria to test the implementation. Then we discuss the assembly of the discrete problem and the handling of the boundary conditions. We conclude with a brief overview on computational costs. Along the chapter, we provide some snippets of Matlab®/Octave code to show a possible implementation (in 1D) of the critical parts.
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https://hdl.handle.net/11583/2979191