Abstract
We show how to reduce the computational time of the practical implementation of the Raviart-Thomas mixed method for second-order elliptic problems. The implementation takes advantage of a recent result which states that certain local subspaces of the vector unknown can be eliminated from the equations by transforming them into stabilization functions; see the paper published online in JJIAM on August 10, 2023. We describe in detail the new implementation (in MATLAB and a laptop with Intel(R) Core (TM) i7-8700 processor which has six cores and hyperthreading) and present numerical results showing 10 to 20% reduction in the computational time for the Raviart-Thomas method of index k, with k ranging from 1 to 20, applied to a model problem.
Original language | English (US) |
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Pages (from-to) | 221-237 |
Number of pages | 17 |
Journal | Mathematics In Engineering |
Volume | 6 |
Issue number | 2 |
DOIs | |
State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024 the Author(s)
Keywords
- hybridizable discontinuous Galerkin methods
- hybridization
- mixed methods
- mixed methods
- static condensation