کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
472150 | 698693 | 2015 | 13 صفحه PDF | دانلود رایگان |
In this work we derive equivalence relations between mimetic finite difference schemes on simplicial grids and modified Nédélec–Raviart–Thomas finite element methods for model problems in H(curl) and H(div)H(div). This provides a simple and transparent way to analyze such mimetic finite difference discretizations using the well-known results from finite element theory. The finite element framework that we develop is also crucial for the design of efficient multigrid methods for mimetic finite difference discretizations, since it allows us to use canonical inter-grid transfer operators arising from the finite element framework. We provide special Local Fourier Analysis and numerical results to demonstrate the efficiency of such multigrid methods.
Journal: Computers & Mathematics with Applications - Volume 70, Issue 11, December 2015, Pages 2661–2673