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Divergence-free finite element methods with Raviart-Thomas enrichment for Stokes problems
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Reporter:
Hongxing Rui, Professor, Shandong University
Inviter:
Shuo Zhang, Associate Professor
Subject:
Divergence-free finite element methods with Raviart-Thomas enrichment for Stokes problems
Time and place:
15:00-16:00 May 16 (Thursday) , Z311
Abstract:

In this paper, we present divergence-free finite element methods for the incompressible Stokes equations on general simplicial meshes in two/three dimension, where Raviart-Thomas mixed elements are used as enrichment elements for velocity. The discretization yields exactly divergence-free and pressure independent velocity approximation. LBB consistency condition and optimal order convergence are obtained. For the simple case where a P1⊕RT0 - P0 element is used to approximate velocity and pressure, the method can be easily transformed into a pressure-robust and stabilized P1-P0 discretization via the static condensation of the RT0 component. Numerical experiments illustrate the robustness and accuracy of our method.