Numerical computations with H(div)-finite elements for the Brinkman problem |
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Authors: | Juho K?nn? Rolf Stenberg |
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Affiliation: | (1) School of Civil and Environmental Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore;(2) The College of Civil Engineering, HoHai University, 1 Xikang Road, Nanjing, 210098, People’s Republic of China |
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Abstract: | The H(div)-conforming approach for the Brinkman equation is studied numerically, verifying the theoretical a priori and a posteriori analysis in K?nn? and Stenberg (2010; Math Models Methods Appl Sci, 2011). Furthermore, the results are extended to cover a non-constant permeability. A hybridization technique for the problem is presented, complete with a convergence analysis and numerical verification. Finally, the numerical convergence studies are complemented with numerical examples of applications to domain decomposition and adaptive mesh refinement. |
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