A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media Academic Article

abstract

• 2017 Elsevier B.V. In this short note we study the interpolation spaces based uniform inf-sup condition for Brinkman equation in highly heterogeneous domains. The result is known to hold in the case of a uniform constant permeability. Our numerical construction and experiments show that it is not true for the Taylor-Hood and the Mini elements applied to problems with highly heterogeneous coefficients.

authors

• Lazarov, Raytcho

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

• Lazarov, R., & Takhirov, A.

citation count

• 1

complete list of authors

• Lazarov, Raytcho||Takhirov, Aziz

publication date

• January 2018

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• Brinkman Equation
• High Contrast
• Inf-sup Condition
• Preconditioning

Digital Object Identifier (DOI)

• 10.1016/j.cam.2017.11.037

start page

• 537

end page

• 545

volume

• 340

URL

• http://dx.doi.org/10.1016/j.cam.2017.11.037