4.7 Article

Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics

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Publisher

ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.113224

Keywords

Compatible finite elements; Incompressibility; Elasticity; Brinkman; Nitsche's method

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In this note we will explore some applications of the recently constructed piecewise affine, H-1-conforming element that fits in a discrete de Rham complex (Christiansen and Hu, 2018). In particular we show how the element leads to locking free methods for incompressible elasticity and viscosity robust methods for the Brinkman model. (C) 2020 TheAuthor(s). Published by Elsevier B.V.

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