Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
2020 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 369, article id 113224Article in journal (Refereed) Published
Abstract [en]
In this note we will explore some applications of the recently constructed piecewise affine, H1-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.
Place, publisher, year, edition, pages
Elsevier, 2020. Vol. 369, article id 113224
Keywords [en]
Brinkman, Compatible finite elements, Elasticity, Incompressibility, Nitsche's method, Computational methods, Computer applications, Brinkman models, Incompressible elasticity, Locking-free, Nearly incompressible, Piecewise affines, Robust methods, Continuum mechanics
National Category
Materials Engineering Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-50103DOI: 10.1016/j.cma.2020.113224ISI: 000558677900002Scopus ID: 2-s2.0-85087108057Local ID: HOA JTH 2020OAI: oai:DiVA.org:hj-50103DiVA, id: diva2:1454591
2020-07-172020-07-172020-08-28Bibliographically approved