Corrected finite element methods on unfitted meshes for Stokes moving interface problem

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dc.contributor.authorLaymuns, Genaro
dc.contributor.authorSanchez, Manuel A.
dc.date.accessioned2025-01-20T21:07:03Z
dc.date.available2025-01-20T21:07:03Z
dc.date.issued2022
dc.description.abstractWe propose an explicit in time corrected finite element method for a problem with a moving elastic interface in Stokes flow, using unfitted meshes and standard finite element approximation spaces. Piecewise polynomial correction functions are computed to accurately capture the discontinuities of the solution resulting from the elastic force applied to the fluid and are used to correct the load vector. The method is proven to be optimal for the steady state problem. Additionally, we propose a trigonometric interpolant to approximate and evolve the interface and explicit Euler scheme to advance in time. Numerical examples demonstrate the third and second order accuracy of the method for the velocity and pressure, respectively, and the stability of the numerical scheme.
dc.description.funderFONDECYT Iniciacion
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.camwa.2021.12.018
dc.identifier.eissn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2021.12.018
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93389
dc.identifier.wosidWOS:000797889000011
dc.language.isoen
dc.pagina.final174
dc.pagina.inicio159
dc.revistaComputers & mathematics with applications
dc.rightsacceso restringido
dc.subjectImmersed boundary methods
dc.subjectCorrected finite element method
dc.subjectUnfitted methods
dc.titleCorrected finite element methods on unfitted meshes for Stokes moving interface problem
dc.typeartículo
dc.volumen108
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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