Petrov-Galerkin Immersed IsoP2−P0 Interface Method for Solving Stokes Interface Problem
Year: 2025
Author: Na Zhu, Hongxing Rui
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 3 : pp. 909–921
Abstract
In this paper, we develop an immersed Petrov-Galerkin finite element method for solving two-dimensional Stokes interface problems. The proposed method do not require the solution mesh to align with the fluid interface. We utilize the isoP2−P0 element, which adopts piecewise linear approximation for velocity on fine elements and piecewise constant approximation for pressure on coarse elements. The vector-valued solution map is constructed to approximate the velocity and pressure based on the jump conditions across the interface. Several numerical experiments demonstrate that the proposed method maintain the optimal convergence rate in the L2-norm and the H1-norm for the velocity and the L2-norm for the pressure.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0268
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 3 : pp. 909–921
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Two-phase flow discontinuous viscosity immersed FEM.
Author Details
Na Zhu Email
Hongxing Rui Email