A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.03.029 ◽

2019 ◽

Vol 359 ◽

pp. 30-54

Author(s):

Sébastien Court

Keyword(s):

Finite Element Method ◽

Surface Tension ◽

Finite Element ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fictitious Domain ◽

Two Phase ◽

Surface Tension Forces ◽

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STUDY ABOUT APPLICABILITY OF MIXED FINITE ELEMENT METHOD BASED ON PRESSURE FORMULATION FOR TWO PHASE FLOW PROBLEMS

Journal of Japan Society of Civil Engineers Ser C (Geosphere Engineering) ◽

10.2208/jscejge.70.96 ◽

2014 ◽

Vol 70 (1) ◽

pp. 96-105

Author(s):

Makoto ONO ◽

Shunichi SUZUKI

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Phase Flow ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Two Phase ◽

Flow Problems ◽

Pressure Formulation ◽

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Mixed finite element method of hexahedral elements for Navier-Stokes problem

Applied Mathematics and Mechanics ◽

10.1007/bf02456150 ◽

1992 ◽

Vol 13 (12) ◽

pp. 1107-1114

Author(s):

Luo Zhen-dong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Navier Stokes ◽

Hexahedral Elements ◽

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A multiscale mixed finite element method applied to the simulation of two-phase flows

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113870 ◽

2021 ◽

Vol 383 ◽

pp. 113870

Author(s):

Omar Duran ◽

Philippe R.B. Devloo ◽

Sônia M. Gomes ◽

Jose Villegas

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Two Phase Flows ◽

Two Phase ◽

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Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:1999106 ◽

1999 ◽

Vol 33 (1) ◽

pp. 89-97 ◽

Author(s):

Aihui Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Asymptotic Error ◽

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A mixed finite element method to solve the Stokes problem in the stream function and vorticity formulation

Hiroshima Mathematical Journal ◽

10.32917/hmj/1206126673 ◽

1998 ◽

Vol 28 (3) ◽

pp. 381-398 ◽

Author(s):

F. Ghadi ◽

V. Ruas ◽

M. Wakrim

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stream Function ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1996300404011 ◽

1996 ◽

Vol 30 (4) ◽

pp. 401-411 ◽

Author(s):

Aihui Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Elasticity Equation ◽

Global Superconvergence ◽

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On a mixed finite element method for the Stokes problem in $\mathbb {R}^3$

RAIRO Analyse numérique ◽

10.1051/m2an/1982160302751 ◽

1982 ◽

Vol 16 (3) ◽

pp. 275-291 ◽

Author(s):

Juhani Pitkäranta

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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A mixed finite element method for the stokes problem: an acceleration-pressure formulation

Applied Mathematics and Computation ◽

10.1016/0096-3003(90)90016-v ◽

1990 ◽

Vol 36 (2) ◽

pp. 135-146 ◽

Author(s):

Ching Lung Chang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Pressure Formulation ◽

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Numerical approximation of water–air two-phase flow by the mixed finite element method

Computers and Geotechnics ◽

10.1016/j.compgeo.2003.07.001 ◽

2003 ◽

Vol 30 (8) ◽

pp. 695-705 ◽

Author(s):

Johannes Korsawe ◽

Eugen Perau ◽

Susanne Potthoff ◽

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Approximation ◽

Two Phase Flow ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Two Phase ◽

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A mixed finite element method for the generalized Stokes problem

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1029 ◽

2005 ◽

Vol 49 (8) ◽

pp. 877-903 ◽

Author(s):

Rommel Bustinza ◽

Gabriel N. Gatica ◽

María González

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Generalized Stokes Problem ◽

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