An Uzawa-type algorithm for the coupled Stokes equations
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DOI: 10.1007/s10483-020-2623-7
Abstract: An Uzawa-type algorithm is designed for the coupled Stokes equations discretized by the mixed finite element method. The velocity solved by the presented algorithm is weakly divergence-free, which is different from the one solved by… read more here.
Keywords: uzawa type; stokes equations; coupled stokes; type algorithm ... See more keywords
Coupling Arbogast–Correa and Bernardi–Raugel elements to resolve coupled Stokes–Darcy flow problems
Sign Up to like & getrecommendations! Published in 2021 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113469
Abstract: Abstract This paper presents a finite element method for solving coupled Stokes–Darcy flow problems by combining the classical Bernardi–Raugel finite elements and the recently developed Arbogast–Correa (AC) spaces on quadrilateral meshes. The novel weak Galerkin… read more here.
Keywords: bernardi raugel; darcy flow; coupled stokes; bernardi ... See more keywords
The locking-free finite difference method based on staggered grids for the coupled Stokes–Biot problem
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DOI: 10.1080/00207160.2022.2033237
Abstract: The finite difference method on staggered grids is developed to solve the coupled Stokes–Biot problem using the covolume integration on the interface. We construct the finite difference scheme on staggered grids, and analyse the stability… read more here.
Keywords: staggered grids; coupled stokes; stokes biot; difference method ... See more keywords
A lowest-order staggered DG method for the coupled Stokes–Darcy problem
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DOI: 10.1093/imanum/drz048
Abstract: In this paper we propose a locally conservative, lowest-order staggered discontinuous Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and polygonal meshes. This model is composed of Stokes flow in the fluid region… read more here.
Keywords: order staggered; lowest order; method coupled; method ... See more keywords
Physics-Informed Neural Networks for Solving Coupled Stokes–Darcy Equation
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DOI: 10.3390/e24081106
Abstract: In this paper, a grid-free deep learning method based on a physics-informed neural network is proposed for solving coupled Stokes–Darcy equations with Bever–Joseph–Saffman interface conditions. This method has the advantage of avoiding grid generation and… read more here.
Keywords: informed neural; network; coupled stokes; physics ... See more keywords