A penalty finite element method for a fluid system posed on embedded surface
type: Item
instance of: scholarly article
title: A penalty finite element method for a fluid system posed on embedded surface
zbMATH Open document ID: 1446.76095
author: Maxim A. Olshanskii
author: Vladimir Yushutin
published in: Journal of Mathematical Fluid Mechanics
publication date: 2019-04-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1806.06557
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7047576
zbMATH Keywords: surface Navier-Stokes problem
zbMATH Keywords: fluidic membranes
zbMATH Keywords: trace finite element method
describes a project that uses: DROPS
MaRDI profile type: Publication
OpenAlex ID: W3100684080
arXiv ID: 1806.06557
cites work: A stable numerical method for the dynamics of fluidic membranes
cites work: Q3345931
cites work: Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
cites work: Local projection stabilization of equal order interpolation applied to the Stokes problem
cites work: Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
cites work: A Trace Finite Element Method for Vector-Laplacians on Surfaces
cites work: A continuum theory of elastic material surfaces
cites work: A stabilized finite element method for the Darcy problem on surfaces
cites work: Analysis of finite element methods for vector Laplacians on surfaces
cites work: Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces
cites work: Incompressible fluid problems on embedded surfaces: modeling and variational formulations
cites work: Energetic variational approaches for incompressible fluid systems on an evolving surface
cites work: On improved Sobolev embedding theorems
cites work: A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces
cites work: Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation
cites work: A finite element approach to incompressible two-phase flow on manifolds
cites work: A Finite Element Method for the Surface Stokes Problem
cites work: Trace finite element methods for PDEs on surfaces
cites work: A Finite Element Method for Elliptic Equations on Surfaces
cites work: Analysis of trace finite element methods for surface partial differential equations
cites work: Stream function formulation of surface Stokes equations
cites work: The Interplay of Curvature and Vortices in Flow on Curved Surfaces
cites work: A semi-implicit finite element method for viscous lipid membranes
cites work: Q4888132
cites work: Interfacial Transport Phenomena
cites work: Q3684480
cites work: Nonlinear elasticity in a deforming ambient space
Wikidata QID: Q128369140
DOI: 10.1007/S00021-019-0420-Y
description: scientific article