An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces
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Publication:6562832
DOI10.1090/mcom/3931zbMATH Open1544.65173MaRDI QIDQ6562832
Arnold Reusken, Maxim A. Olshanskii, Paul Schwering
Publication date: 27 June 2024
Published in: Mathematics of Computation (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Numerical integration over implicitly defined domains for higher order unfitted finite element methods
- Nonlinear elasticity in a deforming ambient space
- Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach
- Symmetry considerations for material surfaces
- A continuum theory of elastic material surfaces
- Incompressible fluid problems on embedded surfaces: modeling and variational formulations
- A penalty finite element method for a fluid system posed on embedded surface
- Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces
- Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
- A numerical method for the simulation of viscoelastic fluid surfaces
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
- Trace finite element methods for PDEs on surfaces
- Error analysis of higher order trace finite element methods for the surface Stokes equation
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- Higher-order accurate integration of implicit geometries
- Energetic variational approaches for incompressible fluid systems on an evolving surface
- A Finite Element Method for Elliptic Equations on Surfaces
- Analysis of trace finite element methods for surface partial differential equations
- A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces
- A Trace Finite Element Method for Vector-Laplacians on Surfaces
- A Finite Element Method for the Surface Stokes Problem
- Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
- On singular limit equations for incompressible fluids in moving thin domains
- Trace finite element methods for surface vector-Laplace equations
- A Divergence-Conforming Finite Element Method for the Surface Stokes Equation
- Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs
- Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations
- An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains
- An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- The Interplay of Curvature and Vortices in Flow on Curved Surfaces
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
- Stream function formulation of surface Stokes equations
- Analysis of finite element methods for vector Laplacians on surfaces
- Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations
- Divergence-free tangential finite element methods for incompressible flows on surfaces
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