A novel arbitrary Lagrangian-Eulerian finite element method for a mixed parabolic problem in a moving domain
DOI10.1007/s10915-020-01315-9zbMath1502.65129OpenAlexW3089037337MaRDI QIDQ2204878
Publication date: 16 October 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01315-9
stabilityoptimal error estimatesmixed finite elementPiola transformationLagrangian-Eulerian (ALE) mappingmixed parabolic moving domain problem
Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) 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)
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Cites Work
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- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
- A stable finite element for the Stokes equations
- Lagrangian-Eulerian finite element formulation for incompressible viscous flows
- Hierarchical high order finite element spaces in \(H(\operatorname{div},\Omega)\times H^1(\Omega)\) for a stabilized mixed formulation of Darcy problem
- The MINI mixed finite element for the Stokes problem: an experimental investigation
- An arbitrary Lagrangian Eulerian formulation for a 3D eutrophication model in a moving domain
- Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling
- A monolithic arbitrary Lagrangian-Eulerian finite element analysis for a Stokes/parabolic moving interface problem
- Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time
- Stability and geometric conservation laws for ALE formulations
- A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media
- Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements
- An arbitrary lagrangian-eulerian velocity potential formulation for fluid-structure interaction
- Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem
- MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES
- Modeling Transport Phenomena in Porous Media with Applications
- Error analysis of mixed finite element method for Poisson‐Nernst‐Planck system
- Mixed Finite Element Methods and Applications
- Advanced Transport Phenomena
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
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