Gradient recovery-based adaptive stabilized mixed FEM for the convection-diffusion-reaction equation on surfaces

DOI10.1016/j.cma.2021.113798zbMath1506.76085OpenAlexW3140753778MaRDI QIDQ2236933

Mengqing Jin, Kun Wang, Xinlong Feng

Publication date: 26 October 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2021.113798

zbMATH Keywords

error estimatemixed finite elementstabilized methodgradient recovery-based adaptive methodsurface convection-diffusion-reaction equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary value problems on manifolds (58J32) Forced convection (76R05)

Related Items (4)

A simple and practical finite difference method for the phase-field crystal model with a strong nonlinear vacancy potential on 3D surfaces ⋮ A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems ⋮ A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds ⋮ A novel implicit meshless particle method: NURBS-based particle hydrodynamics (NBPH)

Uses Software

• PRED_PREY
• CutFEM

Cites Work

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• Recovery-based error estimator for stabilized finite element methods for the Stokes equation
• The surface finite element method for pattern formation on evolving biological surfaces
• Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
• Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
• Stabilized finite element methods. I.: Application to the advective- diffusive model
• Bubble functions prompt unusual stabilized finite element methods.
• Stabilized CutFEM for the convection problem on surfaces
• Theory and practice of finite elements.
• A stabilised finite element method for the convection-diffusion-reaction equation in mixed form
• Local projection stabilization for convection-diffusion-reaction equations on surfaces
• A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces
• The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle
• Turing pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodeposition
• The local tangential lifting method for moving interface problems on surfaces with applications
• A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces
• A stabilized cut finite element method for the Darcy problem on surfaces
• Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
• Characteristic cut finite element methods for convection-diffusion problems on time dependent surfaces
• A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces
• A finite element approach to incompressible two-phase flow on manifolds
• Numerical Methods for Two-phase Incompressible Flows
• A stabilized mixed finite element method for the first‐order form of advection–diffusion equation
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• The lumped mass finite element method for a parabolic problem
• A Surface Phase Field Model for Two-Phase Biological Membranes
• A stabilized finite element method for advection-diffusion equations on surfaces
• Finite element methods for surface PDEs
• Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations

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