A posteriori error analysis of a mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity

DOI10.1007/s10915-018-0810-yzbMath1417.65195OpenAlexW2888134971MaRDI QIDQ2420687

Ricardo Oyarzúa, Javier A. Almonacid, Gabriel N. Gatica

Publication date: 6 June 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0810-y

zbMATH Keywords

reliabilityefficiencyadaptive algorithma posteriori error analysisBoussinesq modelaugmented mixed-primal formulation

Mathematics Subject Classification ID

Related Items (8)

Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis ⋮ A fully-mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent parameters ⋮ Penalty decoupled iterative methods for the stationary natural convection equations with different Rayleigh numbers ⋮ Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics ⋮ An analysis of weak Galerkin finite element method for a steady state Boussinesq problem ⋮ A discontinuous Galerkin method for the stationary Boussinesq system ⋮ A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models ⋮ A posteriori error analysis of a momentum and thermal energy conservative mixed FEM for the Boussinesq equations

Uses Software

• FreeFem++
• MUMPS

Cites Work

• Unnamed Item
• Unnamed Item
• A posteriori error estimation and adaptive computation of conduction convection problems
• Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity
• A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model
• Theory and practice of finite elements.
• A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity
• A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
• A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems
• A refined mixed finite element method for the boussinesq equations in polygonal domains
• A Simple Introduction to the Mixed Finite Element Method
• A posteriorierror analysis for a viscous flow-transport problem
• Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D
• Mixed and Hybrid Finite Element Methods
• New development in freefem++
• On thea priori anda posteriori error analysis of a two-fold saddle-point approach for nonlinear incompressible elasticity

This page was built for publication: A posteriori error analysis of a mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity