A split least-squares characteristic mixed finite element method for Sobolev equations with convection term

DOI10.1016/j.matcom.2009.07.003zbMath1180.65126OpenAlexW2010937153MaRDI QIDQ1037796

Fuzheng Gao, Hong-Xing Rui

Publication date: 16 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.07.003

zbMATH Keywords

stabilityconvergenceerror estimatesnumerical examplesnumerical experimentsleast-squaresSobolev equationmixed finite element

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) 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) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (13)

A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED ELEMENT METHOD FOR SOBOLEV EQUATIONS WITH A CONVECTION TERM ⋮ A hybrid high-order method for Sobolev equation with convection-dominated term ⋮ NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION ⋮ Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations ⋮ Conforming virtual element methods for Sobolev equations ⋮ Virtual element method for nonlinear Sobolev equation on polygonal meshes ⋮ Virtual element method for the Sobolev equations ⋮ Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method ⋮ Weak Galerkin finite element methods for Sobolev equation ⋮ A mass-conservative characteristic splitting mixed finite element method for convection-dominated Sobolev equation ⋮ Unnamed Item ⋮ Error analysis of a mixed finite element approximation of the semilinear Sobolev equations ⋮ An expanded mixed covolume method for sobolev equation with convection term on triangular grids

Cites Work

• A remark on least-squares mixed element methods for reaction-diffusion problems
• Some least-squares Galerkin procedures for first-order time-dependent convection-diffusion system
• A cooling process according to two-temperature theory of heat conduction
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
• First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
• Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
• Analysis of least-squares mixed finite element methods for nonlinear nonstationary convection-diffusion problems
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