IMPROVED ACCURACY FOR ALTERNATING-DIRECTION METHODS FOR PARABOLIC EQUATIONS BASED ON REGULAR AND MIXED FINITE ELEMENTS

DOI10.1142/S0218202507002285zbMath1146.65068MaRDI QIDQ3502904

Song-Ming Yang, Chieh-Sen Huang, Todd Arbogast

Publication date: 20 May 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

alternating directions methodsplitting error bounds

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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 value problems for second-order parabolic equations (35K15)

Related Items (5)

A New Approach to Constructing Splitting Schemes in Mixed FEM for Heat Transfer: A Priori Estimates ⋮ Improved accuracy for time-splitting methods for the numerical solution of parabolic equations ⋮ A new approach to constructing vector splitting schemes in mixed finite element method for parabolic problems ⋮ Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast ⋮ Bayesian Numerical Homogenization

Cites Work

• Superconvergence for rectangular mixed finite elements
• Superconvergence of mixed finite element methods on rectangular domains
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
• Mixed and Hybrid Finite Element Methods
• IMPROVED ACCURACY FOR LOCALLY ONE-DIMENSIONAL METHODS FOR PARABOLIC EQUATIONS
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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