A new error estimate for a primal-dual Crank-Nicolson mixed finite element using lowest degree Raviart-Thomas spaces for parabolic equations

DOI10.1007/978-3-030-97549-4_56zbMath1489.65137OpenAlexW4226282872MaRDI QIDQ2128474

Abdallah Bradji, Fayssal Benkhaldoun

Publication date: 22 April 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-97549-4_56

zbMATH Keywords

parabolic equationsCrank-Nicolson methodlowest-order Raviart-Thomas mixed finite elementsnew error estimate

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

Related Items (2)

Novel analysis approach for the convergence of a second order time accurate mixed finite element scheme for parabolic equations ⋮ A New Analysis for a Super-Convergence Result in the Divergence Norm for Lowest Order Raviart–Thomas Mixed Finite Elements Combined with the Crank–Nicolson Method Applied to One Dimensional Parabolic Equations

Uses Software

• LSUN

Cites Work

• Unnamed Item
• Unnamed Item
• A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems
• Galerkin finite element methods for parabolic problems
• Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension
• Numerical Approximation of Partial Differential Equations
• Error estimates for some mixed finite element methods for parabolic type problems
• Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
• Finite Elements

This page was built for publication: A new error estimate for a primal-dual Crank-Nicolson mixed finite element using lowest degree Raviart-Thomas spaces for parabolic equations