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
DOI10.1007/978-3-031-40864-9_11zbMath1529.65055MaRDI QIDQ6182852
Abdallah Bradji, Fayssal Benkhaldoun
Publication date: 22 December 2023
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
parabolic equationsCrank-Nicolson methodone-dimensional space\({\mathbb R\mathbb T}_0\)-MFEssuper-convergence in the divergence norm
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)
Cites Work
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- Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data
- Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation
- Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension
- A new error estimate for a primal-dual Crank-Nicolson mixed finite element using lowest degree Raviart-Thomas spaces for parabolic equations
- Novel analysis approach for the convergence of a second order time accurate mixed finite element scheme for parabolic equations
- Error estimates for some mixed finite element methods for parabolic type problems
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