Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension

DOI10.1007/S00025-021-01489-0zbMath1505.65260OpenAlexW3196193042MaRDI QIDQ2047395

Abdallah Bradji, Fayssal Benkhaldoun

Publication date: 19 August 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01489-0

zbMATH Keywords

parabolic equationmixed finite element methodRaviart-Thomas spacesnew error estimates

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) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (3)

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 ⋮ 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

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