Superconvergence analysis of an energy stable scheme with three step backward differential formula‐finite element method for nonlinear reaction–diffusion equation
DOI10.1002/num.22784OpenAlexW3177668457WikidataQ114235184 ScholiaQ114235184MaRDI QIDQ6090397
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22784
nonlinear reaction-diffusion equationunconditional superconvergent resultsBDF3 Galerkin FEMglobal superconvergence property
Error bounds for boundary value problems involving PDEs (65N15) 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
- Unnamed Item
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- Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods
- A two-grid method with expanded mixed element for nonlinear reaction-diffusion equations
- Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
- Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations
- Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation
- Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
- Simple and Efficient ALE Methods with Provable Temporal Accuracy up to Fifth Order for the Stokes Equations on Time Varying Domains
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- Finite Element Methods for Integrodifferential Equations
- A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- Superconvergence analysis for a nonlinear parabolic equation with a BDF finite element method
- Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM
- Superconvergence analysis of a linearized three‐step backward differential formula finite element method for nonlinear Sobolev equation
- A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
- A second-order BDF compact difference scheme for fractional-order Volterra equation
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