Convergence of a linearized second-order BDF-FEM for nonlinear parabolic interface problems
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Publication:2006166
DOI10.1016/j.camwa.2015.05.006zbMath1443.65229OpenAlexW213073004MaRDI QIDQ2006166
Publication date: 8 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.05.006
nonlinear parabolic equationfinite element methoddiscontinuous coefficientsinterfacebackward difference formula
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) Quasilinear parabolic equations (35K59)
Related Items (19)
Superconvergence analysis for a nonlinear parabolic equation with a BDF finite element method ⋮ Linearly implicit BDF methods for nonlinear parabolic interface problems ⋮ Linearly Implicit Multistep Methods for Time Integration ⋮ Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method ⋮ Superconvergence analysis for a semilinear parabolic equation with BDF-3 finite element method ⋮ Approximation of quasilinear hyperbolic problems with discontinuous coefficients: an optimal error estimate ⋮ New error analysis of a second order BDF scheme for unsteady natural convection problem ⋮ Meshfree methods for nonlinear equilibrium radiation diffusion equation with jump coefficient ⋮ A two-grid immersed finite element method with the Crank-Nicolson time scheme for semilinear parabolic interface problems ⋮ $L2-1_\sigma$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients ⋮ Unnamed Item ⋮ Linearly implicit GARK schemes ⋮ Linearized four-step implicit scheme for nonlinear parabolic interface problems ⋮ Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions ⋮ Convergence of a second-order linearized BDF-IPDG for nonlinear parabolic equations with discontinuous coefficients ⋮ Approximation of linear hyperbolic interface problems on finite element: some new estimates ⋮ Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model ⋮ Superconvergence analysis of a BDF-3 finite element method for nonlinear parabolic equation ⋮ Optimal convergence analysis of a linearized second-order BDF-PPIFE method for semi-linear parabolic interface problems
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Cites Work
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