Numerical Analysis of Parabolic p-Laplacian: Approximation of Trajectories

DOI10.1137/S0036142998332840zbMath0985.65118OpenAlexW2091336985MaRDI QIDQ4509660

Ning Ju

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142998332840

zbMATH Keywords

uniform convergencefinite element methodssemidiscretizationbackward Euler methodCrank-Nicolson methodparabolic \(p\)-Laplacianquasi-linear equationslong-time dynamicslong-time stability

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Numerical nonlinear stabilities in dynamical systems (65P40)

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