High order spline finite element method for the fourth-order parabolic equations
DOI10.1016/j.apnum.2022.11.003zbMath1505.65262OpenAlexW4308804332MaRDI QIDQ2106240
Yongping Cheng, Shaohong Du, Ming-jun Li
Publication date: 9 December 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.11.003
fourth-order parabolic equationstability condition\( L^2\) and \(H^2\) error estimateshigh-order spline element method
Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability in context of PDEs (35B35) Vibrations in dynamical problems in solid mechanics (74H45) Variational methods applied to PDEs (35A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74)
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