High order spline finite element method for the fourth-order parabolic equations
type: Item
instance of: scholarly article
title: High order spline finite element method for the fourth-order parabolic equations
zbMATH Open document ID: 1505.65262
author: Shaohong Du
author: Yongping Cheng
author: Mingjun Li
published in: Applied Numerical Mathematics
publication date: 2022-12-09T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 7630347
zbMATH Keywords: fourth-order parabolic equation
zbMATH Keywords: high-order spline element method
zbMATH Keywords: \( L^2\) and \(H^2\) error estimates
zbMATH Keywords: stability condition
MaRDI profile type: Publication
full work available at URL: j.apnum.2022.11.003
OpenAlex ID: W4308804332
cites work: Primal hybrid finite element method for fourth order parabolic problems
cites work: Spline methods for the solution of fourth-order parabolic partial differential equations
cites work: Q5549343
cites work: Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations
cites work: Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
cites work: Weak Galerkin finite element methods for a fourth order parabolic equation
cites work: A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms
cites work: Approximation of the RLW equation by the least square cubic \(B\)-spline finite element method
cites work: A higher order difference method for singularly perturbed parabolic partial differential equations
cites work: Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations
cites work: A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
cites work: Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature
cites work: An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
cites work: Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter
cites work: On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis
cites work: Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
cites work: Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
cites work: Galerkin Methods for Parabolic Equations
cites work: Galerkin methods for parabolic equations with nonlinear boundary conditions
cites work: $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
cites work: Q5624255
cites work: Higher order difference formulas for a fourth order parabolic partial differential equation
cites work: B-spline based finite element method in one-dimensional discontinuous elastic wave propagation
cites work: A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
cites work: A B-spline finite element method for the thermistor problem with the modified electrical conductivity
cites work: Q3321316
cites work: Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems
cites work: A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient
cites work: A B-spline finite element method for solving a class of nonlinear parabolic equations modeling epitaxial thin-film growth with variable coefficient
cites work: Q4104278
cites work: Q5612063
cites work: Q2059578
cites work: A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
cites work: A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation
DOI: 10.1016/J.APNUM.2022.11.003
description: scientific article; zbMATH DE number 7630347