A priori and a posteriori estimates of conforming and mixed FEM for a Kirchhoff equation of elliptic type

DOI10.1515/cmam-2016-0041zbMath1359.65237OpenAlexW2569928605MaRDI QIDQ521650

Amiya K. Pani, Asha K. Dond

Publication date: 11 April 2017

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2016-0041

zbMATH Keywords

numerical experimentsKirchhoff equationHelmholtz decompositionmixed finite elementa priori and a posteriori estimates

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems, High-order compact finite difference methods for solving the high-dimensional Helmholtz equations, Optimal error estimates of an \(H^1\)-Galerkin mixed finite element method for nonlinear Kirchhoff-type problem, A new expanded mixed finite element method for Kirchhoff type parabolic equation, A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation, Finite element methods: research in India over the last decade, AN H1 -GALERKIN MIXED FINITE ELEMENT APPROXIMATION OF A NONLOCAL HYPERBOLIC EQUATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems
• Remarks on an elliptic equation of Kirchhoff type
• Functional analysis, Sobolev spaces and partial differential equations
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Remarks on a nonlocal problem involving the Dirichlet energy
• A numerical algorithm for the nonlinear Kirchhoff string equation
• A Simple Introduction to the Mixed Finite Element Method
• Finite Element Method for a Nonlocal Problem of Kirchhoff Type
• A posteriori error estimator for expanded mixed hybrid methods
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• On a class of nonlocal nonlinear elliptic problems
• Expanded mixed finite element methods for linear second-order elliptic problems, I
• Expanded mixed finite element methods for quasilinear second order elliptic problems, II
• A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
• Preconditioning in H(𝑑𝑖𝑣) and applications
• Some remarks on non local elliptic and parabolic problems
• A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems
• The Mathematical Theory of Finite Element Methods
• Nonlinear monotone operators and convex sets in Banach spaces
• Finite Elements