On mixed methods for fourth-order problems
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Publication:1148110
DOI10.1016/0045-7825(80)90038-9zbMath0451.65081OpenAlexW1996967962WikidataQ56996793 ScholiaQ56996793MaRDI QIDQ1148110
Publication date: 1980
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(80)90038-9
Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items (7)
Optimal error estimates of mixed finite element methods for a fourth-order nonlinear elliptic problem ⋮ Mixed finite element methods for a fourth order reaction diffusion equation ⋮ Fast multilevel solvers for a class of discrete fourth order parabolic problems ⋮ Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case ⋮ A novel spectral method and error estimates for fourth-order problems with mixed boundary conditions in a cylindrical domain ⋮ Mixed approximations of evolution problems ⋮ An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem
Cites Work
- Mixed approximations of evolution problems
- Dual iterative techniques for solving a finite element approximation of the biharmonic equation
- Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
- An Alternating Direction Method for Schrödinger’s Equation
- A mixed method for 4th order problems using linear finite elements
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