Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems
DOI10.1007/s00211-023-01356-wzbMath1522.65200arXiv2305.06171OpenAlexW4382726753MaRDI QIDQ6135911
Devika Shylaja, Neela Nataraj, Gopikrishnan C. Remesan, Carsten Carstensen
Publication date: 28 August 2023
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.06171
Navier-Stokes equationssemilinear elliptic problemsvon Kármán equationsdiscontinuous GalerkinMorley finite element methodinterior penalty method
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Semilinear elliptic equations (35J61)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conforming finite element methods for the von Kármán equations
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- A weakly over-penalized symmetric interior penalty method for the biharmonic problem
- An optimal Poincaré inequality for convex domains
- Functional analysis, Sobolev spaces and partial differential equations
- Analysis of nonconforming stream function and pressure finite element spaces for the Navier-Stokes equations
- Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
- A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides
- A Nonconforming Finite Element Approximation for the von Karman equations
- Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition
- Morley finite element method for the eigenvalues of the biharmonic operator
- Finite Element Technique for Optimal Pressure Recovery from Stream Function Formulation of Viscous Flows
- Finite element approximations of the von Kármán equations
- Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. I---Abstract Theory
- Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. II---Overconsistency and Classical Nonconforming Elements
- Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. III---Discontinuous Galerkin and Other Interior Penalty Methods
- Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity
- Finite Elements I
- Lowest-order equivalent nonstandard finite element methods for biharmonic plates
- How to Prove the Discrete Reliability for Nonconforming Finite Element Methods
- Comparison Results of NonstandardP2Finite Element Methods for the Biharmonic Problem
- Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates
This page was built for publication: Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems