Finite element method for semi-linear elliptical equation with a \(2m-1\) polynomial nonlinearity

DOI10.1016/J.CAMWA.2023.03.007MaRDI QIDQ6161534

Yarong Zhang, Yin-Nian He

Publication date: 5 June 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

finite element methodstability conditionuniqueness conditionOseen iterative method\(2m-1\) polynomial nonlinearitysemi-linear elliptical equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Cites Work

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• Finite element approximation of the Navier-Stokes equations
• Convergence estimates of finite elements for a class of quasilinear elliptic problems
• Uniform error estimates of finite element method for a 3D semilinear elliptic problem with small viscosity
• Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity
• Finite Element Methods for Navier-Stokes Equations
• A Novel Two-Grid Method for Semilinear Elliptic Equations

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