Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
DOI10.1016/j.camwa.2021.05.034OpenAlexW3172143262WikidataQ114201530 ScholiaQ114201530MaRDI QIDQ2047566
N. D. Lopes, Hermenegildo Borges de Oliveira
Publication date: 20 August 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.034
error analysisexistence and uniquenessconsistency and stability2d Stokes problemCDFEMfeedback forces
Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Uses Software
Cites Work
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- Mathematical aspects of discontinuous Galerkin methods.
- Automated solution of differential equations by the finite element method. The FEniCS book
- On the confinement of a viscous fluid by means of a feedback external field
- \(hp\)-version interior penalty DGFEMs for the biharmonic equation
- Stopping a viscous fluid by a feedback dissipative field. I: The stationary Stokes problem
- Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material
- Two-level mixed finite element methods for the Navier-Stokes equations with damping
- Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
- Theory and practice of finite elements.
- Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
- An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- Finite Element Methods for Navier-Stokes Equations
- Existence and regularity of weak solutions to the Dirichletproblem for semilinear elliptic systems of higher order.
- A numerical analysis of a class of generalized Boussinesq‐type equations using continuous/discontinuous FEM
- Development of a P2 element with optimal L2 convergence for biharmonic equation
- Discontinuous Galerkin finite element approximation of the two‐dimensional Navier–Stokes equations in stream‐function formulation
- The Mathematical Theory of Finite Element Methods
- On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
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