A \(C^1\) virtual element method for the stationary quasi-geostrophic equations of the ocean
From MaRDI portal
Publication:2147288
DOI10.1016/j.camwa.2021.05.022OpenAlexW3168111024MaRDI QIDQ2147288
Publication date: 23 June 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.022
Hydrology, hydrography, oceanography (86A05) Error bounds for boundary value problems involving PDEs (65N15) 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) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (9)
A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering ⋮ Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation ⋮ Adaptive and frugal FETI-DP for virtual elements ⋮ Stability and interpolation properties for Stokes-like virtual element spaces ⋮ A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes ⋮ The Morley-type virtual element method for the Navier-Stokes equations in stream-function form ⋮ A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form ⋮ A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations ⋮ Convergence analysis of virtual element method for nonlinear nonlocal dynamic plate equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Virtual element methods for plate bending problems
- Virtual element method for fourth order problems: \(L^2\)-estimates
- Recent developments in the pure streamfunction formulation of the Navier-Stokes system
- Analysis of nonconforming stream function and pressure finite element spaces for the Navier-Stokes equations
- A priori and a posteriori error analysis for a large-scale ocean circulation finite element model.
- B-spline based finite-element method for the stationary quasi-geostrophic equations of the Ocean
- A two-level finite-element discretization of the stream function form of the Navier-Stokes equations
- Bricks for the mixed high-order virtual element method: projectors and differential operators
- A posteriori analysis of a B-spline based finite-element method for the stationary quasi-geostrophic equations of the ocean
- Morley finite element methods for the stationary quasi-geostrophic equation
- \(p\)- and \(hp\)-virtual elements for the Stokes problem
- A \(C^1\) virtual element method on polyhedral meshes
- A virtual element method for the coupled Stokes-Darcy problem with the Beaver-Joseph-Saffman interface condition
- Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean
- The Stokes complex for virtual elements with application to Navier-Stokes flows
- A \(C^0\)-discontinuous Galerkin method for the stationary quasi-geostrophic equations of the ocean
- A finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the Ocean
- The nonconforming virtual element method for the Navier-Stokes equations
- A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations
- Divergence free virtual elements for the stokes problem on polygonal meshes
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Technique for Optimal Pressure Recovery from Stream Function Formulation of Viscous Flows
- On the boundary value problem of the biharmonic operator on domains with angular corners
- Finite Element Models for Ocean Circulation Problems
- Numerical Simulations of a Two-Layer Quasi-Geostrophic Equation of the Ocean
- An H1-conforming virtual element for Darcy and Brinkman equations
- A virtual element method for the vibration problem of Kirchhoff plates
- A mixed virtual element method for the Navier–Stokes equations
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Virtual elements for a shear-deflection formulation of Reissner–Mindlin plates
- A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Divergence-Free Nonconforming Virtual Element for the Stokes Problem
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- The Mathematical Theory of Finite Element Methods
- The NonConforming Virtual Element Method for the Stokes Equations
- The accuracy, efficiency, and stability of three numerical models with application to open ocean problems
This page was built for publication: A \(C^1\) virtual element method for the stationary quasi-geostrophic equations of the ocean
