Performance of nonconforming spectral element method for Stokes problems
From MaRDI portal
Publication:2140790
DOI10.1007/s40314-022-01863-wzbMath1499.65700arXiv2102.05929OpenAlexW3129093595MaRDI QIDQ2140790
Subhashree Mohapatra, N. Kishore Kumar
Publication date: 23 May 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.05929
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stokes and related (Oseen, etc.) flows (76D07) Iterative numerical methods for linear systems (65F10) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Least-squares spectral collocation for the Navier-Stokes equations
- On mass conservation in least-squares methods
- A mixed finite element method for the Stokes problem: an acceleration-pressure formulation
- Least-squares finite element methods
- A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach
- A stable finite element for the Stokes equations
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- Stabilized mixed methods for the Stokes problem
- \(H^{-1}\) least-squares method for the velocity-pressure-stress formulation of Stokes equations
- Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
- A least-squares spectral element formulation for the Stokes problem
- A meshless interpolating Galerkin boundary node method for Stokes flows
- A simple finite element method for the Stokes equations
- Least-squares spectral elements applied to the Stokes problem
- Analysis of the \(L^2\) least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions.
- An unusual stabilized finite element method for a generalized Stokes problem
- First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity
- On the least-squares method
- Local radial basis function collocation method for Stokes equations with interface conditions
- Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition
- Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains
- Nonconforming \(h\)-\(p\) spectral element methods for elliptic problems
- Edge stabilization for the generalized Stokes problem: a continuous interior penalty method
- Development of a meshless hybrid boundary node method for Stokes flows
- An anisotropic pressure-stabilized finite element method for incompressible flow problems
- Mixed finite elements, compatibility conditions, and applications. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, June 26--July 1, 2006
- Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- The finite element method with Lagrangian multipliers
- Least-squares methods for Stokes equations based on a discrete minus one inner product
- Spectral method solution of the Stokes equations on nonstaggered grids
- Solutions to the Navier-Stokes equations with mixed boundary conditions in two-dimensional bounded domains
- A locally conservative, discontinuous least-squares finite element method for the Stokes equations
- NONCONFORMING SPECTRAL ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS
- A Non-Conforming Least Squares Spectral Element Formulation for Oseen Equations with Applications to Navier-Stokes Equations
- A Locally Conservative Mimetic Least-Squares Finite Element Method for the Stokes Equations
- An Iterative Method for Solving Finite Difference Approximations to the Stokes Equations
- Finite Difference Methods for the Stokes and Navier–Stokes Equations
- Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations
- A Robust Numerical Method for Stokes Equations Based on Divergence-FreeH(div) Finite Element Methods
- A comparative study of efficient iterative solvers for generalized Stokes equations
- Least Squares Methods for Elliptic Systems
- An Absolutely Stabilized Finite Element Method for the Stokes Problem
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- A review of least‐squares methods for solving partial differential equations
- Solution of Stokes equations by moving least squares
- Finite Element Methods of Least-Squares Type
- Issues Related to Least-Squares Finite Element Methods for the Stokes Equations
- Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
- An Efficient Iterative Method for the Generalized Stokes Problem
- On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations
- Least-squares spectral collocation method for the Stokes equations
- The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis
- Local Discontinuous Galerkin Methods for the Stokes System
- Vorticity-velocity-pressure formulation for the Stokes problem
- Vorticity-velocity-pressure formulation for Stokes problem
- Improved Local Projection for the Generalized Stokes Problem
- A non‐conforming least‐squares finite element method for incompressible fluid flow problems
- BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES' PROBLEM
- Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids
- Analysis and convergence of a covolume method for the generalized Stokes problem
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- A stabilized finite element method for generalized stationary incompressible flows
- A discontinuous Galerkin method for Stokes equation by divergence‐free patch reconstruction
