A family of quadratic finite volume element schemes over triangular meshes for elliptic equations
DOI10.1016/j.camwa.2019.11.017zbMath1437.65169OpenAlexW2991838184WikidataQ126627927 ScholiaQ126627927MaRDI QIDQ2308467
Publication date: 3 April 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.11.017
triangular meshesquadratic finite volume element schemescoercivity resultoptimal \(H^1\) error estimates
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Second-order elliptic equations (35J15) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An unconditionally stable quadratic finite volume scheme over triangular meshes for elliptic equations
- A generalization of the vertex-centered finite volume scheme to arbitrary high order
- Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes
- \(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral meshes
- Higher-order finite volume methods for elliptic boundary value problems
- Coercivity results of a modified \(Q_1\)-finite volume element scheme for anisotropic diffusion problems
- On the finite volume element method
- Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems
- \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- On first and second order box schemes
- Box schemes on quadrilateral meshes
- A note on the optimal \(L^2\)-estimate of the finite volume element method
- Superconvergence of quadratic finite volume method on triangular meshes
- A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
- The finite volume method in computational fluid dynamics. An advanced introduction with OpenFOAM and Matlab
- Higher-order finite volume methods. II: Inf-sup condition and uniform local ellipticity
- The finite volume element method with quadratic basis functions
- $L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes
- $L^2$ Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes
- Is 2k-Conjecture Valid for Finite Volume Methods?
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- Some Error Estimates for the Box Method
- On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
- High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Finite Volume Methods for Hyperbolic Problems
- On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Quadratic Finite Volume Method for a Nonlinear Elliptic Problem
- A construction of higher-order finite volume methods
- Finite Elements
This page was built for publication: A family of quadratic finite volume element schemes over triangular meshes for elliptic equations
