A new high order finite volume element solution on arbitrary triangular and quadrilateral meshes
DOI10.1016/j.aml.2022.108354zbMath1503.65278OpenAlexW4288075266WikidataQ114210448 ScholiaQ114210448MaRDI QIDQ2171167
Publication date: 23 September 2022
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2022.108354
postprocessing algorithmanisotropic diffusion equation\(H^1\) and \(L^2\) error estimatesarbitrary triangular and quadrilateral mesheshigh-order finite volume element solution
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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
- Some recent advances on vertex centered finite volume element methods for elliptic equations
- An unconditionally stable quadratic finite volume scheme over triangular meshes for elliptic equations
- Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes
- Higher-order finite volume methods for elliptic boundary value 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 the regularity and uniformness conditions on quadrilateral grids
- High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions
- A unified analysis of a class of quadratic finite volume element schemes on triangular meshes
- A \(Q_1\)-finite volume element scheme for anisotropic diffusion problems on general convex quadrilateral mesh
- A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems
- $L^2$ 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
- A second-order finite volume element method on quadrilateral meshes for elliptic equations
- Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
- Some Error Estimates for the Box Method
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- High Order Continuous Local-Conserving Fluxes and Finite-Volume-Like Finite Element Solutions for Elliptic Equations
- On the Application of the Continuous Galerkin Finite Element Method for Conservation Problems
- The Mathematical Theory of Finite Element Methods
- Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations
- Finite Elements
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- Unnamed Item
- Unnamed Item
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