Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations
DOI10.1002/num.21724zbMath1273.65118OpenAlexW2093839386MaRDI QIDQ4929253
Publication date: 13 June 2013
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21724
numerical experimentssuperconvergenceerror estimatefinite volume elementsecond-order hyperbolic equationoptimal stress pointbiquadratic basesfull discrete method
Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
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- On the finite volume element method
- A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems
- A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems
- Superconvergent biquadratic finite volume element method for two-dimensional Poisson's equations
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- ADI quadratic finite volume element methods for second order hyperbolic problems
- Symmetric finite volume discretizations for parabolic problems.
- A note on the optimal \(L^2\)-estimate of the finite volume element method
- Development and analysis of higher order finite volume methods over rectangles for elliptic equations
- Two-grid finite volume element method for linear and nonlinear elliptic problems
- The finite volume element method with quadratic basis functions
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- A second-order finite volume element method on quadrilateral meshes for elliptic equations
- Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
- Parabolic finite volume element equations in nonconvex polygonal domains
- Some Error Estimates for the Box Method
- The Accuracy of Cell Vertex Finite Volume Methods on Quadrilateral Meshes
- Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
- Finite Volume Methods for Elliptic PDE's: A New Approach
- Error estimates for finite volume element methods for general second-order elliptic problems
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Finite Volume Methods for Hyperbolic Problems
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- 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
- Analysis and convergence of finite volume method using discontinuous bilinear functions
- Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data
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