A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations
zbMath1499.65459arXiv1401.5139MaRDI QIDQ5035896
Publication date: 22 February 2022
Full work available at URL: https://arxiv.org/abs/1401.5139
numerical quadratureoptimal error estimatesfinite volume elementhyperbolic integro-differential equationcompletely discrete schemesemidiscrete methodRitz-Volterra projection
Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Integro-partial differential equations (35R09) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
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- On the finite volume element method
- Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations
- Numerical methods for hyperbolic and parabolic integro-differential equations
- Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations
- Finite element approximations with quadrature for second-order hyperbolic equations
- Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
- On Convergence of the Finite Element Method for the Wave Equation
- Some Error Estimates for the Box Method
- The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations
- Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
- The effect of spatial quadrature on finite element galerkin approximations to hyperbolic integro-differential equations
- Finite Volume Methods for Elliptic PDE's: A New Approach
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Finite volume element approximations of nonlocal reactive flows in porous media
- Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations