An efficient symmetric finite volume element method for second-order variable coefficient parabolic integro-differential equations
DOI10.1007/s40314-020-01318-0zbMath1463.65348OpenAlexW3083105383WikidataQ115373807 ScholiaQ115373807MaRDI QIDQ827364
Publication date: 7 January 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-01318-0
parabolic integro-differential equations\(L^2\)-norm error estimatesbarycenter dual meshsymmetric FVE schemes
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Integro-partial differential equations (35R09) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
- A fully discrete symmetric finite volume element approximation of nonlocal reactive flows in porous media
- Symmetric finite volume method for second order variable coefficient hyperbolic equations
- A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems
- Numerical methods for hyperbolic and parabolic integro-differential equations
- Symmetric finite volume discretizations for parabolic problems.
- Two-grid methods for expanded mixed finite element approximations of semi-linear parabolic integro-differential equations
- Superconvergence of quadratic finite volume method on triangular meshes
- Symmetric modified finite volume element methods for selfadjoint elliptic and parabolic problems
- A symmetric finite volume scheme for selfadjoint elliptic problems
- \textit{A posteriori} error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations
- Symmetric finite volume element approximations of second order linear hyperbolic integro-differential equations
- Optimal weighted upwind finite volume method for convection-diffusion equations in 2D
- A fitted finite volume method for the valuation of options on assets with stochastic volatilities
- Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions
- Weak Galerkin finite element methods for linear parabolic integro-differential equations
- $L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes
- A SYMMETRIC FINITE VOLUME ELEMENT SCHEME ON TETRAHEDRON GRIDS
- On convergence of a fitted finite-volume method for the valuation of options on assets with stochastic volatilities
- Some Error Estimates for the Box Method
- On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Finite Element Methods with Numerical Quadrature for Parabolic Integrodifferential Equations
- Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
- Finite volume element approximations of nonlocal reactive flows in porous media
- Quadratic Finite Volume Method for a Nonlinear Elliptic Problem
- Conditioning of the finite volume element method for diffusion problems with general simplicial meshes
- Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data
- Finite volume methods for eigenvalue problems
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