\(H^{1}\)-second order convergent estimates for non-Fickian models
From MaRDI portal
Publication:617634
DOI10.1016/j.apnum.2010.09.005zbMath1209.65141OpenAlexW1967065527WikidataQ58205299 ScholiaQ58205299MaRDI QIDQ617634
L. Pinto, Sílvia Barbeiro, José Augusto Ferreira
Publication date: 21 January 2011
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2010.09.005
stabilitynumerical resultsfinite difference methodsuperconvergencesemidiscretizationnon-Fickian modelspiecewise linear finite element methodsupraconvergence
Related Items (10)
Nonlinear systems of parabolic IBVP: a stable super-supraconvergent fully discrete piecewise linear FEM ⋮ A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations ⋮ Reaction-diffusion in viscoelastic materials ⋮ Laplace transform -- finite element method for non Fickian flows ⋮ Non-Fickian convection-diffusion models in porous media ⋮ Approximating coupled hyperbolic-parabolic systems arising in enhanced drug delivery ⋮ Supraconvergence and supercloseness in Volterra equations ⋮ Second order approximations for kinetic and potential energies in Maxwell's wave equations ⋮ Anomalous diffusion in porous media ⋮ An integro‐differential model for non‐Fickian tracer transport in porous media: validation and numerical simulation
Cites Work
- Unnamed Item
- Coupled vehicle-skin models for drug release
- Analysis of non-Fickian diffusion problems in a composite medium
- Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation
- A singular perturbation of the heat equation with memory
- On the stability of a class of splitting methods for integro-differential equations
- Quadratic convergence for cell-centered grids
- Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels
- On the supraconvergence of elliptic finite difference schemes
- Finite volume element approximations of nonlocal in time one-dimensional flows in porous media
- Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
- Convolution quadrature time discretization of fractional diffusion-wave equations
- Qualitative analysis of a delayed non-Fickian model
- Supraconvergence and Supercloseness of a Discretisation for Elliptic Third-kind Boundary-value Problems on Polygonal Domains
- On the rate of convergence of finite difference schemes on nonuniform grids
- Supra-Convergent Schemes on Irregular Grids
- The Numerical Solution of Second-Order Boundary Value Problems on Nonuniform Meshes
- Convergence of Finite-Difference Schemes for Elliptic Equations with Variable Coefficients
- Some Stability Inequalities for Compact Finite Difference Schemes
- Error Estimates for Semidiscrete Finite Element Methods for Parabolic Integro-Differential Equations
- Finite Element Methods for Integrodifferential Equations
- On Fully Discrete Galerkin Approximations for Partial Integro-Differential Equations of Parabolic Type
- SharpL2-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media
- Interior Maximum-Norm Estimates for Finite Element Methods, Part II
- Finite Element Methods with Numerical Quadrature for Parabolic Integrodifferential Equations
- Integro-differential models for percutaneous drug absorption
- Memory effects and random walks in reaction-transport systems
- Heat waves
- Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data
- Supraconvergence of a Finite Difference Scheme for Elliptic Boundary Value Problems of the Third Kind in Fractional Order Sobolev Spaces
- Supraconvergence and Supercloseness of a Scheme for Elliptic Equations on Nonuniform Grids
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- Supraconvergence of a finite difference scheme for solutions in Hs(0, L)
This page was built for publication: \(H^{1}\)-second order convergent estimates for non-Fickian models
