Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels
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Publication:1273740
DOI10.1216/jiea/1181074208zbMath0921.65095OpenAlexW2064033219MaRDI QIDQ1273740
Publication date: 11 April 1999
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL10-1/Cont10-1/Cont10-1.html
error estimatessuperconvergenceparabolic integro-differential equationsemi-discrete finite element methodsintegrable kernel
Related Items (9)
Nonfickian effect in time and space for diffusion processes ⋮ Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation ⋮ \(H^{1}\)-second order convergent estimates for non-Fickian models ⋮ A viscoelastic Timoshenko beam model: regularity and numerical approximation ⋮ Laplace transform -- finite element method for non Fickian flows ⋮ Non-Fickian convection-diffusion models in porous media ⋮ Supraconvergence and supercloseness in Volterra equations ⋮ A two-grid method for finite element solution of parabolic integro-differential equations ⋮ Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state
Cites Work
- On superconvergence techniques
- On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data
- Galerkin finite element methods for parabolic problems
- Diffusion models for fractured media
- Semigroups of linear operators and applications to partial differential equations
- Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations
- Numerical solutions for a class of differential equations in linear viscoelasticity
- Runge-Kutta time discretizations of parabolic Volterra integro- differential equations
- Maximum norm stability and error estimates in parabolic finite element equations
- Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Numerical Solution of Semilinear Integrodifferential Equations of Parabolic Type with Nonsmooth Data
- Galerkin Methods for Nonlinear Parabolic Integrodifferential Equations with Nonlinear Boundary Conditions
- A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
- Time Discretization of an Integro-Differential Equation of Parabolic Type
- A Numerical Method for a Partial Integro-Differential Equation
- Finite element methods for parabolic and hyperbolic partial integro-differential equations
- Error Estimates for Semidiscrete Finite Element Methods for Parabolic Integro-Differential Equations
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
- Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel
- $L_\infty $-convergence of finite element Galerkin approximations for parabolic problems
- Long-Time Numerical Solution of a Parabolic Equation with Memory
- Finite Element Methods with Numerical Quadrature for Parabolic Integrodifferential Equations
- Finite element approximation of diffusion equations with convolution terms
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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