Finite element approximation of diffusion equations with convolution terms
From MaRDI portal
Publication:4889918
DOI10.1090/S0025-5718-96-00738-7zbMath0855.76041OpenAlexW2088573677MaRDI QIDQ4889918
Publication date: 11 August 1996
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00738-7
Diffusion (76R50) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items
An approximation scheme for a nonlinear degenerate parabolic equation with a second-order differential Volterra operator ⋮ Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization ⋮ Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation ⋮ Asymptotics and discretization of a weakly singular kernel: application to viscous flows in a network of thin tubes ⋮ Compartment Models with Memory ⋮ Unnamed Item ⋮ Existence and uniqueness of weak solutions for nonlocal parabolic problems via the Galerkin method ⋮ Adaptive double-diffusion model and comparison to a highly heterogeneous micro-model ⋮ Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media ⋮ Poro-viscoelasticity modelling based on upscaling quasistatic fluid-saturated solids ⋮ Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels ⋮ Numerical scheme for a scalar conservation law with memory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence rate estimate for a domain decomposition method
- Diffusion models for fractured media
- Convolution quadrature and discretized operational calculus. II
- Numerical solution of a nonlinear integro-differential equation
- Numerical methods for hyperbolic and parabolic integro-differential equations
- An integrodifferential equation for rigid heat conductors with memory
- Parallel efficiency of domain decomposition methods
- Parallelizing preconditioned conjugate gradient algorithms
- Additive Schwarz algorithms for parabolic convection-diffusion equations
- Discretization with variable time steps of an evolution equation with a positive-type memory term
- Memory effects and homogenization
- A Linear Homogenization Problem with Time Dependent Coefficient
- Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
- Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
- Time Discretization of an Integro-Differential Equation of Parabolic Type
- Analysis of the Simulation of Single Phase Flow Through a Naturally Fractured Reservoir
- Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel
- Long-Time Numerical Solution of a Parabolic Equation with Memory
- On Fully Discrete Galerkin Approximations for Partial Integro-Differential Equations of Parabolic Type
- Stability Theorems for Some Functional Equations
- On heat conduction in materials with memory
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
