H1-Galerkin mixed finite element methods for parabolic partial integro-differential equations

DOI10.1093/imanum/22.2.231zbMath1008.65101OpenAlexW2116725264MaRDI QIDQ4548055

Amiya K. Pani, Graeme Fairweather

Publication date: 24 March 2003

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/22.2.231

zbMATH Keywords

convergenceerror estimatesflows in porous mediasemidiscrete and fully discrete schemes\(H^1\)-Galerkin mixed finite element methodsmaterials with memory effectsparabolic partial integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Flows in porous media; filtration; seepage (76S05)

Related Items

Superconvergence ofH¹-Galerkin Mixed Finite Element Methods for Second-Order Elliptic Equations, An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation, Two-grid methods for a new mixed finite element approximation of semilinear parabolic integro-differential equations, Legendre spectral element method for solving Volterra-integro differential equations, Two temporal second-order \(H^1\)-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations, A priori error estimates of <i>P</i>²₀-<i>P</i>¹ mixed finite element methods for a class of nonlinear parabolic equations, Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes, Error estimates of \(H^1\)-Galerkin mixed finite element method for Schrödinger equation, Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation, Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element, Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations, Domain decomposition procedures combined with \(H^1\)-Galerkin mixed finite element method for parabolic equation, An \(H^1\)-Galerkin mixed finite element method for Rosenau equation, On the analysis of a kind of nonlinear Sobolev equation through locally applied pseudo‐spectral meshfree radial point interpolation, A viscoelastic Timoshenko beam model: regularity and numerical approximation, An optimal error estimates of \(H^1\)-Galerkin expanded mixed finite element methods for nonlinear viscoelasticity-type equation, Convergence analysis for \( H^1\)-Galerkin mixed finite element approximation of one nonlinear integro-differential model, A fully-discrete local discontinuous Galerkin method for convection-dominated Sobolev equation, Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains, An \(hp\)-local discontinuous Galerkin method for parabolic integro-differential equations, FINITE DIFFERENCE/<i>H</i>¹-GALERKIN MFE PROCEDURE FOR A FRACTIONAL WATER WAVE MODEL, An \(H^{1}\)-Galerkin mixed finite element method for a class of heat transport equations, A parallel method for the numerical solution of integro-differential equation with positive memory., The time discontinuous \(H^1\)-Galerkin mixed finite element method for linear Sobolev equations, Crank-Nicolson fully discrete \(H^1\)-Galerkin mixed finite element approximation of one nonlinear integrodifferential model, Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear BBM equation, Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method, Second-order approximation scheme combined with \(H^1\)-Galerkin MFE method for nonlinear time fractional convection-diffusion equation, New elliptic projections and a priori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations, Asymptotic Expansions and Extrapolations ofH¹-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation, Weak Galerkin finite element methods for Sobolev equation, Fully discrete finite element scheme for nonlocal parabolic problem involving the Dirichlet energy, Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element, A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation, A posteriorierror estimates forH¹-Galerkin mixed finite-element method for parabolic problems, Local discontinuous Galerkin methods with generalized alternating numerical fluxes for two-dimensional linear Sobolev equation, A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by pseudo-hyperbolic integro-differential equations, A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for elliptic optimal control problems, H¹‐Galerkin expanded mixed finite element methods for nonlinear pseudo‐parabolic integro‐differential equations, \(H^1\)-Galerkin mixed finite element method for the regularized long wave equation, A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation, A modified weak Galerkin finite element method for a class of parabolic problems, Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation, Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations, A local mesh-less collocation method for solving a class of time-dependent fractional integral equations: 2D fractional evolution equation, Weak Galerkin finite element methods for linear parabolic integro-differential equations, \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations, Superconvergence ofH¹-Galerkin mixed finite element methods for parabolic problems, An \(H^1\)-Galerkin expanded mixed finite element approximation of second-order nonlinear hyperbolic equations, Weak Galerkin mixed finite element methods for parabolic equations with memory, Discontinuous mixed covolume methods for linear parabolic integrodifferential problems, AN H1 -GALERKIN MIXED FINITE ELEMENT APPROXIMATION OF A NONLOCAL HYPERBOLIC EQUATION, Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis, An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation, Superconvergence analysis of anH¹-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations, A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation