A Galerkin procedure for diffusion equations with boundary integral conditions

DOI10.1016/0020-7225(90)90087-YzbMath0721.65054OpenAlexW1986526983MaRDI QIDQ2641094

John R. Cannon, Yan Ping Lin

Publication date: 1990

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(90)90087-y

zbMATH Keywords

Galerkin methoderror estimatesdiffusion equationsboundary integral conditions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Numerical solution of a non-local boundary value problem with Neumann's boundary conditions ⋮ A Galerkin Method for a Gaseous Ignition Model ⋮ On the solution of the non-local parabolic partial differential equations via radial basis functions ⋮ Saulyev'S Techniques For Solving A Parabolic Equation With A Non Linear Boundary Specification ⋮ On elliptic equations with general non-local boundary conditions in UMD spaces ⋮ The solution of the diffusion equation in two space variables subject to the specification of mass ⋮ Parallel techniques for a boundary value problem with non-classic boundary conditions ⋮ A numerical method for two-dimensional inverse heat conduction problems ⋮ Numerical procedures for a boundary value problem with a non-linear boundary condition ⋮ The one-dimensional heat equation subject to a boundary integral specification ⋮ Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ⋮ Second-order schemes for a boundary value problem with Neumann's boundary conditions ⋮ Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions ⋮ A numerical procedure for diffusion subject to the specification of mass ⋮ An immediate analysis for global superconvergence for integrodifferential equations ⋮ Convergence of the variational iteration method for the telegraph equation with integral conditions ⋮ Numerical approximations for solving a time-dependent partial differential equation with non-classical specification on four boundaries ⋮ High accuracy analysis for integrodifferential equations

Cites Work

• Unnamed Item
• Unnamed Item
• A Cauchy problem for the heat equation
• Galerkin methods for parabolic equations with nonlinear boundary conditions
• A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
• A Galerkin Method for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations