On the convergence of boundary element methods for initial-Neumann problems for the heat equation

DOI10.1090/S0025-5718-99-01022-4zbMath1043.65110OpenAlexW2073659829MaRDI QIDQ4235506

Hongtao Yang

Publication date: 22 March 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01022-4

zbMATH Keywords

boundary element methoderror estimateHeat equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (5)

Moscow State Academy of Water Transport, Moscow, Russian Federation ⋮ ON SOLVING PLANE PROBLEMS OF NON-STATIONARY HEAT CONDUCTION BY THE COLLOCATION BOUNDARY ELEMENT METHOD ⋮ A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF A TWO-DIMENSIONAL DOMAIN USING SEMIANALYTIC APPROXIMATION OF THE DOUBLE LAYER HEAT POTENTIAL ⋮ A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF DOMAIN IN THE CASE OF TWO-DIMENSIONAL PROBLEMS OF NON-STATIONARY HEAT CONDUCTION WITH BOUNDARY CONDITIONS OF THE SECOND AND THIRD KIND. ⋮ ON THE JOINT APPLICATION OF THE COLLOCATION BOUNDARY ELEMENT METHOD AND THE FOURIER METHOD FOR SOLVING PROBLEMS OF HEAT CONDUCTION IN FINITE CYLINDERS WITH SMOOTH DIRECTRICES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary integral operators for the heat equation
• Classes of solutions of linear systems of partial differential equations of parabolic type
• A weak formulation of boundary integral equations for time dependent parabolic problems
• Curved finite element methods for the solution of singular integral equations on surfaces in \(R^3\)
• A boundary element method for the solution of the transient diffusion equation in two dimensions
• On the Asymptotic Convergence of Collocation Methods
• Boundary Integral Solutions of the Heat Equation
• On the Solution of a Volterra Integral Equation with a Weakly Singular Kernel

This page was built for publication: On the convergence of boundary element methods for initial-Neumann problems for the heat equation