The direct method of lines for the numerical solutions of interface problem

DOI10.1016/S0045-7825(98)00242-4zbMath0946.65124MaRDI QIDQ1971324

Houde Han, Zhongyi Huang

Publication date: 26 October 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

error estimatesmethod of linesinterface problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (8)

The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-shaped Domains ⋮ The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition ⋮ The direct method of lines for elliptic problems in star-shaped domains ⋮ A survey on artificial boundary method ⋮ A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams ⋮ Discrete boundary conditions for problems with interface ⋮ A study of spectral element method for elliptic interface problems with nonsmooth solutions in $\mathbb{R}^{2}$ ⋮ Method of lines solutions of the parabolic inverse problem with an overspecification at a point

Cites Work

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• Direct and inverse error estimates for finite elements with mesh refinements
• The global element method applied to a harmonic mixed boundary value problem
• The numerical solutions of interface problems by infinite element method
• The \(p\)-version of the finite element method for the elliptic boundary value problems with interfaces
• The use of infinite grid refinements at singularities in the solution of Laplace's equation
• The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines
• On the use of singular functions with finite element approximations
• A finite element scheme for domains with corners
• Error and Stability Analysis of Boundary Methods for Elliptic Problems with Interfaces
• On the poisson equation with intersecting interfaces
• The generation of elements with singularities
• Singular element construction using a mapping technique
• AN ARTIFICIAL BOUNDARY CONDITION FOR TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS USING THE METHOD OF LINES
• The p‐version of the finite element method for domains with corners and for infinite domains

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