Finite element solution of boundary value problems with nonlocal jump conditions

We consider stationary linear problems on non‐connected layers with distinct material properties. Well posedness and the maximum principle (MP) for the differential problems are proved. A version of the finite element method (FEM) is used for discretization of the continuous problems. Also, the MP a...

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Bibliographic Details
Main Author: Miglena Koleva
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2008-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/7024
Description
Summary:We consider stationary linear problems on non‐connected layers with distinct material properties. Well posedness and the maximum principle (MP) for the differential problems are proved. A version of the finite element method (FEM) is used for discretization of the continuous problems. Also, the MP and convergence for the discrete solutions are established. An efficient algorithm for solution of the FEM algebraic equations is proposed. Numerical experiments for linear and nonlinear problems are discussed. First Published Online: 14 Oct 2010
ISSN:1392-6292
1648-3510