Finite Element Solution of Boundary Value Problems with Nonlocal Jump Conditions

Journal Title: Mathematical Modelling and Analysis - Year 2008, Vol 13, Issue 3

Abstract

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.

Authors and Affiliations

M. Koleva

Keywords

Related Articles

On Dependence of Sets of Functions on the Mean Value of their Elements

The paper considers, for a given closed bounded set $Msubset {mathbb R}^m$ and $K=(0,1)^nsubset {mathbb R}^n$, the set ${mathcal M}= { hin L_2(K;{mathbb R}^m)mid h(x) in M,,a.e.,xin K}$ and its subsets [ {mathcal M}(hat...

Genetic Algorithm-based Calibration of Reduced Order Galerkin Models

Low-dimensional models, allowing quick prediction of fluid behaviour, are key enablers of closed-loop flow control. Reduction of the model's dimension and inconsistency of high-fidelity data set and the reduced-order for...

Positive Solutions Bifurcating from Zero Solution in a Predator-Prey Reaction–Diffusion System

An elliptic system subject to the homogeneous Dirichlet boundary con- dition denoting the steady-state system of a two-species predator-prey reaction– diffusion system with the modified Leslie–Gower and Holling-type II s...

A Separation Principle of Time-Varying Dynamical Systems: A Practical Stability Approach

In this paper we treat the problem of practical feedback stabilization for a class of nonlinear time-varying systems by means of an observer. A separation principle is given under a restriction about the perturbed term t...

Relaxation of a Weakly Discontinuous Functional Depending on One Control Function

The paper considers an optimal control problem of the type J=int_{Omega} < B(x) nabla u, nabla u > + < g,nabla u>dx → min div A(x) nabla u-h(x)=0 in Omega u ϵ H[sub]0[/sub][sup]1[/sup](Omega;R[sup]m[/sup]), h...

Download PDF file
  • EP ID EP84234
  • DOI 10.3846/1392-6292.2008.13.383-40
  • Views 94
  • Downloads 0

How To Cite

M. Koleva (2008). Finite Element Solution of Boundary Value Problems with Nonlocal Jump Conditions . Mathematical Modelling and Analysis, 13(3), 383-400. https://europub.co.uk/articles/-A-84234