A second-order immersed interface technique for an elliptic Neumann problem

被引：12

作者：

Bouchon, Francois

Peichl, Gunther H.

机构：

[1] Graz Univ, Dept Math & Sci Comp, A-8010 Graz, Austria

[2] Univ Clermont Ferrand, Dept Math, Clermont Ferrand, France

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 02期

关键词：

finite differences; immersed interface; mixed boundary value problem;

D O I：

10.1002/num.20187

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A second-order finite difference scheme for mixed boundary value problems is presented. This scheme does not require the tangential derivative of the Neumann datum. It is designed for applications in which the Neumann condition is available only in discretized form. The second-order convergence of the scheme is proven and the theory is validated by numerical examples. (c) 2006 Wiley Periodicals, Inc.

引用

页码：400 / 420

页数：21

共 50 条

[1] Continuity of the spectrum of the Neumann problem for second-order elliptic operators in expanding domains
Filinovskii, AV
MATHEMATICAL NOTES, 1997, 61 (3-4) : 387 - 391
[2] Continuity of the spectrum of the neumann problem for second-order elliptic operators in expanding domains
A. V. Filinovskii
Mathematical Notes, 1997, 61 : 387 - 391
[3] HIGHER DEGREE IMMERSED FINITE ELEMENT METHODS FOR SECOND-ORDER ELLIPTIC INTERFACE PROBLEMS
Adjerid, Slimane
Ben-Romdhane, Mohamed
Lin, Tao
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2014, 11 (03) : 541 - 566
[4] The Neumann problem for a second-order singular system
Klokov, YA
DIFFERENTIAL EQUATIONS, 2003, 39 (01) : 31 - 35
[5] The Neumann Problem for a Second-Order Singular System
Yu. A. Klokov
Differential Equations, 2003, 39 : 31 - 35
[6] A second-order Cartesian grid finite volume technique for elliptic interface problems
Kandilarov, Juri D.
Koleva, Miglena N.
Vulkov, Lubin G.
LARGE-SCALE SCIENTIFIC COMPUTING, 2008, 4818 : 679 - 687
[7] BOUNDS IN NEUMANN PROBLEM FOR SECOND ORDER UNIFORMLY ELLIPTIC OPERATORS
BRAMBLE, JH
PAYNE, LE
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (03) : 823 - &
[8] SOLVABILITY OF THE DIRICHLET PROBLEM FOR SECOND-ORDER ELLIPTIC EQUATIONS
Dumanyan, V. Zh
THEORETICAL AND MATHEMATICAL PHYSICS, 2014, 180 (02) : 917 - 931
[9] Nonlocal problem for a general second-order elliptic operator
Todorov, Todor D.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (05) : 411 - 422
[10] Solvability of the Dirichlet problem for second-order elliptic equations
V. Zh. Dumanyan
Theoretical and Mathematical Physics, 2014, 180 : 917 - 931

← 1 2 3 4 5 →