A numerical method for handling boundary and transmission conditions in some linear partial differential equations

Franck Assous, Michael Michaeli

פרסום מחקרי: פרסום בכתב עתמאמר מכנסביקורת עמיתים

תקציר

In this paper, we propose a method derived from a Nitsche approach for handling boundary and transmission conditions in some partial differential equations. Several years ago, the Nitsche method was introduced to impose weakly essential boundary conditions in the scalar Laplace operator. We propose here an extension to vector div -curl problems. Two examples of applications are presented. The first one is concerned with the Maxwell equations. This allows us to solve these equations, particularly in domains with reentrant corners, where the solution can be singular. The second example deals with the Navier-Lame equations. One can handle the case of a crack existence in a plate domain made of several different layers, characterized by different material properties. Numerical experiments are reported.

שפה מקוריתאנגלית
עמודים (מ-עד)422-431
מספר עמודים10
כתב עתProcedia Computer Science
כרך9
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 2012
אירוע12th Annual International Conference on Computational Science, ICCS 2012 - Omaha, NB, ארצות הברית
משך הזמן: 4 יוני 20126 יוני 2012

ASJC Scopus subject areas

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