Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Finite element approximation of the first eigenvalue of a nonlinear problem for some special domains

In this paper we present a method for the numerical approximation of the smallest eigenvalue of a nonlinear eigenvalue problem using the finite element method. Numerical results are presented for some special domains when the domain is bounded by a square, a ”circle”, a ”semicircle”, or a quadrant of a ”circle”. We compare the exact solutions with the approximate solutions when the exact soluti...

متن کامل

Finite element approximation of a non-Lipschitz nonlinear eigenvalue problem

Given p e (0, 1), we consider the following problem find u # 0, such that AM = [uf+ =u p in a u = 0 on dO , where Q, er IR is a C 1 domain We prove a near optimal L error bound for the Standard continuous piecewise line ar Galerkin finite element approximation withan acute triangulation In addition we analyse a more practical approximation us ing numerical intégration on the nonlinear term, pro...

متن کامل

Finite element approximation of spectral problems with Neumann boundary conditions on curved domains

This paper deals with the finite element approximation of the spectral problem for the Laplace equation with Neumann boundary conditions on a curved nonconvex domain Ω. Convergence and optimal order error estimates are proved for standard piecewise linear continuous elements on a discrete polygonal domain Ωh 6⊂ Ω in the framework of the abstract spectral approximation theory.

متن کامل

Boundary Element Approximation for Maxwell’s Eigenvalue Problem

We introduce a new method for computing eigenvalues of the Maxwell operator with boundary finite elements. On bounded domains with piecewise constant material coefficients, the Maxwell solution for fixed wave number can be represented by boundary integrals, which allows to reduce the eigenvalue problem to a nonlinear problem for determining the wave number along with boundary and interface trac...

متن کامل

On the Finite Element Solution of the Pure Neumann Problem

This paper considers the finite element approximation and algebraic solution of the pure Neumann problem. Our goal is to present a concise variational framework for the finite element solution of the Neumann problem that focuses on the interplay between the algebraic and variational problems. While many of the results that stem from our analysis are known by some experts, they are seldom derive...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: IMA Journal of Numerical Analysis

سال: 2006

ISSN: 1464-3642,0272-4979

DOI: 10.1093/imanum/drl002