Error estimate in an isoparametric finite element eigenvalue problem

نویسندگان

چکیده

برای دانلود رایگان 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

An a posteriori error estimate for finite element approximations of a singularly perturbed advection-diffusion problem

In this paper the author presents an a posteriori error estimator for approximations of the solution to an advectiondiffusion equation with a non-constant, vector-valued diffusion coefficient e in a conforming finite element space. Based on the complementary variational principle, we show that the error of an approximate solution in an associated energy norm is bounded by the sum of the weighte...

متن کامل

L2-Error Analysis of an Isoparametric Unfitted Finite Element Method for Elliptic Interface Problems

In the context of unfitted finite element discretizations the realization of high order methods is challenging due to the fact that the geometry approximation has to be sufficiently accurate. Recently a new unfitted finite element method was introduced which achieves a high order approximation of the geometry for domains which are implicitly described by smooth level set functions. This method ...

متن کامل

An Algorithm for Determining Invertible Quadratic Isoparametric Finite Element Transformations

This paper derives an algorithm which determines the invertibility of arbitrary two-dimensional quadratic isoparametric finite element transformations. Theorems verifying the algorithm and guiding the construction of invertible transformations are proven.

متن کامل

An Isoparametric Finite Element Model for Large-Strain Elastostatics

This paper describes a simple finite element model for large-strain elastostatics. The realization of the model in a small-scale computer-code is described. The purpose of the model is to produce test problems for research on the application of penalty techniques in nonlinear elasticity. For this reason the code must balance the requirements of reasonable flexibility with those of computational...

متن کامل

Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration

— We consider a second order real elliptic Dirichlet problem in a bounded plane smooth domain, Lu = f in fi œ Ry u — 0 on dQ. For its numerical solution we employ the finite element method with quadratic triangular isoparametric éléments combined with a numerical intégration procedure involving function values at three nodal points in each element. We prove that iffhas third order derivatives i...

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: Mathematics of Computation

سال: 1994

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-1994-1226814-1