Bubble Functions Prompt

نویسندگان

  • Leopoldo P. Franca
  • Charbel Farhat
چکیده

A second order linear scalar diierential equation including a zero-th order term is approximated using rst the standard Galerkin method enriched with bubble functions. Static condensation of the bubbles suggest an unusual stabilized nite element method for which we establish a convergence study and obtain successful numerical simulations. The method is generalized to allow for a convection operator in the equation. This work may be employed as a starting point for simulation of nonlinear equations governing turbulence phenomena, ows with chemical reactions, and other important problems.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bubble Functions Prompt Unusual Stabilized Finite Element Methods

A second order linear scalar diierential equation including a zero-th order term is approximated using rst the standard Galerkin method enriched with bubble functions. Static condensation of the bubbles suggest an unusual stabilized nite element method for which we establish a convergence study and obtain successful numerical simulations. The method is generalized to allow for a convection oper...

متن کامل

Complicated Hydatid Cyst and “Air Bubble” Sign: A Stepping-Stone to Correct Diagnosis

BACKGROUND Hydatid cyst, or Echinococcosis, is an important helminthic zoonotic disease in humans that commonly affects the liver and lungs. Uncomplicated hydatid cysts, seen as round opaque lesions on chest radiography, are easily diagnosed, whereas complicated cysts (infected and or perforated) may change the radiographic appearance of the hydatid cyst, causing an incorrect diagnosis and dela...

متن کامل

Treatments of discontinuity and bubble functions in the multigrid method

When multilevel finite element spaces are not nested, different intergrid transfer operators would lead to different multigrid algorithms. It is proposed in this paper that discontinuous functions be averaged to continuous functions and that the bubble functions be discarded in the multigrid transferring. Applications of the techniques to various problems are presented with convergence analysis...

متن کامل

Gauge independence of the bubble nucleation rate in theories with radiative symmetry breaking.

In field theories where a metastable false vacuum state arises as a result of radiative corrections, the calculation of the rate of false vacuum decay by bubble nucleation depends on the effective potential and the other functions that appear in the derivative expansion of the effective action. Beginning with the Nielsen identity, we derive a series of identities that govern the gauge dependenc...

متن کامل

On the stability of bubble functions and a stabilized mixed finite element formulation for the Stokes problem

In this paper we investigate the relationship between stabilized and enriched finite element formulations for the Stokes problem. We also present a new stabilized mixed formulation for which the stability parameter is derived purely by the method of weighted residuals. This new formulation allows equal order interpolation for the velocity and pressure fields. Finally, we show by counterexample ...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007