Dual weighted residual error estimation for the finite cell method

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

A posteriori error estimation and anisotropy detection with the dual weighted residual method

In this work we develop a new framework for a posteriori error estimation and detection of anisotropies based on the dual weighted residual method by Becker and Rannacher. The common approach for anisotropic mesh adaptation is to analyze the Hessian of the solution. Eigenvalues and eigenvectors indicate dominant directions and optimal stretching of elements. However this approach is firmly link...

متن کامل

Dual Weighted Residual Error Control for Frictional Contact Problems

In this paper goal-oriented error control based on dual weighted residual error estimations (DWR) is applied to frictional contact problems. A mixed formulation of the contact problem is used to derive a discretization. It relies on the introduction of Lagrange multipliers to capture the frictional contact conditions. The discretization error is estimated in terms of functionals (the quantities...

متن کامل

On Dual-Weighted Residual Error Estimates for p-Dependent Discretizations

This report analyzes the behavior of three variants of the dual-weighted residual (DWR) error estimates applied to the p-dependent discretization that results from the BR2 discretization of a second-order PDE. Three error estimates are assessed using two metrics: local effectivities and global effectivity. A priori error analysis is carried out to study the convergence behavior of the local and...

متن کامل

Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals

After a short introduction of a new nonconforming linear finite element on quadrilaterals recently developed by Park, we derive a dual weighted residual-based a posteriori error estimator (in the sense of Becker and Rannacher) for this finite element. By computing a corresponding dual solution we estimate the error with respect to a given target error functional. The reliability and efficiency ...

متن کامل

A Space-time Adaptive Semi Dual Weighted Residual Finite Element Method

We propose in this paper a space-time adaptive algorithm based on the Dual Weighted Residual (DWR) idea in the framework of finite element method. Our algorithm consists of applying the DWR technique locally in each time interval In := (tn−1, tn], thus, we control the local or truncation error for a functional of the solution J(u). That means that we can define a self-sufficient criterium that ...

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: Journal of Numerical Mathematics

سال: 2019

ISSN: 1570-2820,1569-3953

DOI: 10.1515/jnma-2017-0103