An extended P1-nonconforming finite element method on general polytopal partitions

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 Multilevel Preconditioner for the Mortar Method for Nonconforming P1 Finite Element

A multilevel preconditioner based on the abstract framework of the auxiliary space method, is developed for the mortar method for the nonconforming P1 finite element or the lowest order Crouzeix-Raviart finite element on nonmatching grids. It is shown that the proposed preconditioner is quasi-optimal in the sense that the condition number of the preconditioned system is independent of the mesh ...

متن کامل

P1-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals

The P1-nonconforming finite element is introduced for arbitrary triangulations into quadrilaterals and triangles of multiple connected Lipschitz domains. An explicit a priori analysis for the combination of the Park–Sheen and the Crouzeix–Raviart nonconforming finite element methods is given for second-order elliptic PDEs with inhomogeneous Dirichlet boundary conditions.

متن کامل

An observation on Korn's inequality for nonconforming finite element methods

By utilizing a simple observation on traces of rigid motions we are able to strengthen a result of Brenner [1] on Korn’s inequality for nonconforming finite element methods. The approach here is tightly connected to the theory developed in [1]. Our motivation for the analysis was the desire to show that a robust Darcy–Stokes element satisfies Korn’s inequality, and to achieve this the stronger ...

متن کامل

The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions

The subject of this work is the analysis and implementation of stabilized finite element methods on anisotropic meshes. We develop the anisotropic a priori error analysis of the residual-free-bubble (RFB) method applied to elliptic convection-dominated convection-diffusion problems in two dimensions, with finite element spaces of type Qk, k ≥ 1. In the case of P1 finite elements, relying on the...

متن کامل

A Nonconforming Generalized Finite Element Method for Transmission Problems

We obtain “quasi-optimal rates of convergence” for transmission (interface) problems on domains with smooth, curved boundaries using a non-conforming Generalized Finite Element Method (GFEM). More precisely, we study the strongly elliptic problem Pu := − ∑ ∂j(A ∂iu) = f in a smooth bounded domain Ω with Dirichlet boundary conditions. The coefficients Aij are piecewise smooth, possibly with jump...

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 Computational and Applied Mathematics

سال: 2021

ISSN: 0377-0427

DOI: 10.1016/j.cam.2020.113021