Adaptive solutions of an augmented mixed finite element scheme for linear elasticity
نویسنده
چکیده
Through several numerical experiments, we explore the theoretical properties of a residual based a posteriori error estimator of an augmented mixed method applied to linear elasticity problem in the plane. More precisely, we show numerical evidence confirming the theoretical properties of the estimator, and ilustrating the capability of the corresponding adaptive algorithm to localize the singularities and the large stress regions of the solution.
منابع مشابه
A Residual Based a Posteriori Error Estimator for an Augmented Mixed Finite Element Method in Linear Elasticity
In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable and efficient a posteriori error estimator for the case of pure Dirichlet boundary conditions. In addition, several numerical experiments confirming the theoretical properties of the esti...
متن کاملA posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions
We consider the augmented mixed finite element method introduced in [7] for the equations of plane linear elasticity with mixed boundary conditions. We develop an a posteriori error analysis based on the Ritz projection of the error and obtain an a posteriori error estimator that is reliable and efficient, but that involves a non-local term. Then, introducing an auxiliary function, we derive fu...
متن کاملLow cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
We consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to implement than the ones available in the literature. In the case of homogeneous Dirichlet boundary conditions, the new a posteriori error estimator is reliable and locally efficient, whereas for non-homogeneous Dirichlet boundary c...
متن کاملAdaptive Unstructured Grid Generation Scheme for Solution of the Heat Equation
An adaptive unstructured grid generation scheme is introduced to use finite volume (FV) and finite element (FE) formulation to solve the heat equation with singular boundary conditions. Regular grids could not acheive accurate solution to this problem. The grid generation scheme uses an optimal time complexity frontal method for the automatic generation and delaunay triangulation of the grid po...
متن کاملNon Uniform Rational B Spline (NURBS) Based Non-Linear Analysis of Straight Beams with Mixed Formulations
Displacement finite element models of various beam theories have been developed traditionally using conventional finite element basis functions (i.e., cubic Hermite, equi-spaced Lagrange interpolation functions, or spectral/hp Legendre functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, tota...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006