Multiple isoparametric finite element method for nonhomogeneous media
نویسندگان
چکیده
منابع مشابه
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 کاملAn 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 کاملL2-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 کاملA Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types
This paper presents an efficient multiscale stochastic framework for uncertainty quantification in modeling of flow through porous media with multiple rock types. The governing equations are based on Darcy’s law with nonstationary stochastic permeability represented as a sum of local Karhunen-Loève expansions. The approximation uses stochastic collocation on either a tensor product or a sparse ...
متن کاملMaximum 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 کاملذخیره 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: Mechanics Research Communications
سال: 2000
ISSN: 0093-6413
DOI: 10.1016/s0093-6413(00)00073-2