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A coupling technique for non-matching finite element meshes
(Elsevier B.V., 2015-06-15)
This paper presents a novel technique for coupling non-matching finite element meshes, based on the use of special finite elements termed coupling finite elements (CFEs), which share nodes with non-matching meshes. The ...
Analysis of the Finite Element Method for the Laplace–Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes
(Springer New York LLC, 2017)
We derive error estimates for the piecewise linear finite element approximation of the Laplace–Beltrami operator on a bounded, orientable, (Formula presented.), surface without boundary on general shape regular meshes. As ...
On the use of finite elements with a high aspect ratio for modeling cracks in quasi-brittle materials
(2016-03-01)
A new technique for modeling cracks in quasi-brittle materials based on the use of interface solid finite elements is presented. This strategy named mesh fragmentation technique consists in introducing sets of standard ...
On Convex Functions and the Finite Element Method
(Society for Industrial and Applied Mathematics, 2009-12)
Many problems of theoretical and practical interest involve finding a convex or concave function.For instance, optimization problems such as finding the projection on the convex functions in $H^k(Omega)$, or some problems ...
A coupling technique for non-matching finite element meshes
(Elsevier B.V., 2015)
A new discrete fracture approach based on the use of coupling finite elements for modeling fluid transport in naturally fractured porous media
(2021-12-01)
The presence of natural fractures in a porous medium strongly influences the fluid flow path. The complex geometric characteristics of the fracture network create preferential channels that change the permeability of the ...
Supercloseness on graded meshes for Q1 finite element approximation of a reaction–diffusion equation
(Elsevier Science, 2013-04)
In this paper we analyze the standard piece-wise bilinear finite element approximation of a model reaction–diffusion problem. We prove supercloseness results when appropriate graded meshes are used. The meshes are those ...
3D concurrent multiscale model for crack propagation in concrete
(2020-04-01)
A new approach for concurrent multiscale modeling of three-dimensional crack propagation in concrete is proposed. A macroscopic model with homogenized elastic parameters is adopted in the regions where the material behaves ...