scholarly journals A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models

2006 ◽  
Vol 65 (11) ◽  
pp. 1749-1772 ◽  
Author(s):  
F. Collin ◽  
R. Chambon ◽  
R. Charlier
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Second Gradient ◽  
Mechanical Modelling ◽  
Second Gradient Models ◽  
Gradient Models ◽  
Geotechnical Problems ◽  
Element Method

scholarly journals INFORMATIZATION OF CONSTRUCTION MANAGEMENT AS A BASIS FOR PREVENTING MAN-MADE ACCIDENTS

2021 ◽  
Vol 4 (4) ◽  
pp. 11-31
Author(s):  
S. Koryagina
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Calculation Results ◽  
Definition Of ◽  
Deep Pits ◽  
Geotechnical Problems ◽  
Seismic Impacts ◽  
Base Structure ◽  
Element Method

the article presents the principles and algorithms of the finite element method in solving geotechnical prob-lems taking into account seismic impacts for determining the stress-strain state of structures and slope stabil-ity, implemented in the Midas GTS NX software package. GTS NX allows you to perform calculations of various types of geotechnical problems and solve complex geotechnical problems in a single software envi-ronment. GTS NX covers the entire range of engineering and geotechnical projects, including calculations of the "base-structure" system, deep pits with various mounting options, tunnels of complex shape, consolida-tion and filtration calculations, as well as calculations for dynamic actions and stability calculations. At the same time, all types of calculations in GTS NX can be performed both in 2D and in 3D. The author does not claim to be the author of the finite element method, but he cannot do without pointing out the basic equa-tions, as this affects the definition of the boundaries of use, the formulation of algorithms for constructing calculation schemes and the analysis of calculation results.

A C 0 conforming dg finite element method for biharmonic equations on triangle/tetrahedron

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Xiu Ye ◽  
Shangyou Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Optimal Order ◽  
Biharmonic Equations ◽  
Order Error ◽  
Simple Formulation ◽  
Piecewise Polynomials ◽  
Second Gradient ◽  
Strong Gradient ◽  
Element Method

Abstract A C 0 conforming discontinuous Galerkin (CDG) finite element method is introduced for solving the biharmonic equation. The first strong gradient of C 0 finite element functions is a vector of discontinuous piecewise polynomials. The second gradient is the weak gradient of discontinuous piecewise polynomials. This method, by its name, uses nonconforming (non C 1) approximations and keeps simple formulation of conforming finite element methods without any stabilizers. Optimal order error estimates in both a discrete H 2 norm and the L 2 norm are established for the corresponding finite element solutions. Numerical results are presented to confirm the theory of convergence.

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