The Python implementation of finite element discretisation
A mixed finite element discretisation of thin-plate splines
... mixed finite element formulation based on the ideas behind the mortar finite element ...of finite elements not the number of data ...
17
Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem
... cost-optimal implementation, we further simplified the block bordered diagonal preconditioner P BBD by lumping certain block matrices and using AMG for the approximate solution of a sparse Schur complement ...
21
Statistical properties of an enstrophy conserving finite element discretisation for the stochastic quasi-geostrophic equation
... first discretisation to this ...conforming finite element discretisation for the stochastic QG equation, showing that it conserves total PV and ...new discretisation, we then study its ...
13
Adaptivity in bayesian inverse finite element problems: learning and simultaneous control of discretisation and sampling errors
... probabilistic finite-element (FE) simulations and the field of FE-based Bayesian ...a finite subset of quantities of interest (QoI) such as a combination of latent uncertain parameters and/or ...
24
On the Finite Element Implementation of Functionally Graded Materials.
... numerical implementation of functionally graded properties in the context of the finite element ...the element level by means of the two most commonly used schemes: (i) nodal based gradation, ...
14
We present some example applications of a new mixed finite element discretisation of the thin plate spline method
... (Received 1 March 2015; revised 26 November 2015) Abstract The thin plate spline method is a widely used data fitting technique which has the ability to smooth noisy data. We present some example applications of a new ...
18
Implementation of the SPH Procedure Within the Moose Finite Element Framework
... CHAPTER 5 CONCLUSION 5.1 Synthesis of the Work The Superhomogénéisation (SPH) method was successfully implemented within the MAM- MOTH application at Idaho National Laboratory. Using the neutron diffusion equation as ...
81
Finite element implementation of a peridynamic pitting corrosion damage model
... MI ( , ) M d MI j , MI i , , j i j j C x t f C x t C x t x x V (23) where M is the number of family members of particle x i . Concerning the time integration, implicit time integration scheme has ...
26
Implementation of peridynamic beam and plate formulations in finite element framework
... present finite element implementation of peridynamic Timoshenko and Mindlin plate ...classical finite element solutions in bending and buckling ...and finite element ...
15
Finite Element Implementation of Advanced Constitutive Model Emphasizing on Ratcheting
... is nearly zero, accurate simulation for the ratcheting can be only achieved by using more sub-steps, this difference is caused by the introduction of r ( k ) and Q which are variable with the evolution of cyclic ...
10
Concrete thermal transient creep implementation in a Finite Element software
... CONCLUSIONS A new model for TTC was presented, focusing on moderately high temperature and multiaxial loadings. In this model the amplitude of TTC depends, in addition to temperatures, not only on the stress value but ...
9
Implementation of peridynamic beam and plate formulations in finite element framework
... · Finite element 1 Introduction Peridynamic (PD) theory was introduced by Silling [33] to overcome limitations of Cauchy’s classical contin- uum mechanics (CCM) formulation for certain problems and ...
16
Extended modelling of dislocation transport-formulation and finite element implementation
... The resulting equations are non-linear transient PDEs. They are numerically solved by temporal and spatial discretisation and by adopting an incremental-iterative solution procedure. We develop a fully implicit ...
18
Finite element implementation of a peridynamic pitting corrosion damage model
... MI ( , ) M d MI j , MI i , , j i j j C x t f C x t C x t x x V (23) where M is the number of family members of particle x i . Concerning the time integration, implicit time integration scheme has ...
27
Parallel algorithms and efficient implementation techniques for finite element approximations
... The benchmark consists of measuring the CPU time needed for the assembly of the matrix of linear system of equations using the multi-threaded implementation. We examine two prob- lems types, a 3D Laplacian problem ...
152
Vibration analysis of a thin moving web and its finite element implementation
... t ranslat ional velocity on the natural frequencies and modes of an axially moving beam between fixed ends were investigated by Simpson [5] using the Euler beam theory. Wickert and Mote [r] ...
112
Implementation of the full viscoresistive magnetohydrodynamic equations in a nonlinear finite element code
... a finite element discretization of the full MHD ...correct implementation of the momentum and induction equation, the hyperdi ffusive terms, and the accuracy with which highly anisotropic diffusion ...
27
Implementation of Nonlinear Finite Element Using Object–Oriented Design Patterns
... in finite element method for the first time, numerous approaches have been ...OO finite element program is affected by a number of factors, including software requirements, language features, ...
20
Finite Element Analysis
... 4.2 NON-LINEAR ANALYSIS The preceding section has dealt with the general problem of the FE discretisation process for an arbitrary linear system. Thus, linearity was assumed to apply at the three levels of statics ...
376
SPICE implementation of a finite element method based model for bipolar power semiconductors
... practical implementation, in SPICE circuit simulator, of a Finite Element Method (FEM) based model developed for Bipolar Power Semiconductor (BPS) ...
11