Multiscale short-circuiting mechanisms in multiple fracture enhanced geothermal systems

B Gee, R Gracie, MB Dusseault - Geothermics, 2021 - Elsevier
Heat extraction from an enhanced geothermal system (EGS) is a complex coupled thermo-
hydro-mechanical process. The viability of an EGS is compromised by short-circuiting, a …

Comparison of fully-coupled and sequential solution methodologies for enhanced geothermal systems

B Gee, R Gracie - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
The simulation of enhanced geothermal systems (EGS) requires finding the solution to a
highly coupled nonlinear set of partial differential equations. Verification of EGS modelling …

Experimental validation of high-order time integration for non-linear heat transfer problems

KJ Quint, S Hartmann, S Rothe, N Saba… - Computational …, 2011 - Springer
An accurate prediction of the temperature distribution in space and time plays an important
role in many industrial applications, in particular when phase transformations are involved …

A novel temporal finite element method to solve static viscoelastic problems

F Chen, Y He, J Li, X Wang, H Yang - Applied Mathematical Modelling, 2024 - Elsevier
A novel temporal finite element method is presented to solve static viscoelastic problems,
which is more flexible and appropriate to describe temporal variation of displacement than …

Maximum principle for the finite element solution of time‐dependent anisotropic diffusion problems

X Li, W Huang - Numerical Methods for Partial Differential …, 2013 - Wiley Online Library
Preservation of the maximum principle is studied for the combination of the linear finite
element method in space and the θ‐method in time for solving time‐dependent anisotropic …

[HTML][HTML] Time discretization in the solution of parabolic PDEs with ANNs

F Calabrò, S Cuomo, D di Serafino, G Izzo… - Applied Mathematics and …, 2023 - Elsevier
We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs)
Neural Networks. An Artificial Neural Network (ANN) is an interconnected group of nodes …

Continuous and discrete parabolic operators and their qualitative properties

I Faragó, R Horváth - IMA journal of numerical analysis, 2009 - academic.oup.com
The basic requirement of numerical methods is convergence. However, from the practical
point of view, it is generally not sufficient to construct convergent numerical methods for the …

Discrete maximum principles for FE solutions of nonstationary diffusion‐reaction problems with mixed boundary conditions

I Faragó, R Horváth, S Korotov - Numerical Methods for Partial …, 2011 - Wiley Online Library
In this article, we derive and discuss sufficient conditions for providing validity of the discrete
maximum principle for nonstationary diffusion‐reaction problems with mixed boundary …

Discrete maximum principle for interior penalty discontinuous Galerkin methods

TL Horváth, ME Mincsovics - Central European Journal of Mathematics, 2013 - Springer
A class of linear elliptic operators has an important qualitative property, the so-called
maximum principle. In this paper we investigate how this property can be preserved on the …

Discrete maximum principle for parabolic problems solved by prismatic finite elements

T Vejchodský, S Korotov, A Hannukainen - Mathematics and Computers in …, 2010 - Elsevier
In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion–
reaction problem solved by means of prismatic finite elements and θ-method. We derive …