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Numerical method
A discrete element method (DEM), also called a distinct element method, is any of a family of numerical methods for computing the motion and effect of
Discrete_element_method
Granular material interaction simulation technique
The extended discrete element method (XDEM) is a numerical technique that extends the dynamics of granular material or particles as described through
Extended discrete element method
Extended_discrete_element_method
Numerical method for solving physical or engineering problems
Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical
Finite_element_method
operating conditions. There are two methods to model particle breakage: population balance model and discrete element method. Population balance model (PBM)
Modelling of particle breakage
Modelling_of_particle_breakage
under extreme loads. AEM combines features of Finite element method and Discrete element method simulation with its own solver capabilities for the generation
Extreme Loading for Structures
Extreme_Loading_for_Structures
Method in computational solid mechanics based on the discrete concept
both of classical cellular automaton and discrete element methods. One important advantage of the MCA method is that it permits direct simulation of material
Movable_cellular_automaton
(DDA) is a type of discrete element method (DEM) originally proposed by Shi in 1988. DDA is somewhat similar to the finite element method for solving stress-displacement
Discontinuous deformation analysis
Discontinuous_deformation_analysis
The CFD-DEM model, or Computational Fluid Dynamics / Discrete Element Method model, is a process used to model or simulate systems combining fluids with
CFD-DEM
Cold regions surrounding impact craters
Modeling Granular Waves in Surface Regolith Using Soft Sphere Discrete Element Method (PhD thesis). University of Maryland. Retrieved 16 April 2026.
Cold_spot_(astronomy)
Analysis and solving of problems that involve fluid flows
Computational magnetohydrodynamics Discrete element method Fictitious domain method Finite element method Finite volume method for unsteady flow Fluid animation
Computational_fluid_dynamics
Class of numerical methods in scientific computing
dynamics (CFD) over molecular dynamics (MD) to discrete element methods. One of the earliest particle methods is smoothed particle hydrodynamics, presented
Particle_method
Method of solving linear partial differential equations
This method is known as discrete complex image method. The boundary element method is often more efficient than other methods, including finite elements
Boundary_element_method
Janeček method (voting system) Discrete element method (numerical analysis) Domain decomposition method (numerical analysis) Epidemiological methods Euler's
List of mathematics-based methods
List_of_mathematics-based_methods
Technique to solve geological problems by computational simulation
mesh. These discrete equations can then be solved in each element numerically. The discrete element method uses another approach, this method reassembling
Numerical_modeling_(geology)
applied element method (AEM) is a numerical analysis used in predicting the continuum and discrete behavior of structures. The modeling method in AEM adopts
Applied_element_method
problems that would be numerically ill-posed if discretized by using the irreducible finite element method; one example of such problems is to compute the
Mixed_finite_element_method
third stage is breakage where the particles breaks into fragments. Discrete element method (DEM) is an explicit numerical model capable of tracking the motion
Compaction_simulation
Discrete (i.e., incremental) version of infinitesimal calculus
references. Discrete element method Divided differences Finite difference coefficient Finite difference method Finite element method Finite volume method Numerical
Discrete_calculus
Numerical integration scheme for Hamiltonian systems
They are widely used in nonlinear dynamics, molecular dynamics, discrete element methods, accelerator physics, plasma physics, quantum physics, and celestial
Symplectic_integrator
It is similar in nature to the boundary element method (BEM), as it does not rely upon the discretization of volumes or areas in the modeled system;
Analytic_element_method
Formulation of the finite element method
equations, a topic in mathematics, the spectral element method (SEM) is a formulation of the finite element method (FEM) that uses high-degree piecewise polynomials
Spectral_element_method
Class of numerical techniques
common approaches to the numerical solution of PDE, along with finite element methods. For a n-times differentiable function, by Taylor's theorem the Taylor
Finite_difference_method
Conversion of continuous functions into discrete counterparts
is true of discretization error and quantization error. Mathematical methods relating to discretization include the Euler–Maruyama method and the zero-order
Discretization
British engineer
Consulting Group. Together with Otto D. L. Strack, he introduced the Discrete Element Method. He studied for a PhD in Rock Mechanics at Imperial College London
Peter_A._Cundall
Technique in computational fluid dynamics
not negligible, which require more advanced numerical methods such as the discrete element method (DEM). Examples of these cases include industrial mixing
Lagrangian_particle_tracking
Family of implicit and explicit iterative methods
include the Euler method, used in discretization for the approximate solutions of differential equations. These methods were developed around 1900 by the
Runge–Kutta_methods
Numerical method used in structural mechanics
The finite element method (FEM) is a powerful technique originally developed for the numerical solution of complex problems in structural mechanics, and
Finite element method in structural mechanics
Finite_element_method_in_structural_mechanics
Model suitable for modeling or simulation
typical CFD-DEM model, the phase motion of discrete solids or particles is obtained by the Discrete Element Method (DEM) which applies Newton's laws of motion
CFD-DEM_model
Branch of numerical analysis
1999]. Similar to the finite difference method or finite element method, values are calculated at discrete places on a meshed geometry. "Finite volume"
Numerical methods for partial differential equations
Numerical_methods_for_partial_differential_equations
data) Properties of discretization schemes — finite volume methods can be conservative, bounded, etc. Discrete element method — a method in which the elements
List of numerical analysis topics
List_of_numerical_analysis_topics
Method for analyzing stability of slopes of soil or rock
Discontinuity layout optimization Discrete element method Finite difference method Finite element limit analysis Finite element method Mohr–Coulomb theory PLAXIS
Slope_stability_analysis
Point where two or more curves, lines, or edges meet
(vol. 3). Jing, Lanru; Stephansson, Ove (2007). Fundamentals of Discrete Element Methods for Rock Engineering: Theory and Applications. Elsevier Science
Vertex_(geometry)
Graphics structure
simulations by high-performance ray tracing discrete element method for arbitrarily-shaped particles". Computer Methods in Applied Mechanics and Engineering
Bounding_volume_hierarchy
Topics referred to by the same term
common extension for USGS DEM files Discrete element method or discrete element modeling, a family of numerical methods for computing the motion of a large
DEM_(disambiguation)
Method for solving continuous operator problems (such as differential equations)
finite element method, the boundary element method for solving integral equations, Krylov subspace methods. Let us introduce Galerkin's method with an abstract
Galerkin_method
Model of the rheology of a granular flow
computationally faster alternative to the particle-position based Discrete Element Method (DEM). Dilatancy (granular material) Jop, Pierre; Forterre, Yoël;
Μ(I)_rheology
Device to move liquid or granular materials
Discrete Element Modeling". Powder Technology. Special Issue: Discrete Element Methods: The 4th International conference on Discrete Element Methods.
Screw_conveyor
Method for numerical differential equations
the affine function in the simplex. The mixed finite element method consists in defining two discrete spaces, one for the approximation of ∇ u ¯ {\displaystyle
Gradient discretisation method
Gradient_discretisation_method
Dimensionless number in particle technology
can be compared. This is especially useful in DEM simulations (Discrete Element Method) of granular materials where scaling of the size and stiffness
Cohesion_number
Problem of inverting exponentiation in groups
b^{k}\equiv a\!\!\!\!{\pmod {m}}} . Discrete logarithms are quickly computable in a few special cases, but no efficient method is known for computing them in
Discrete_logarithm
mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs, finite element meshes, and
Discrete_exterior_calculus
Method of hydrodynamics simulation
interacting particles i {\displaystyle i} and a {\displaystyle a} . The discrete element method, used for simulating granular materials, is related to SPH. Colagrossi
Smoothed-particle hydrodynamics
Smoothed-particle_hydrodynamics
Sand mold production line
Hattel (December 2016). "Simulating the DISAMATIC process using the discrete element method — a dynamical study of granular flow". Powder Technology. 303:
DISAMATIC
infinite element method is a numerical method for solving problems of engineering and mathematical physics. It is a modification of finite element method. The
Infinite_element_method
Stability of soil or rock slopes
(2009-10-09). "YADE-OPEN DEM: an open-source software using a discrete element method to simulate granular material". Engineering Computations. 26 (7):
Slope_stability
Class of numerical simulation algorithms
Smoothed finite element methods (S-FEM) are a particular class of numerical simulation algorithms for the simulation of physical phenomena. It was developed
Smoothed finite element method
Smoothed_finite_element_method
Method of solving integral equations
weighted sum. The continuous problem is broken into n {\displaystyle n} discrete intervals; quadrature or numerical integration determines the weights and
Nyström_method
Engineering software by Siemens
including: Fluid flow through porous media Multiphase flow Discrete element method Volume of fluid method Non-Newtonian fluid Rheology Turbulence Viscoelasticity
Simcenter_STAR-CCM+
Function in discrete mathematics
In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another
Discrete_Fourier_transform
Thermal engineering discipline concerning transfer of heat in physical systems
Doroodchi, E.; Moghtaderi, B. (2020). "Heat transfer modelling in Discrete Element Method (DEM)-based simulations of thermal processes: Theory and model
Heat_transfer
Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application
Finite element exterior calculus
Finite_element_exterior_calculus
Analog of the continuous Laplace operator
Laplacian, obtained by the finite-difference method or by the finite-element method, can also be called discrete Laplacians. For example, the Laplacian in
Discrete_Laplace_operator
analysis, mortar methods are discretization methods for partial differential equations, which use separate finite element discretization on nonoverlapping
Mortar_methods
Interval boundary element method is classical boundary element method with the interval parameters. Boundary element method is based on the following
Interval boundary element method
Interval_boundary_element_method
convection by the finite difference method Han, Houde; Wu, Xiaonan (2013). Artificial Boundary Method. Springer. Chapter 6: Discrete Artificial Boundary Conditions
Infinite_difference_method
Degree to which part of a structural element is displaced under a given load
load cases at discrete locations. Otherwise methods such as virtual work, direct integration, Castigliano's method, Macaulay's method or the direct stiffness
Deflection_(engineering)
founder of LSI Logic Corp.) Peter A. Cundall (rock engineer – Discrete Element Method) Brian Davies (engineer, developed the first medical robotic device
List of people associated with Imperial College London
List_of_people_associated_with_Imperial_College_London
testing, simulations by discrete element method or finite element method, and by analytical calculations. The discrete element method makes use of particle
Particle_damping
Study of discrete mathematical structures
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a one-to-one
Discrete_mathematics
Freeware/Trialware Computational fluid dynamics Finite-element analysis Finite element method in structural mechanics List of structural engineering software
List of computer-aided engineering software
List_of_computer-aided_engineering_software
Branch of physics
efficient than volume-discretization methods (finite element method, finite difference method, finite volume method). Boundary element formulations typically
Computational electromagnetics
Computational_electromagnetics
Physics simulation software package
Adaptive remeshing SPH (Smoothed particle hydrodynamics) DEM (Discrete element method) EFG (Element Free Galerkin) Radiation transport EM (Electromagnetism)
LS-DYNA
Approach to finding numerical solutions of ordinary differential equations
In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary
Euler_method
Structure built to intercept rockfall
specific numerical models, developed based on a finite element method or a discrete element method. These simulations tools may also be used to improve
Rockfall_barrier
Overview of and topical guide to discrete mathematics
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have
Outline of discrete mathematics
Outline_of_discrete_mathematics
Algorithm for solving the discrete logarithm problem
algorithm for computing the discrete logarithm or order of an element in a finite abelian group by Daniel Shanks. The discrete log problem is of fundamental
Baby-step_giant-step
Simplification of a physical system into a network of discrete components
The lumped-element model (also called lumped-parameter model, or lumped-component model) is a simplified representation of a physical system or circuit
Lumped-element_model
Methods in numerical analysis not requiring knowledge of neighboring points
the velocity field. Numerical methods such as the finite difference method, finite-volume method, and finite element method were originally defined on meshes
Meshfree_methods
discretization step proceeds by dividing the computational domain into elements of triangular or rectangular shape. The solution within each element is
Numerical methods in fluid mechanics
Numerical_methods_in_fluid_mechanics
This is a list of notable software packages that implement the finite element method for solving partial differential equations. This table is contributed
List of finite element software packages
List_of_finite_element_software_packages
Type of filter in signal processing
Nth-order discrete-time FIR filter lasts exactly N + 1 {\displaystyle N+1} samples (from first nonzero element through last nonzero element) before it
Finite_impulse_response
Discrete Fourier transform algorithm
A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT), or its inverse (IDFT), of a sequence. A Fourier transform
Fast_Fourier_transform
Method of solving differential equations
analysis, a multigrid method (MG method) is an algorithm for solving differential equations using a hierarchy of discretizations. They are an example of
Multigrid_method
Type of numerical method
primal method. Non-overlapping domain decomposition methods are also called iterative substructuring methods. Mortar methods are discretization methods for
Domain_decomposition_methods
Mathematical technique
In applied physics and engineering, temporal discretization is a mathematical technique for solving transient problems, such as flow problems. Transient
Temporal_discretization
Methods for solving differential equations
Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the
Discontinuous_Galerkin_method
Study of mathematical algorithms for optimization problems
of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfields: discrete optimization
Mathematical_optimization
American multinational information technology
packages. The following is a list of selected corporate acquisitions: Finite Element Software FEKO Monarch Portable Batch System Computational Grid Big Data
Altair_Engineering
Method of exchanging cryptographic keys
This increases the difficulty for an adversary attempting to compute the discrete logarithm and compromise the shared secret. These two values are chosen
Diffie–Hellman_key_exchange
Method in signal processing
overlap–save is the traditional name for an efficient way to evaluate the discrete convolution between a very long signal x [ n ] {\displaystyle x[n]} and
Overlap–save_method
Probabilistic algorithm for computing discrete logarithms
algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete logarithm in ( Z / q Z ) ∗ {\displaystyle (\mathbb {Z}
Index_calculus_algorithm
Method for representing and evaluating partial differential equations
volume methods can be compared and contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods
Finite_volume_method
Numerical method in computational electromagnetics
boundary conditions. This is done by using discrete meshes as in finite difference and finite element methods, often for the surface. The solutions are
Method of moments (electromagnetics)
Method_of_moments_(electromagnetics)
simulation software for discrete event, continuous, discrete rate and agent-based simulation. FEATool Multiphysics - finite element physics and PDE simulation
List of computer simulation software
List_of_computer_simulation_software
Mineral industry grinding mill
May 2013. C Jayasundara, R Yang, B Guo, A Yu and J Rubenstein, "Discrete element method – computational fluid dynamics modelling of flow behaviour in a
IsaMill
Environmental engineer and Professor
at the University of California, Berkeley, where she developed discrete element methods to model granular materials. After graduating she moved to University
Catherine_O'Sullivan
Methods for numerical approximations
first discretizing the equation, bringing it into a finite-dimensional subspace. This can be done by a finite element method, a finite difference method, or
Numerical_analysis
Methods used in combinatorics
something in a discrete context. Many combinatorial identities arise from double counting methods or the method of distinguished element. Generating functions
Combinatorial_principles
Wall intended to withstand lateral loads
forming, also known as climbing forming, is a method of construction whereby the walls are cast in discrete lifts. It is a stop-start process with day joints
Shear_wall
radiation Discrete Lorentzian quantum gravity Discrete dipole approximation Discrete dipole approximation codes Discrete element method Discrete optimized
Index_of_physics_articles_(D)
Mechanical constraint which prevents penetration between two bodies
Study of the deformation of solids that touch each other discrete element method – Numerical method Non-smooth mechanics – Modeling approach in mechanics
Unilateral_contact
Algorithm for shuffling a finite sequence
sequence, and continually determines the next element in the shuffled sequence by randomly drawing an element from the list until no elements remain. The
Fisher–Yates_shuffle
Transmission line-based electrical circuit
Distributed-element circuits are electrical circuits composed of lengths of transmission lines or other distributed components. These circuits perform
Distributed-element_circuit
Concept relating to waves and signals
chemical element, which only absorb and emit light at particular wavelengths. The technique of spectroscopy is based on this phenomenon. Discrete spectra
Spectrum_(physical_sciences)
aims to solve a discrete version of the continuum problem. Properties of the continuum problem commonly imitated by numerical methods are conservation
Mimesis_(mathematics)
mainly applied to design stabilized finite element methods in which stability of the standard Galerkin method is not ensured both in terms of singular perturbation
Variational_multiscale_method
among which are methods of lesioning or gene knockout, and tests of sufficiency, among which are methods of isolation or discrete stimulation of factors
Biological tests of necessity and sufficiency
Biological_tests_of_necessity_and_sufficiency
Computer simulations to discover and understand chemical properties
of software for molecular mechanics modeling Quantum chemistry Discrete element method Comparison of nucleic acid simulation software Molecule editor
Molecular_dynamics
(QSS) methods are a family of numerical integration solvers based on the idea of state quantization, dual to the traditional idea of time discretization. Unlike
Quantized state systems method
Quantized_state_systems_method
boundary element method; boundary-only discretization for homogeneous problems. The SBM shares all the advantages of the BEM over domain discretization methods
Singular_boundary_method
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DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
DISCRETE ELEMENT-METHOD
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