The extended finite element method (XFEM), is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method...
5 KB (446 words) - 06:51, 27 January 2022
The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...
58 KB (7,610 words) - 07:17, 8 August 2024
extended into the Extended Discrete Element Method taking heat transfer, chemical reaction and coupling to CFD and FEM into account. Discrete element...
24 KB (2,825 words) - 07:38, 28 April 2024
often used in structural analysis Trefftz method Finite element updating Extended finite element method — puts functions tailored to the problem in...
70 KB (8,336 words) - 05:14, 24 June 2024
Partial differential equation (redirect from Energy method)
Meshfree methods include the generalized finite element method (GFEM), extended finite element method (XFEM), spectral finite element method (SFEM), meshfree...
49 KB (6,849 words) - 16:29, 8 July 2024
of an element may be computed by using the extended Euclidean algorithm (see Extended Euclidean algorithm § Modular integers). Let F be a finite field...
45 KB (6,162 words) - 13:35, 7 August 2024
Finite-difference time-domain (FDTD) or Yee's method (named after the Chinese American applied mathematician Kane S. Yee, born 1934) is a numerical analysis...
63 KB (5,629 words) - 20:34, 27 June 2024
Computational fluid dynamics (redirect from Vortex method)
Discrete element method Finite element method Finite volume method for unsteady flow Fluid animation Immersed boundary method Lattice Boltzmann methods List...
67 KB (8,530 words) - 12:49, 19 August 2024
Computational electromagnetics (redirect from Finite integration technique)
modeled by finite element methods); matrix products (when using transfer matrix methods); calculating numerical integrals (when using the method of moments);...
37 KB (4,764 words) - 09:46, 4 June 2024
Gordon, G. (1976). "Very simple method to find the minimum polynomial of an arbitrary nonzero element of a finite field". Electronics Letters. 12 (25):...
24 KB (2,779 words) - 07:37, 25 June 2024
mechanics and was known for development of methods like element-free Galerkin method and the Extended finite element method. Belytschko received his B.S. in Engineering...
6 KB (334 words) - 23:56, 25 August 2023
method is the most common implementation of the finite element method (FEM). In applying the method, the system must be modeled as a set of simpler,...
15 KB (2,565 words) - 14:30, 28 April 2021
Goma (software) (category Finite element software)
for solution on a digital computer with the finite element method in space and the finite difference method in time. The resulting nonlinear, time-dependent...
5 KB (655 words) - 15:50, 7 December 2023
Extended periodic table Element 119 (Uue, marked here) in period 8 (row 8) marks the start of theorisations. An extended periodic table theorizes about...
148 KB (15,125 words) - 21:17, 22 August 2024
In applied mathematics, the name finite pointset method is a general approach for the numerical solution of problems in continuum mechanics, such as the...
15 KB (1,709 words) - 13:25, 29 May 2024
the velocity field. Numerical methods such as the finite difference method, finite-volume method, and finite element method were originally defined on meshes...
34 KB (4,376 words) - 03:17, 29 February 2024
OOFEM (category Finite element software)
the extended finite-element method. Engineering and Computational Mechanics, 163(EM4):271--278, 2010. D. Rypl and B. Patzák: From the finite element analysis...
4 KB (389 words) - 12:43, 11 January 2023
polynomial extended Euclidean algorithm allows one to compute the multiplicative inverse in algebraic field extensions and, in particular in finite fields...
28 KB (4,452 words) - 21:55, 14 August 2024
A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of...
41 KB (4,540 words) - 20:01, 16 August 2024
Euler method in calculating the re-entry of astronaut John Glenn from Earth orbit. Crank–Nicolson method Gradient descent similarly uses finite steps...
27 KB (4,955 words) - 07:14, 19 July 2024
conditions. This is done by using discrete meshes as in finite difference and finite element methods, often for the surface. The solutions are represented...
32 KB (3,709 words) - 02:27, 3 May 2024
ISSN 1432-0924. Wriggers, P.; Schröder, J.; Schwarz, A. (2013-03-30). "A finite element method for contact using a third medium". Computational Mechanics. 52 (4):...
4 KB (512 words) - 14:40, 14 August 2024
Isogeometric analysis (category Finite element method)
a computational approach that offers the possibility of integrating finite element analysis (FEA) into conventional NURBS-based CAD design tools. Currently...
13 KB (2,344 words) - 18:04, 18 April 2024
complicated than the finite element method. Another advantage is it works well on multi variable problems. The finite element method is complicated when...
13 KB (1,964 words) - 20:16, 19 May 2024
Fracture (section The finite element method)
numerical methods are finite element and boundary integral equation methods. Other methods include stress and displacement matching, element crack advance...
25 KB (3,136 words) - 19:13, 3 February 2024
Discrete Laplace operator (category Finite differences)
Approximations of the Laplacian, obtained by the finite-difference method or by the finite-element method, can also be called discrete Laplacians. For example...
34 KB (5,671 words) - 22:52, 15 August 2024
Sequence (redirect from Finite sequence)
can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6, ...). The position of an element in a sequence...
39 KB (6,156 words) - 04:01, 4 August 2024
in this case a nonconforming method for the approximation of (2), which includes the nonconforming finite element method. Note that the reciprocal is...
16 KB (2,302 words) - 23:37, 30 January 2023
over the domain-type numerical techniques such as the finite element and finite volume methods on the solution of infinite domain, thin-walled structures...
8 KB (1,175 words) - 02:11, 23 May 2022
Discrete exterior calculus (category Finite element method)
spaces including graphs, finite element meshes, and lately also general polygonal meshes (non-flat and non-convex). DEC methods have proved to be very powerful...
5 KB (663 words) - 04:58, 5 February 2024