The extended finite element method (XFEM), is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method...

The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

extended into the Extended Discrete Element Method taking heat transfer, chemical reaction and coupling to CFD and FEM into account. Discrete element...

often used in structural analysis Trefftz method Finite element updating Extended finite element method — puts functions tailored to the problem in...

Meshfree methods include the generalized finite element method (GFEM), extended finite element method (XFEM), spectral finite element method (SFEM), meshfree...

of an element may be computed by using the extended Euclidean algorithm (see Extended Euclidean algorithm § Modular integers). Let F be a finite field...

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...

Discrete element method Finite element method Finite volume method for unsteady flow Fluid animation Immersed boundary method Lattice Boltzmann methods List...

modeled by finite element methods); matrix products (when using transfer matrix methods); calculating numerical integrals (when using the method of moments);...

Gordon, G. (1976). "Very simple method to find the minimum polynomial of an arbitrary nonzero element of a finite field". Electronics Letters. 12 (25):...

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...

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,...

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...

Extended periodic table Element 119 (Uue, marked here) in period 8 (row 8) marks the start of theorisations. An extended periodic table theorizes about...

In applied mathematics, the name finite pointset method is a general approach for the numerical solution of problems in continuum mechanics, such as the...

the velocity field. Numerical methods such as the finite difference method, finite-volume method, and finite element method were originally defined on meshes...

the extended finite-element method. Engineering and Computational Mechanics, 163(EM4):271--278, 2010. D. Rypl and B. Patzák: From the finite element analysis...

polynomial extended Euclidean algorithm allows one to compute the multiplicative inverse in algebraic field extensions and, in particular in finite fields...

A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of...

Euler method in calculating the re-entry of astronaut John Glenn from Earth orbit. Crank–Nicolson method Gradient descent similarly uses finite steps...

conditions. This is done by using discrete meshes as in finite difference and finite element methods, often for the surface. The solutions are represented...

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):...

a computational approach that offers the possibility of integrating finite element analysis (FEA) into conventional NURBS-based CAD design tools. Currently...

complicated than the finite element method. Another advantage is it works well on multi variable problems. The finite element method is complicated when...

numerical methods are finite element and boundary integral equation methods. Other methods include stress and displacement matching, element crack advance...

Approximations of the Laplacian, obtained by the finite-difference method or by the finite-element method, can also be called discrete Laplacians. For example...

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...

in this case a nonconforming method for the approximation of (2), which includes the nonconforming finite element method. Note that the reciprocal is...

over the domain-type numerical techniques such as the finite element and finite volume methods on the solution of infinite domain, thin-walled structures...

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...