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searching for Weak formulation 11 found (29 total)

Smoothed finite element method (2,421 words) [view diff] no match in snippet view article find links to article

Smoothed finite element methods (S-FEM) are a particular class of numerical simulation algorithms for the simulation of physical phenomena. It was developed

Palais–Smale compactness condition (434 words) [view diff] no match in snippet view article find links to article

The Palais–Smale compactness condition, named after Richard Palais and Stephen Smale, is a hypothesis for some theorems of the calculus of variations.

Fundamental theorem of linear programming (599 words) [view diff] exact match in snippet view article find links to article

optimization, the fundamental theorem of linear programming states, in a weak formulation, that the maxima and minima of a linear function over a convex polygonal

Helmholtz decomposition (7,266 words) [view diff] no match in snippet view article find links to article

In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that certain differentiable vector

Free boundary problem (1,642 words) [view diff] exact match in snippet view article find links to article

{\displaystyle u} have one derivative, in much the same way as the weak formulation of elliptic boundary value problems. In the theory of elliptic partial

Mach's principle (3,126 words) [view diff] exact match in snippet view article find links to article

being considered more strongly Machian than others.: 530 A relatively weak formulation is the assertion that the motion of matter in one place should affect

Hilbert space (17,489 words) [view diff] exact match in snippet view article find links to article

the class of Sobolev functions, which is a Hilbert space. A suitable weak formulation reduces to a geometrical problem, the analytic problem of finding a

John Forbes Nash Jr. (7,389 words) [view diff] exact match in snippet view article find links to article

based primarily on the judicious choice of test functions in the weak formulation of partial differential equations, is in strong contrast to Nash's

Finite pointset method (1,795 words) [view diff] exact match in snippet view article find links to article

of general finite differences also means that FPM is not based on a weak formulation like Galerkin's approach. Rather, FPM is a strong formulation which

Computational fluid dynamics (8,648 words) [view diff] exact match in snippet view article find links to article

mathematical problem (the partial differential equation) to be cast in a weak formulation. This is typically done by multiplying the differential equation by

Navier–Stokes equations (15,470 words) [view diff] exact match in snippet view article find links to article

_{\Gamma _{N}}\mathbf {h} \cdot \mathbf {v} .} Having this in mind, the weak formulation of the Navier–Stokes equations is expressed as: find u ∈ L 2 ( R +