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In a weak formulation, equations or conditions are no longer required to hold absolutely (and this is not even well defined) and has instead weak solutions only with respect to certain "test vectors" or "test functions". In a strong formulation, the solution space is constructed such that these equations or conditions are already fulfilled.
Weakened weak form (or W2 form) [1] is used in the formulation of general numerical methods based on meshfree methods and/or finite element method settings. These numerical methods are applicable to solid mechanics as well as fluid dynamics problems.
This weak form of "global" conservation is really not a conservation law because it is not Lorentz invariant, so phenomena like the above do not occur in nature. [ 8 ] [ 9 ] Due to special relativity , if the appearance of the energy at A and disappearance of the energy at B are simultaneous in one inertial reference frame , they will not be ...
Weak form and strong form may refer to: Weaker and stronger versions of a hypothesis, theorem or physical law; Weak formulations and strong formulations of differential equations in mathematics; Differing pronunciations of words depending on emphasis; see Weak and strong forms in English; Weak and strong pronouns
In order to find the weak form of the Navier–Stokes equations, firstly, consider the momentum equation [20] + + = multiply it for a test function , defined in a suitable space , and integrate both members with respect to the domain : [20] + + = Counter-integrating by parts the diffusive and the pressure terms and by using the Gauss' theorem ...
The dominant energy condition stipulates that, in addition to the weak energy condition holding true, for every future-pointing causal vector field (either timelike or null) , the vector field must be a future-pointing causal vector. That is, mass–energy can never be observed to be flowing faster than light.
Energy transformation, relating to energy's changes from one form to another. Energy (signal processing), the inner product of a signal in the time domain; Energy density spectrum, relating to the distribution of signal energy over frequencies. Potential energy, the form of energy that is due to position of an object; Kinetic energy, the form ...
Pages in category "Forms of energy" The following 14 pages are in this category, out of 14 total. This list may not reflect recent changes. A. Atomic energy; B.