P1b-P1 element ¶ The velocity is P1 Lagrange element enriched by a cubic bubble function and the pressure is P1 Lagrange element. This pair is also known as MINI element. The bubble function is …

Jun 1, 2009 · Bubble functions are finite element modes that are located entirely within a single element and are zero on boundaries of the element, but are nonzero at the other points.

Apr 9, 2015 · In the finite element method and more precisely the MINI element method in two dimensions, they use a function called the "bubble function" which is related to a triangle K of the …

To motivate the construction of the bubble transform, let us recall that the construc-tion of projection operators is a key tool for deriving stability results and convergence estimates for various finite …

Jun 18, 2023 · We propose a new space-time finite element method, which is stabilized by introducing classical bubble spaces, see [22–24]. The bubble basis functions vanish on the edges of the mesh …

Function values are continuous. This implementation is used to compute the examples below and verify other implementations.

se lines will consider bubble functions that do not necessarily vanish along element edges. Such edge bubbles might also prove useful for stabilizing penalty methods widely used

An edge bubble function in the context of finite element methods (FEM) refers to a supplementary enrichment function defined within an individual element, vanishing on its boundaries, and designed …

Jun 18, 2023 · We develop a new class of the multiscale finite element method (MsFEM) to solve the convection-diffusion problems. In the proposed framework, we decompose the solution function …

From the Nastran manual, it is apparent that Nastran employs a special technique, bubble functions, to work with the reduced elements. This technique makes it possible produce reliable results and …