Abstract The Neilan P k P _k‐P k− 1 P _ k-1 divergence‐free finite element is stable on any
tetrahedral grid, where the piece‐wise P k P _k polynomial velocity is C 0 C^ 0 on the grid, C …

We add new inter-element variables to the BDM H (div) finite elements on triangular and
tetrahedral meshes for the Stokes equations. With the weak gradient, we enforce weakly the …

An optimal adaptive multiscale finite element method (AMsFEM) for numerical solutions of
flow problems modelled by the Oldroyd B model is developed. Complex flows experience …

Recently there has been increased interest in a special class of discretizations for
incompressible flows, which produce velocity approximations that are independent of how …

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We construct a modified rotated-Q 1 finite element, where we replace the P 2 bubbles of the
Rannacher–Turek rotated-Q 1 element by multi-piece linear polynomials. In 2D, we use {1 …

In this paper, we introduce an\(H ({\text {div}})\) finite element method on polygonal and
polyhedral meshes for solving the Stokes equations in the primary velocity–pressure …

Abstract The Bernardi–Raugel finite element is a bubble enriched P 1-P 0 finite element for
the Stokes equations, where three P 2 edge-bubbles and four P 3 face-bubbles are added to …

The continuous P 3 and discontinuous P 2 finite element pair is stable on subquadrilateral
triangular meshes for solving 2D stationary Stokes equations. By putting two diagonal lines …

In the conforming discontinuous Galerkin method, the standard bilinear form for the
conforming finite elements is applied to discontinuous finite elements without adding any …