We present an isoparametric unfitted finite element approach of the CutFEM or Nitsche-XFEM family for simulation two-phase Stokes problems with slip between phases. For generalized Taylor--Hood pair $\mathbf{P}_{k+1}-P_k$, $k\ge1$, we show inf-sup stability property a constant that is independent viscosity ratio, coefficient, position interface respect to background mesh and, course, size. In a...

We give an estimate of type sup× inf on Riemannian manifold of dimension 5 for Yamabe type equation. Mathematics Subject Classification: 53C21, 35J60 35B45 35B50

We suppose that X and Y are nonempty sets and f : X × Y → R. A minimax theorem is a theorem that asserts that, under certain conditions , inf Y sup X f = sup X inf Y f, that is to say, inf y∈Y sup x∈X f (x, y) = sup x∈X inf y∈Y f (x, y). The purpose of this article is to give the reader the flavor of the different kind of mini-max theorems, and of the techniques that have been used to prove the...

Let un sup(ak )∞ k n and vn sup(bk ) ∞ k n be suprema. Then the following obvious relation ak ≤ un and bk ≤ vn , ∀k ≥ n ⇒ ak + bk ≤ un + vn , ∀k ≥ n shows that, upon taking the supremum over all k with k ≥ n, we get sup(ak + bk )∞ k n ≤ un + vn . This shows that for any n ≥ m, we get lim sup k→∞ (ak + bk ) inf j: j≥m sup(ak + bk )∞ k j ≤ sup(ak + bk ) ∞ k n ≤ un + vn Since we know that (un )∞ n...

Electromyographic (EMG) activities of the superior (SUP) and inferior heads (INF) of the lateral pterygoid muscle (LPT) were recorded in humans during voluntary stepwise changes in biting force and jaw position that were adopted to exclude the effects of acceleration and velocity of jaw movements on the muscle activity. The SUP behaved like a jaw-closing muscle and showed characteristic activit...

for 10th International Workshop on Variational Multiscale and Stabilized Finite Elements (VMS2015) Some open problems of inf-sup stable FEM for incompressible flow problems G. Lube∗ Georg-August University Göttingen, Institute for Numerical and Applied Mathematics [email protected] In this talk, I will address some open problems occuring in the numerical approximation of incompressibl...

and Applied Analysis 3 The rest of the paper is organized as follows: in Section 2, we state the main results of problem (7). In Section 3, we provide some preliminary results, and the proofs of the main results together with several technical lemmas are given in Section 4. The final section of the paper contains an example to illustrate the theoretical results. 2. Main Results In this section,...