In finite deformation inelasticity, one often has to deal with the incompressibility constraint. past, this was dealt using, for example, an exponential mapping approach, which yields exact volume preservation in plastic deformations. article however, special-linear update approach by Hurtado et al. The update: An application of differential manifold theory isochoric plasticity flow rules, Int ...

We propose to augment standard grid-based fluid solvers with pointwise divergence-free velocity interpolation, thereby ensuring exact incompressibility down the sub-cell level. Our method takes as input a discretely field generated by staggered grid pressure projection, and first recovers corresponding discrete vector potential. Instead of solving costly Poisson problem for potential, we develo...

A theory of information and computation has been developed: " algo-rithmic information theory. " Two books [11–12] have recently been published on this subject, as well as a number of nontechnical discussions [13–16]. The main thrust of algorithmic information theory is twofold: (1) an information-theoretic mathematical definition of random sequence via algorithmic incompressibility, and (2) st...

It is demonstrated that an understanding of the 5 2 fractional quantum Hall effect can be achieved within the composite fermion theory without appealing to the Pfaffian wave function. The residual interaction between composite fermions plays a crucial role in establishing incompressibility at this filling factor. This approach has the advantage of being amenable to systematic perturbative impro...

This paper describes a finite element formulation designed to simulate polymer melt flows in which both conductive and convective heat transfer may be important, and illustrates the numerical model by means of computer experiments using extruder drag flow and entry flow as trial problems. Fluid incompressibility is enforced by a penalty treatment of the element pressures, and the thermal convec...

We present a class of discontinuous Galerkin methods for the incompressible Navier-Stokes equations yielding exactly divergence-free solutions. Exact incompressibility is achieved by using divergence-conforming velocity spaces for the approximation of the velocities. The resulting methods are locally conservative, energy-stable, and optimally convergent. We present a set of numerical tests that...

We consider a central division algebra over a separable quadratic extension of a base field endowed with a unitary involution and prove 2-incompressibility of certain varieties of isotropic right ideals of the algebra. The remaining related projective homogeneous varieties are shown to be 2-compressible in general. Together with [17], where a similar issue for orthogonal and symplectic involuti...