Spline element method for the Monge-Ampere equation. (arXiv:1012.1775v1 [math.NA])

Spline element method for the Monge-Ampere equation. (arXiv:1012.1775v1 [math.NA]): "

We consider numerical approximations of the Monge-Amp\`ere equation det $D^2
u=f, f>0$ with Dirichlet boundary conditions on a convex bounded domain
$\Omega$ in $\mathbb{R}^n, n=2,3$. We make a comparative study of three
existing methods suitable for finite element computations. We construct
conforming approximations in the framework of the spline element method where
constraints and interelement continuities are enforced using Lagrange
multipliers.

"

Two remarks on rectangular mixed finite elements for elasticity. (arXiv:1012.1768v1 [math.NA])

Two remarks on rectangular mixed finite elements for elasticity. (arXiv:1012.1768v1 [math.NA]): "

The lowest order nonconforming rectangular element in three dimensions
involves 54 degrees of freedom for the stress and 12 degrees of freedom for the
displacement. With a modest increase in the number of degrees of freedom (24
for the stress), we obtain a conforming rectangular element for linear
elasticity in three dimensions. Moreover, unlike the conforming plane
rectangular or simplicial elements, this element does not involve any vertex
degrees of freedom. Second, we remark that further low order elements can be
constructed by approximating the displacement with rigid body motions. This
results in a pair of conforming elements with 72 degrees of freedom for the
stress and 6 degrees of freedom for the displacement.

"

Petrov-Galerkin Finite Volumes. (arXiv:1012.1734v1 [math.NA])

Petrov-Galerkin Finite Volumes. (arXiv:1012.1734v1 [math.NA]): "

For an elliptic problem with two space dimensions, we propose to formulate
the finite volume method with the help of Petrov-Galerkin mixed finite
elementsthat are based on the building of a dual Raviart-Thomas basis.

"

Topology optimization in Bernoulli free boundary problems. (arXiv:1012.1708v1 [math.NA])

Topology optimization in Bernoulli free boundary problems. (arXiv:1012.1708v1 [math.NA]): "

In this work we consider topology optimization of systems, which are governed
by the external Bernoulli free boundary problem. We utilize the so-called
pseudo-solid approach to solve the governing free boundary problems during the
optimization. To define design domains we utilize a level set representation
parameterized by radial basis functions. This design parametrization allows
topological changes in the design domain.

"

Dual Raviart-Thomas mixed finite elements. (arXiv:1012.1691v1 [math.NA])

Dual Raviart-Thomas mixed finite elements. (arXiv:1012.1691v1 [math.NA]): "

For an elliptic problem with two space dimensions, we propose to formulate
the finite volume method with the help of Petrov-Galerkin mixed finite
elementsthat are based on the building of a dual Raviart-Thomas basis.

"

Devin Townsend revela nuevos detalles de “Ghost”

Devin Townsend revela nuevos detalles de “Ghost”: "

Cada vez queda menos para que Devin Townsend Project lance sus dos nuevos álbumes que tiene planeados para 2011, que completarán su saga de 4 discos que ya integran los más que excelentes Ki y Addicted!.

Recientemente se reveló tanto el tracklist como la carátula de Ghost (del cual ya les mostramos un adelanto), que junto con el tercer disco de la saga, Deconstruction, que claramente será el más pesado, de seguro van a estar entre los mejores del año para muchos.

El tracklist y artwork de Ghost será:

1. Feather


2. Radial Highway


3. Fly


4. Monsoon


5. Infinite Ocean


6. Moonshine


7. Texada


8. Blackberry

Fuente: Metal Hammer

"