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Now showing items 1-10 of 31

#### Rigorous numerics for NLS: Bound states, spectra, and controllability

(Physica D: Nonlinear Phenomena, 2015-12-31)

In this paper it is demonstrated how rigorous numerics may be applied to the one-dimensional nonlinear Schrödinger equation (NLS); specifically, to determining bound-state solutions and establishing certain spectral ...

#### On the maximum angle condition for the conforming longest-edge n-section algorithm for large values of n

(Computer Aided Geometric Design, 2015-12-31)

In this note we introduce the conforming longest-edge $n$-section algorithm and show that for $n \ge 4$ it produces a family of triangulations which does not satisfy the maximum angle condition.

#### An Agent-Oriented Hierarchic Strategy for Solving Inverse Problems

(International Journal of Applied Mathematics and Computer Science, 2015-12-31)

The paper discusses the complex, agent-oriented hierarchic memetic strategy (HMS) dedicated to solving inverse parametric problems. The strategy goes beyond the idea of two-phase global optimization algorithms. The global ...

#### Discontinuous high-order finite-volume/finite-element method for inviscid compressible flows

(53rd AIAA Aerospace Sciences Meeting (2015), 2015-12-31)

The discontinuous, hybrid control-volume/finite-element method merges the desirable conservative properties and intuitive physical formulation of the finite-volume technique, with the capability of local arbitrary high-order ...

#### A posteriori error analysis of a stabilized mixed FEM for convectuion-diffusion problems

(AIMS Proceedings, 2015, 2015-12-31)

We present an augmented dual-mixed variational formulation for a linear convection-diffusion equation with homogeneous Dirichlet boundary conditions. The approach is based on the addition of suitable least squares type ...

#### High-accuracy adaptive modeling of the energy distribution of a meniscus-shaped cell culture in a Petri dish

(Journal of Computational Science, 2015-12-31)

Cylindrical Petri dishes embedded in a rectangular waveguide and exposed to a polarized electromagnetic wave are often used to grow cell cultures. To guarantee the success of these cultures, it is necessary to enforce that ...

#### Semi-analytical response of acoustic logging measurements in frequency domain

(Computers and Mathematics with Applications, 2015-12-31)

This work proposes a semi-analytical method for simulation of the acoustic response of multipole eccentered sources in a fluid-filled borehole. Assuming a geometry that is invariant with respect to the azimuthal and vertical ...

#### Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines

(Computer Methods in Applied Mechanics and Engineering, 2015-12-31)

This paper derives theoretical estimates of the computational cost for isogeometric multi-frontal direct solver executed on parallel distributed memory machines. We show theoretically that for the $C^{p-1}$ global continuity ...

#### One-dimensional chaos in a system with dry friction: analytical approach

(Meccanica, 2015-12-31)

We introduce a new analytical method, which allows to find chaotic regimes in non-smooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction element is considered. The corresponding ...

#### A Non-uniform Staggered Cartesian Grid approach for Lattice-Boltzmann method

(Procedia Computer Science, 2015-12-31)

We propose a numerical approach based on the Lattice-Boltzmann method (LBM) for dealing with mesh refinement of Non-uniform Staggered Cartesian Grid. We explain, in detail, the strategy for mapping LBM over such geometries. ...