For linear elliptic PDEs formulated in the interior of a polygon, the socalled unified transform (or Fokas method) gives rise to a novel numerical technique. This technique, which can be considered as the counterpart in ...
A CPU-GPU parallel algorithm for a fourth-order compact finite difference scheme with unequal mesh size in different coordinate directions, is designed to discretize a two dimensional isotropic or anisotropic Poisson ...
Mandikas, Vassilios G.; Mathioudakis, Emmanuel N.; Kozyrakis, G. V.; Ekaterinaris, John A.; Kampanis, Nikolaos A.(AMCL/TUC, 2014-09-02)
A high-order accurate compact finite-difference numerical scheme, based on multigrid techniques, is constructed on staggered grids in order to develop an efficient incompressible Navier-Stokes solver. The enforcement of ...
Image Registration is the process of transforming sets of data acquired at different time-points, sensors and viewpoints into a single coordinate system. It is widely used in computer vision, medical imaging and satellite ...
Katsevich algorithm is an exact cone-beam reconstruction algorithm of filtered backprojection (FBP) type. In the paper, a numerical calculation of Katservich algorithm for spherical detector is proposed and its implementation ...
In this paper, the perturbation of the Dirichlet-to-Neumann map based transmission conditions for the domain decomposition method are studied by an example of 1D Helmholtz. It is proved, that if the perturbation is symmetric ...
Valtchev, Svilen S.; Alves, Carlos J. S.; Martins, Nuno F. M.(AMCL/TUC, 2014-09-02)
We consider the numerical solution of the inhomogeneous Cauchy-Navier equations of elastodynamics for an isotropic material. The corresponding elliptic PDE, posed in a bounded simply connected domain, is coupled with ...
Multi-physics phenomena are quite complex and it is impossible to solve them efficiently and accurately by facing them with a single complicated model. They are usually modeled as multi-domain multi-physics Partial ...
In this work, we consider numerous types of reaction-diffusion models arising in mathematical ecology. Using local analysis theory, we study four important ecological systems. We address the interaction between two species ...
In this work, we introduce and study a new one-step itera- tive process to approximate common fixed points for single valued nonexpansive and multi-valued strictly pseudocontractive mappings in Hilbert spaces. Also, we ...
It is shown that the Ziggurat algorithm designed for sampling from monotone decreasing univariate distributions can be extended to continuous unimodal bivariate distributions with necessary modifications. A bivariate version ...
Spectral X-ray CT makes use of novel detector technologies that provide energy information. This information can be naturally included in the reconstruction phase when the algorithm is based on a statistical formulation. ...
For solving the Fredholm integral equation of the second kind, we approximate the kernel by two types of bivariate spline quasi- interpolants, namely the tensor product and the continuous blending sum of univariate spline ...
We investigate the numerical solution of two-dimensional Fredholm integral equations defined on the set S = [a, b] × [c, d], −∞ ≤ a < b ≤ ∞, −∞ ≤ c < d ≤ ∞,
f(x,y)−μ \int{k(x,y,s,t)f(s,t)w(s,t)}dsdt=g(x,y), (x,y)∈S, (1) ...
Microelectroniccircuitsusuallycontainsmallvoidsorcracks, and if those defects are large enough to sever the line, they cause an open circuit. Two fully practical finite element methods for the temporal analysis of the ...
In this work, motivated mostly from the inability of multistart solvers to determine the quality and the quantity of local minima regions of attraction, a new technique is proposed to correspond each sample point to a ...
In this work we consider optimization problems for processes described by semilinear partial differential equations of elliptic type with discontinuous coe cients and solutions (with imperfect contact matching conditions), ...
Machining large complex industrial parts often requires tens, hundreds of thousands or even millions of cutter location points and hundreds hours of machining. Reduction of the machining time is one of the most important ...
Similarity rules are used to decrease the computational load of gas-solid two-phase flow, in which the Lagrangian approach is applied to the discrete solid particles. An imaginary system with imaginary gas and particles ...
In this paper we present an original approach to combination of standard staggered grid finite-difference scheme with discontinuous Galerkin (DG) method for simulation of seismic wave propagation in presence of sharp ...