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A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
integro-differential equation continuous Galerkin finite element method convolution kernel stability a posteriori estimate
2012/5/9
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
Thermal and Mechanical Modeling of Fluid and Heat Flow in a Porous Metal Using Neural Networks for Application as TPS in Space Vehicles
Neyral Network Porous Media Prous Passages
2013/1/30
This paper contains novel model using feedback neural networks for a work piece temperature predic- tion.The heat and mass transfer in a porous metal workpiece which is heated by a fire gun is studied...
Methods of Approximation in hpk Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs
Finite Element Approximations Numerical Studies Time Approximation Variationally Consis- tent Integral Forms
2013/1/30
The present study considers mathematical classification of the time differential operators and then applies methods of approximation in time such as Galerkin method (GM ), Galerkin method with weak fo...
An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations
Quasi-Linear Parabolic Equation, Implicit Method, Cubic Spline Approximation, Diffusion-Convection Equation, Singular Equation, Burgers’ Equation, Reynolds Number
2013/1/30
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0...
Optimal interpolation formulas in the periodic function space of S.L. Sobolev
lattice optimal interpolation formula error functional optimal coefficients S.L. Sobolev
2011/1/19
In this paper the problem of construction of lattice optimal interpolation formulas in the
space ]L(m) 2 (0, 1) is considered.
Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Lossless systems input normal forms output normal forms balanced canonical forms
2011/2/21
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllability matrix is positi...
Strict and fussy mode splitting in the tangent space of the Ginzburg-Landau equation
Ginzburg-Landau equation finite value isolated modes
2010/4/6
In the tangent space of some spatially extended dissipative systems one can observe "physical" modes which are highly involved in the dynamics and are decoupled from the remaining set of hyperbolicall...
Let X be a Banach space, (I,m) be a finite measure space, and F be an increasing subadditive continuous function on [0,+\infty) with F(0)=0. In the present paper, we discuss the best p-simultaneous ap...
p-Elastica in the 3-Dimensional Lorentzian Space Forms
p-Elastica 3-Dimensional Lorentzian Space Forms
2010/2/26
R Huang worked the p-elastic in a Riemannian manifold with constant sectional curvature [1]. In this work, we solve the Euler-Lagrange equation by quadrature and study the Frenet equation of the p-ela...