An Accurate Space–Time Pseudospectral Method for Solving Nonlinear Multi-Dimensional Heat Transfer Problems
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DOI: 10.1007/s00009-016-0827-0
Abstract: In this paper, we consider the numerical solution of the nonlinear one- and two-dimensional heat transfer problems subject to the given initial conditions and linear Robin boundary conditions. We propose a pseudospectral scheme in both… read more here.
Keywords: space time; time; transfer problems; heat transfer ... See more keywords
On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier–Stokes Equations
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DOI: 10.1007/s10915-016-0266-x
Abstract: The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional heat equation, the Stokes equations and the Navier–Stokes equations with Dirichlet boundary conditions. The main idea is… read more here.
Keywords: stokes equations; two dimensional; controllability; dimensional heat ... See more keywords
A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation
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DOI: 10.1007/s10958-018-3834-9
Abstract: We consider an inverse problem of determination of the time-dependent leading coefficient of a two-dimensional heat-conduction equation with nonlocal overdetermination condition. The existence and uniqueness conditions are established for the classical solution of the analyzed… read more here.
Keywords: inverse problem; two dimensional; heat conduction; conduction equation ... See more keywords
Conservative domain decomposition schemes for solving two-dimensional heat equations
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DOI: 10.1007/s40314-019-0767-y
Abstract: In this paper, by combining the operator splitting technique, a new mass-conserved domain decomposition method for two-dimensional heat equations is proposed. Along the each direction, the interface fluxes are first calculated from the explicit fluxes,… read more here.
Keywords: two dimensional; heat equations; dimensional heat; domain decomposition ... See more keywords
Theoretical analysis of thermoelastic damping in bilayered circular plate resonators with two-dimensional heat conduction
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DOI: 10.1016/j.ijmecsci.2017.11.003
Abstract: Abstract To minimize thermoelastic damping (TED) loss of energy, it is of great significance to determine TED for resonators. In this paper, we established the governing equation of thermoelastic problems with two-dimensional heat conduction for… read more here.
Keywords: two dimensional; thermoelastic damping; plate; heat conduction ... See more keywords
The cost of the control in the case of a minimal time of control: The example of the one-dimensional heat equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.01.096
Abstract: In this article, we consider the controllability of the one-dimensional heat equation with an internal control depending only on the time variable and an imposed profile depending on the space variable. It is well-known that… read more here.
Keywords: control; one dimensional; time; heat equation ... See more keywords