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Arezou Ghesmati
Researcher at Amirkabir University of Technology
Publications - 7
Citations - 539
Arezou Ghesmati is an academic researcher from Amirkabir University of Technology. The author has contributed to research in topics: Hyperbolic partial differential equation & Finite element method. The author has an hindex of 4, co-authored 6 publications receiving 491 citations.
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Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
Mehdi Dehghan,Arezou Ghesmati +1 more
TL;DR: The meshless local radial point interpolation method (LRPIM) is adopted to simulate the two-dimensional nonlinear sine-Gordon (S-G) equation and a simple predictor–corrector scheme is performed to eliminate the nonlinearity.
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Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
Mehdi Dehghan,Arezou Ghesmati +1 more
TL;DR: In this paper, a numerical method based on boundary integral equation (BIE) and an application of the dual reciprocity method (DRM) was used to solve the second-order one space-dimensional hyperbolic telegraph equation.
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Combination of meshless local weak and strong (MLWS) forms to solve the two dimensional hyperbolic telegraph equation
Mehdi Dehghan,Arezou Ghesmati +1 more
TL;DR: In this article, a meshless local weak-strong (MLWS) method is proposed to solve the second-order two-space-dimensional telegraph equation, which combines the advantage of local weak and strong forms to avoid their shortcomings.
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Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein–Gordon equation
Mehdi Dehghan,Arezou Ghesmati +1 more
TL;DR: This paper aims to obtain approximate solutions of the Nonlinear Klein–Gordon (NLKG) equation by employing the Boundary Integral Equation method and the Dual Reciprocity Boundary Element Method (DRBEM), improved by using a predictor–corrector scheme to the nonlinearity which appears in the problem.
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Residual-based a posteriori error estimation for hp-adaptive finite element methods for the Stokes equations
TL;DR: A residual-based a posteriori error estimator for the conforming hp-Adaptive Finite Element Method (hp-AFEM) for the steady state Stokes problem describing the slow motion of an incompressible fluid is derived.