Edit Profile (opens in new tab) Mirzaei, Davoud Co-Author Distance Author ID: mirzaei.davoud Published as: Mirzaei, Davoud; Mirzaei, D. External Links: ORCID Documents Indexed: 39 Publications since 2008, including 1 Additional arXiv Preprint Co-Authors: 13 Co-Authors with 29 Joint Publications 239 Co-Co-Authors all top 5 Co-Authors 9 single-authored 17 Dehghan Takht Fooladi, Mehdi 3 Schaback, Robert 2 Hasanpour, Kourosh 2 Soodbakhsh, Navid 1 Arefian, Sara 1 Darani, Mohammadreza Ahmadi 1 Farazandeh, Elham 1 Hosseinzadeh, Hossein 1 Jabalameli, Mozhgan 1 Mir, Reyhaneh 1 Mohammadi, Vahid 1 Seyednazari, Salar 1 Tatari, Mehdi all top 5 Serials 5 Engineering Analysis with Boundary Elements 4 Applied Numerical Mathematics 3 Computers & Mathematics with Applications 3 Journal of Computational and Applied Mathematics 3 Numerical Methods for Partial Differential Equations 2 Acta Mechanica 2 Journal of Computational Physics 2 International Journal for Numerical Methods in Engineering 2 Numerical Algorithms 2 Applied Mathematical Modelling 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 BIT 1 SIAM Journal on Numerical Analysis 1 Computational Mechanics 1 Journal of Scientific Computing 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 CMES. Computer Modeling in Engineering & Sciences all top 5 Fields 32 Numerical analysis (65-XX) 12 Partial differential equations (35-XX) 6 Approximations and expansions (41-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 1,156 times in 631 Documents Cited by ▼ Year ▼ On generalized moving least squares and diffuse derivatives. Zbl 1252.65037 Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi 128 2012 A meshless based method for solution of integral equations. Zbl 1202.65174 Mirzaei, Davoud; Dehghan, Mehdi 103 2010 Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. Zbl 1159.76034 Dehghan, Mehdi; Mirzaei, Davoud 87 2009 The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation. Zbl 1244.65139 Dehghan, Mehdi; Mirzaei, Davoud 78 2008 The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation. Zbl 1169.76401 Dehghan, Mehdi; Mirzaei, Davoud 69 2008 Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. Zbl 1183.65113 Mirzaei, Davoud; Dehghan, Mehdi 65 2010 Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method. Zbl 1195.81007 Dehghan, Mehdi; Mirzaei, Davoud 64 2008 Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118 Mirzaei, Davoud; Schaback, Robert 61 2013 Analysis of moving least squares approximation revisited. Zbl 1309.65137 Mirzaei, Davoud 51 2015 The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers. Zbl 1349.76417 Hosseinzadeh, Hossein; Dehghan, Mehdi; Mirzaei, Davoud 45 2013 The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099 Dehghan, Mehdi; Mirzaei, Davoud 44 2008 Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes. Zbl 07872387 Dehghan, Mehdi; Mirzaei, Davoud 44 2009 Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method. Zbl 1292.65107 Mirzaei, Davoud; Schaback, Robert 32 2014 Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear elements. Zbl 1166.65390 Mirzaei, Davoud; Dehghan, Mehdi 28 2009 A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation. Zbl 1244.74149 Dehghan, Mehdi; Mirzaei, Davoud 26 2009 Implementation of meshless LBIE method to the 2D nonlinear SG problem. Zbl 1176.65118 Mirzaei, Davoud; Dehghan, Mehdi 25 2009 The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. Zbl 1473.65331 Mirzaei, Davoud 23 2021 Error bounds for GMLS derivatives approximations of Sobolev functions. Zbl 1327.65041 Mirzaei, Davoud 22 2016 A greedy meshless local Petrov-Galerkin methodbased on radial basis functions. Zbl 1339.65220 Mirzaei, Davoud 17 2016 MLPG approximation to the \(p\)-Laplace problem. Zbl 1200.65094 Mirzaei, Davoud; Dehghan, Mehdi 16 2010 Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions. Zbl 1426.65149 Mohammadi, Vahid; Mirzaei, Davoud; Dehghan, Mehdi 16 2019 Direct meshless local Petrov-Galerkin method for elastodynamic analysis. Zbl 1334.74084 Mirzaei, Davoud; Hasanpour, Kourosh 15 2016 New implementation of MLBIE method for heat conduction analysis in functionally graded materials. Zbl 1352.65321 Mirzaei, Davoud; Dehghan, Mehdi 15 2012 DMLPG solution of the fractional advection-diffusion problem. Zbl 1403.65075 Ramezani, M.; Mojtabaei, M.; Mirzaei, D. 12 2015 MLPG method for transient heat conduction problem with MLS as trial approximation in both time and space domains. Zbl 1231.80047 Mirzaei, D.; Dehghan, M. 12 2011 A new low-cost meshfree method for two and three dimensional problems in elasticity. Zbl 1443.74085 Mirzaei, Davoud 10 2015 A weak-form RBF-generated finite difference method. Zbl 1437.65160 Jabalameli, Mozhgan; Mirzaei, Davoud 9 2020 Direct approximation on spheres using generalized moving least squares. Zbl 1407.65312 Mirzaei, Davoud 8 2017 A Petrov-Galerkin kernel approximation on the sphere. Zbl 1387.65120 Mirzaei, Davoud 6 2018 A rational RBF interpolation with conditionally positive definite kernels. Zbl 1489.65027 Farazandeh, Elham; Mirzaei, Davoud 6 2021 The D-RBF-PU method for solving surface PDEs. Zbl 07660356 Mir, Reyhaneh; Mirzaei, Davoud 6 2023 A fast meshfree technique for the coupled thermoelasticity problem. Zbl 1392.74093 Hasanpour, Kourosh; Mirzaei, Davoud 5 2018 A compact radial basis function partition of unity method. Zbl 1524.65074 Arefian, Sara; Mirzaei, Davoud 5 2022 A fault detection method based on partition of unity and kernel approximation. Zbl 1521.65012 Mirzaei, Davoud; Soodbakhsh, Navid 2 2023 On analysis of kernel collocation methods for spherical PDEs. Zbl 1464.65213 Mirzaei, Davoud 1 2020 The D-RBF-PU method for solving surface PDEs. Zbl 07660356 Mir, Reyhaneh; Mirzaei, Davoud 6 2023 A fault detection method based on partition of unity and kernel approximation. Zbl 1521.65012 Mirzaei, Davoud; Soodbakhsh, Navid 2 2023 A compact radial basis function partition of unity method. Zbl 1524.65074 Arefian, Sara; Mirzaei, Davoud 5 2022 The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. Zbl 1473.65331 Mirzaei, Davoud 23 2021 A rational RBF interpolation with conditionally positive definite kernels. Zbl 1489.65027 Farazandeh, Elham; Mirzaei, Davoud 6 2021 A weak-form RBF-generated finite difference method. Zbl 1437.65160 Jabalameli, Mozhgan; Mirzaei, Davoud 9 2020 On analysis of kernel collocation methods for spherical PDEs. Zbl 1464.65213 Mirzaei, Davoud 1 2020 Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions. Zbl 1426.65149 Mohammadi, Vahid; Mirzaei, Davoud; Dehghan, Mehdi 16 2019 A Petrov-Galerkin kernel approximation on the sphere. Zbl 1387.65120 Mirzaei, Davoud 6 2018 A fast meshfree technique for the coupled thermoelasticity problem. Zbl 1392.74093 Hasanpour, Kourosh; Mirzaei, Davoud 5 2018 Direct approximation on spheres using generalized moving least squares. Zbl 1407.65312 Mirzaei, Davoud 8 2017 Error bounds for GMLS derivatives approximations of Sobolev functions. Zbl 1327.65041 Mirzaei, Davoud 22 2016 A greedy meshless local Petrov-Galerkin methodbased on radial basis functions. Zbl 1339.65220 Mirzaei, Davoud 17 2016 Direct meshless local Petrov-Galerkin method for elastodynamic analysis. Zbl 1334.74084 Mirzaei, Davoud; Hasanpour, Kourosh 15 2016 Analysis of moving least squares approximation revisited. Zbl 1309.65137 Mirzaei, Davoud 51 2015 DMLPG solution of the fractional advection-diffusion problem. Zbl 1403.65075 Ramezani, M.; Mojtabaei, M.; Mirzaei, D. 12 2015 A new low-cost meshfree method for two and three dimensional problems in elasticity. Zbl 1443.74085 Mirzaei, Davoud 10 2015 Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method. Zbl 1292.65107 Mirzaei, Davoud; Schaback, Robert 32 2014 Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118 Mirzaei, Davoud; Schaback, Robert 61 2013 The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers. Zbl 1349.76417 Hosseinzadeh, Hossein; Dehghan, Mehdi; Mirzaei, Davoud 45 2013 On generalized moving least squares and diffuse derivatives. Zbl 1252.65037 Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi 128 2012 New implementation of MLBIE method for heat conduction analysis in functionally graded materials. Zbl 1352.65321 Mirzaei, Davoud; Dehghan, Mehdi 15 2012 MLPG method for transient heat conduction problem with MLS as trial approximation in both time and space domains. Zbl 1231.80047 Mirzaei, D.; Dehghan, M. 12 2011 A meshless based method for solution of integral equations. Zbl 1202.65174 Mirzaei, Davoud; Dehghan, Mehdi 103 2010 Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. Zbl 1183.65113 Mirzaei, Davoud; Dehghan, Mehdi 65 2010 MLPG approximation to the \(p\)-Laplace problem. Zbl 1200.65094 Mirzaei, Davoud; Dehghan, Mehdi 16 2010 Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. Zbl 1159.76034 Dehghan, Mehdi; Mirzaei, Davoud 87 2009 Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes. Zbl 07872387 Dehghan, Mehdi; Mirzaei, Davoud 44 2009 Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear elements. Zbl 1166.65390 Mirzaei, Davoud; Dehghan, Mehdi 28 2009 A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation. Zbl 1244.74149 Dehghan, Mehdi; Mirzaei, Davoud 26 2009 Implementation of meshless LBIE method to the 2D nonlinear SG problem. Zbl 1176.65118 Mirzaei, Davoud; Dehghan, Mehdi 25 2009 The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation. Zbl 1244.65139 Dehghan, Mehdi; Mirzaei, Davoud 78 2008 The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation. Zbl 1169.76401 Dehghan, Mehdi; Mirzaei, Davoud 69 2008 Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method. Zbl 1195.81007 Dehghan, Mehdi; Mirzaei, Davoud 64 2008 The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099 Dehghan, Mehdi; Mirzaei, Davoud 44 2008 all cited Publications top 5 cited Publications all top 5 Cited by 823 Authors 146 Dehghan Takht Fooladi, Mehdi 31 Mirzaei, Davoud 28 Abbaszadeh, Mostafa 22 Assari, Pouria 21 Li, Xiaolin 20 Shivanian, Elyas 17 Mohebbi, Akbar 17 Tezer-Sezgin, Munevver 16 Mohammadi, Vahid 13 Shirzadi, Ahmad 12 Abbasbandy, Saeid 11 Hosseinzadeh, Hossein 9 Salehi, Rezvan 8 Adibi, Hojatollah 7 Jafarabadi, Ahmad 7 Liew, Kim Meow 7 Mirzaee, Farshid 7 Parand, Kourosh 7 Rad, Jamal Amani 7 Trask, Nathaniel A. 6 Bozkaya, Canan 6 Guo, Boling 6 Heydari, Mohammad Hossein 6 Li, Shuling 6 Schaback, Robert 6 Shirzadi, Mohammad 6 Taleei, Ameneh 6 Tatari, Mehdi 6 Wang, Tingchun 5 Habibirad, Ali 5 Ilati, Mohammad 5 Jiwari, Ram 5 Kim, Junseok 5 Laeli Dastjerdi, H. 5 Mittal, Ramesh Chand 5 Zhang, Lu-Wen 4 Aourir, E. 4 Asadi-Mehregan, Fatemeh 4 Avazzadeh, Zakieh 4 Bahmani, Erfan 4 Cheng, Rongjun 4 Darani, Mohammadreza Ahmadi 4 Enjilela, Vali 4 Fakhar-Izadi, Farhad 4 Feng, Xinlong 4 Ghesmati, Arezou 4 Hayat, Tasawar 4 He, Rui 4 Hesameddini, Esmail 4 Izem, Nouh 4 Kamranian, Maryam 4 Khodadadian, Amirreza 4 Kuberry, Paul Allen 4 Lakestani, Mehrdad 4 Liu, Wen-Jie 4 Mohammadi, Reza 4 Narimani, Niusha 4 Nikan, Omid 4 Safarpoor, Mansour 4 Samadyar, Nasrin 4 Shokri, Ali 4 Solhi, Erfan 4 Sun, Zhengjie 4 Takhtabnoos, Fariba 4 Wu, Boying 4 Wu, Xinyuan 4 Zhang, Jianming 4 Zhang, Xiaohua 3 Alipanah, Amjad 3 Al-saedi, Ahmed Eid Salem 3 Asgari, Zohreh 3 Aydın, Selçuk Han 3 Baghani, Omid 3 Banei, Siamak 3 Bochev, Pavel B. 3 Choi, Yongho 3 Ebrahimijahan, Ali 3 Fardi, Mojtaba 3 Heitzinger, Clemens 3 Hosseininia, Masoumeh 3 Hu, Xiaozhe 3 Jagtap, Ameya D. 3 Jani, Mostafa 3 Kleefeld, Andreas 3 Lin, Weicheng 3 Liu, Changying 3 Matinfar, Mashallah 3 Matsunaga, Takuya 3 Mesforush, Ali 3 Murthy, A. S. Vasudeva 3 Najafi, Mohammad Javid 3 Naserifar, Shiva 3 Oruç, Ömer 3 Pan, Wenxiao 3 Perego, Mauro 3 Pourabd, Masumeh 3 Qiao, Yuanyang 3 Saadatmandi, Abbas 3 Sedaghatjoo, Zeynab 3 Senel, Pelin ...and 723 more Authors all top 5 Cited in 89 Serials 109 Engineering Analysis with Boundary Elements 41 Journal of Computational and Applied Mathematics 38 Applied Numerical Mathematics 37 Computers & Mathematics with Applications 35 Applied Mathematics and Computation 24 Computer Physics Communications 24 Numerical Methods for Partial Differential Equations 22 Journal of Computational Physics 20 Computer Methods in Applied Mechanics and Engineering 20 Mathematical Methods in the Applied Sciences 20 Applied Mathematical Modelling 17 International Journal of Computer Mathematics 17 Communications in Nonlinear Science and Numerical Simulation 14 Mathematics and Computers in Simulation 13 Numerical Algorithms 9 Acta Mechanica 9 Computational and Applied Mathematics 8 Computational Mechanics 7 Journal of Scientific Computing 6 Mathematical Problems in Engineering 6 Advances in Applied Mathematics and Mechanics 5 International Journal for Numerical Methods in Engineering 5 SIAM Journal on Scientific Computing 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 International Journal of Computational Methods 5 Advances in Difference Equations 4 Journal of Mathematical Analysis and Applications 4 Advances in Computational Mathematics 4 International Journal of Applied and Computational Mathematics 3 Applicable Analysis 3 Computers and Fluids 3 Chaos, Solitons and Fractals 3 Applied Mathematics Letters 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 European Journal of Mechanics. A. Solids 3 European Journal of Mechanics. B. Fluids 3 Inverse Problems in Science and Engineering 3 Journal of Applied Analysis and Computation 3 Computational Methods for Differential Equations 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Mathematical Notes 2 Wave Motion 2 BIT 2 Calcolo 2 Mathematical and Computer Modelling 2 Filomat 2 Abstract and Applied Analysis 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Boundary Value Problems 2 Mathematical Sciences 2 Journal of Mathematical Modeling 1 Physics Letters. A 1 Computing 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Korean Mathematical Society 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 COMPEL 1 Computational Mathematics and Modeling 1 Journal of Global Optimization 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Imaging and Vision 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Fractals 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Journal of Vibration and Control 1 Discrete Dynamics in Nature and Society 1 Journal of Modern Optics 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Kragujevac Journal of Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 Applications and Applied Mathematics 1 SIAM Journal on Imaging Sciences 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Asian-European Journal of Mathematics 1 Journal of Nonlinear Science and Applications 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 ISRN Applied Mathematics 1 Journal of Function Spaces 1 International Journal of Partial Differential Equations 1 Constructive Mathematical Analysis 1 Electronic Research Archive all top 5 Cited in 33 Fields 550 Numerical analysis (65-XX) 283 Partial differential equations (35-XX) 118 Fluid mechanics (76-XX) 79 Integral equations (45-XX) 68 Mechanics of deformable solids (74-XX) 25 Approximations and expansions (41-XX) 24 Classical thermodynamics, heat transfer (80-XX) 21 Biology and other natural sciences (92-XX) 20 Statistical mechanics, structure of matter (82-XX) 15 Probability theory and stochastic processes (60-XX) 13 Optics, electromagnetic theory (78-XX) 11 Real functions (26-XX) 11 Ordinary differential equations (34-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Citations by Year