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Inverse heat conduction problems by meshless local Petrov-Galerkin method
Title Inverse heat conduction problems by meshless local Petrov-Galerkin method Author Sládek Ján SAVSTAV - Ústav stavebníctva a architektúry SAV RID ORCID Co-authors Sládek Vladimír SAVSTAV - Ústav stavebníctva a architektúry SAV Hon Y.C. Source document Engineering Analysis with Boudary Elements. Vol. 30, no. 8 (2006), p. 650-661 Language eng - English Country GB - Great Britian Document kind rozpis článkov z periodík (rbx) Citations DEHGHAN, M. - MIRZAEI, D. The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrodinger equation. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, SEP 2008, vol. 32, no. 9, p. 747-756. DEHGHAN, M. - MIRZAEI, D. Meshless Local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, MAY 2009, vol. 59, no. 5, p. 1043-1058. YU, G.X. - WEN, P.H. - WANG, H.S. - ROSE, J.W. AN INVERSE METHOD TO DETERMINE BOUNDARY TEMPERATURE AND HEAT FLUX FOR A 2D STEADY STATE HEAT CONDUCTION PROBLEM. DETC 2008: PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATIONAL IN ENGINEERING CONFERENCE, VOL 3, PTS A AND B - 28TH COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE. 2009, p. 1087-1093. HONNER, M. - SROUB, J. Modeling of Thermal Spraying Heat Transfer Processes by Exodus Stochastic Method. JOURNAL OF THERMAL SPRAY TECHNOLOGY. ISSN 1059-9630, DEC 2009, vol. 18, no. 5-6, p. 1014-1021. GRYSA, K. - LESNIEWSKA, R. Different finite element approaches for inverse heat conduction problems. In INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2010, vol. 18, no. 1, p. 3-17. MIRZAEI, D. - DEHGHAN, M. Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. In JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, vol. 233, no. 10, p. 2737-2754. ZHOU, H. M. - LIU, Z. G. - LU, B. H. Heat conduction analysis of heterogeneous objects based on multi-color distance field. In MATERIALS & DESIGN, 2010, vol.31, no.7, 3331-3338. AKBARI, A. - BAGRI, A. - BORDAS, S. P. A. - RABCZUK, T. Analysis of Thermoelastic Waves in a Two-Dimensional Functionally Graded Materials Domain by the Meshless Local Petrov-Galerkin (MLPG) Method. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, vol. 65, no. 1, p. 27-74. ABBASBANDY, S. - SHIRZADI, A. A meshless method for two-dimensional diffusion equation with an integral condition. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2010, vol. 34, no. 12, p. 1031-1037. WEN, P. H. Meshless local Petrov-Galerkin (MLPG) method for wave propagation in 3D poroelastic solids. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2010, vol. 34, no. 4, p. 315-323. THAKUR, H. - SINGH, K. M. - SAHOO, P. K. Phase change problems using the MLPG method. In NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2011, vol. 59, no. 6, p. 438-458. LI, Z. - MAO, X.Z. Global space-time multiquadric method for inverse heat conduction problem. In INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2011, vol. 85, no. 3, p. 355-379. CHEN, Li - LIEW, K. M. A local Petrov-Galerkin approach with moving Kriging interpolation for solving transient heat conduction problems. In COMPUTATIONAL MECHANICS, 2011, vol. 47, no. 4, p. 455-467. HOSSEINI, S.M. - SHAHABIAN, F. Stochastic assessment of thermo-elastic wave propagation in functionally graded materials (FGMs)with gaussian uncertainty in constitutive mechanical properties. In JOURNAL OF THERMAL STRESSES, 2011, vol. 34, no. 10, p. 1071-1099. WU, X. H. - DAI, Y. J. - TAO, W. Q. MLPG/SUPG method for convection-dominated problems. In NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS. ISSN 1040-7790, 2012, vol. 61, no. 1, p. 36-51. HAGHIGHI, M. R. Golbahar - MALEKZADEH, P. - RAHIDEH, H. - VAGHEFI, M. Inverse transient heat conduction problems of a multilayered functionally graded cylinder . In NUMERICAL HEAT TRANSFER PART A-APPLICATIONS. ISSN 1040-7782, 2012, vol. 61, no. 9, p. 717-733. WEI, G. F. - GAO, H. F. - LEE, G. Two-dimensional Inverse Heat Conduction Problem Using a Meshless Manifold Method. In INTERNATIONAL CONFERENCE ON SOLID STATE DEVICES AND MATERIALS SCIENCE. ISSN 1875-3892, 2012, vol. 25, no., p. 421-426. RAHIDEH, H. - MALEKZADEH, P. - HAGHIGHI, M. R. Golbahar - VAGHEFI, M. Two-dimensional inverse transient heat conduction analysis of laminated functionally graded circular plates. In NUMERICAL HEAT TRANSFER PART A-APPLICATIONS. ISSN 1040-7782, 2012, vol. 62, no. 12, p. 992-1014. SHIRZADI, A. - LING, L. - ABBASBANDY, S. Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2012, vol. 36, no. 11, p. 1522-1527. ABREU, A. I. - CANELAS, A. - MANSUR, W. J. A CQM-based BEM for transient heat conduction problems in homogeneous materials and FGMs. In APPLIED MATHEMATICAL MODELLING. ISSN 0307-904X, 2013, vol. 37, no. 3, p. 776-792. SHIRZADI, A. - LING, L. Convergent Overdetermined-RBF-MLPG for Solving Second Order Elliptic PDEs. In ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. ISSN 2070-0733, 2013, vol. 5, no. 1, p. 78-89. MOVAHEDIAN, B. - BOROOMAND, B. - SOGHRATI, S. A Trefftz method in space and time using exponential basis functions: Application to direct and inverse heat conduction problems. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2013, vol. 37, no. 5, p. 868-883. WANG, F. - LIN, G. - ZHENG, B. J. - HU, Z. Q. An improved local radial point interpolation method for transient heat conduction analysis. In CHINESE PHYSICS B. ISSN 1674-1056, 2013, vol. 22, no. 6, article number 060206. NAJAFI, M. - AREFMANESH, A. - ENJILELA, V. Extending MLPG primitive variable-based method for implementation in fluid flow and natural, forced and mixed convection heat transfer. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2013, vol. 37, no. 10, p. 1285-1299. LI, Q. H. - CHEN, S. S. - ZENG, J. H. A meshless model for transient heat conduction analyses of 3D axisymmetric functionally graded solids. In CHINESE PHYSICS B. ISSN 1674-1056, 2013, vol. 22, no. 12, article number 120204. YU, G. X. - SUN, J. - WANG, H. S. - WEN, P. H. - ROSE, J. W. Meshless inverse method to determine temperature and heat flux at boundaries for 2D steady-state heat conduction problems. In EXPERIMENTAL THERMAL AND FLUID SCIENCE. ISSN 0894-1777, 2014, vol. 52, p. 156-163. SHIAH, Y. C. - LEE, Y. M. - HUANG, T. C. A Novel Approach to Identify the Thermal Conductivities of a Thin Anisotropic Medium by the Boundary Element Method. In CMC-COMPUTERS MATERIALS & CONTINUA. ISSN 1546-2218, 2014, vol. 39, no. 1, p. 49-71. HAGHIGHI, M. R. G. - MALEKZADEH, P. - AFSHARI, M. Inverse internal pressure estimation of functionally graded cylindrical shells under thermal environment. In ACTA MECHANICA. ISSN 0001-5970, 2014, vol. 225, no. 12, p. 3377-3393. TAIGBENU, A. E. Inverse Green Element Solutions of Heat Conduction Using the Time-Dependent and Logarithmic Fundamental Solutions. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. ISSN 1526-1492, 2014, vol. 102, no. 4, p. 271-289. DEHGHAN, M. - ABBASZADEH, M. - MOHEBBI, A. Numerical Solution of System of N-Coupled Nonlinear Schrodinger Equations via Two Variants of the Meshless Local Petrov-Galerkin (MLPG) Method. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. ISSN 1526-1492, 2014, vol. 100, no. 5, p. 399-444. HOSSEINI, S. M. Application of a hybrid mesh-free method for shock-induced thermoelastic wave propagation analysis in a layered functionally graded thick hollow cylinder with nonlinear grading patterns. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2014, vol. 43, p. 56-66. DEHGHAN, M. - ABBASZADEH, M. - MOHEBBI, A. Meshless Local Petrov-Galerkin and RBFs Collocation Methods for Solving 2D Fractional Klein-Kramers Dynamics Equation on Irregular Domains. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. ISSN 1526-1492, 2015, vol. 107, no. 6, p. 481-516. DEHGHAN, M. - SHIRZADI, M. Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 50, p. 291-303. TAIGBENU, A. E. Inverse solutions of temperature, heat flux and heat source by the Green element method. In APPLIED MATHEMATICAL MODELLING. ISSN 0307-904X, 2015, vol. 39, no. 2, p. 667-681. ENJILELA, V. - AREFMANESH, A. Two-step Taylor-characteristic-based MLPG method for fluid flow and heat transfer applications. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 51, p. 174-190. HAGHIGHI, M. R. G. - MALEKZADEH, P. - AFSHARI, M. Inverse estimation of heat flux and pressure in functionally graded cylinders with finite length. In COMPOSITE STRUCTURES. ISSN 0263-8223, 2015, vol. 121, p. 1-15. LU, T. - HAN, W. W. - JIANG, P. X. - ZHU, Y. H. - WU, J. - LIU, C. L. A two-dimensional inverse heat conduction problem for simultaneous estimation of heat convection coefficient, fluid temperature and wall temperature on the inner wall of a pipeline. In PROGRESS IN NUCLEAR ENERGY. ISSN 0149-1970, 2015, vol. 81, p. 161-168. HEMATIYAN, M. R. - KHOSRAVIFARD, A. - SHIAH, Y. C. A novel inverse method for identification of 3D thermal conductivity coefficients of anisotropic media by the boundary element analysis. In INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. ISSN 0017-9310, 2015, vol. 89, p. 685-693. ILATI, M. - DEHGHAN, M. Meshless Local Weak form Method Based on a Combined Basis Function for Numerical Investigation of Brusselator Model and Spike Dynamics in the Gierer-Meinhardt System. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. ISSN 1526-1492, 2015, vol. 109, no. 4, p. 325-360. DEHGHAN, M. - ABBASZADEH, M. - MOHEBBI, A. The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2016, vol. 62, p. 93-111. LABIBZADEH, M. Voronoi Based Discrete Least Squares Mesh less Method for Heat Conduction Simulation in Highly Irregular Geometries. In CHINESE JOURNAL OF MECHANICAL ENGINEERING. ISSN 1000-9345, 2016, vol. 29, no. 1, p. 98-111. EBRAHIMI, H. Z. - HAGHIGHI, M. R. G. Estimation of heat flux and mechanical loads on laminated functionally graded plate. In ACTA MECHANICA. ISSN 0001-5970, 2016, vol. 227, no. 8, p. 2075-2097. ILATI, M. - DEHGHAN, M. Remediation of contaminated groundwater by meshless local weak forms. In COMPUTERS & MATHEMATICS WITH APPLICATIONS. ISSN 0898-1221, 2016, vol. 72, no. 9, p. 2408-2416. SHOKRI, A. - HABIBIRAD, A. A moving Kriging-based MLPG method for nonlinear Klein-Gordon equation. In MATHEMATICAL METHODS IN THE APPLIED SCIENCES. ISSN 0170-4214, 2016, vol. 39, no. 18, p. 5381-5394. MIN, Ch. - LI, X. - YUAN, Y. - CHEN, Z. - TIAN, L. An inverse study to optimize the rib pitch in a two-dimensional channel flow problem for heat transfer enhancement. In INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. ISSN 0017-9310, 2017, vol. 112, p. 1044-1051. DEHGHAN, M. - ABBASZADEH, M. Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross-Pitaevskii equation. In ENGINEERING WITH COMPUTERS. ISSN 0177-0667, 2017, vol. 33, no. 4, p. 983-996. CHANG, C. W. - LIU, C. H. - WANG, C. C. Review of Computational Schemes in Inverse Heat Conduction Problems. In SMART SCIENCE, 2018, vol. 6, no. 1, p. 94-103. POURBASHASH, H. - OSHAGH, M. K. E. Local RBF-FD technique for solving the two-dimensional modified anomalous sub-diffusion equation. In APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, 2018, vol. 339, p. 144-152. JIN, J. - ZHENG, J. L. - HUANG, T. - YANG, J. J. - WANG, H. S. - WEN, P. H. - LI, J. M. Inverse heat conduction in anisotropic and functionally graded media by finite integration method. In International Journal of Computational Methods and Experimental Measurements. ISSN 20460546, 2018, 6, 6, p. 1149-1160. GHIASI, N. - KHOSRAVIFARD, A. A novel method for estimation of intensity and location of multiple point heat sources based on strain measurement. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2019, vol. 98, p. 203-216. GU, Y. - FAN, C. M. - QU, W. Z. - WANG, F. J. Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems Theory and MATLAB code. In COMPUTERS & STRUCTURES. ISSN 0045-7949, 2019, vol. 220, p. 144-155. ABBASZADEH, M. - DEHGHAN, M. The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2019, vol. 106, p. 300-308. QU, W. Z. - FAN, C. M. - GU, Y. Localized method of fundamental solutions for interior Helmholtz problems with high wave number. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2019, vol. 107, p. 25-32. KARAMI, A. - ABBASBANDY, S. - SHIVANIAN, E. INverse Problem of Identifying a Time-Dependent Coefficient and Free Boundary in Heat Conduction Equation by Using the Meshless Local Petrov-Galerkin (MLPG) Method via Moving Least Squares Approximation. In FILOMAT. ISSN 0354-5180, 2020, vol. 34, no. 10, p. 3319-3337. ABBASZADEH, M. - DEHGHAN, M. Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. In COMPUTERS & MATHEMATICS WITH APPLICATIONS. ISSN 0898-1221, 2020, vol. 79, no. 3, p. 876-888. WANG, F. J. - GU, Y. - QU, W. Z. - ZHANG, C. Z. Localized boundary knot method and its application to large-scale acoustic problems. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2020, vol. 361, art. no. 112729. ABBASZADEH, M. - DEHGHAN, M. Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2020, vol. 118, p. 188-201. WANG, Chao - WANG, Fajie - GONG, Yanpeng. Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method. In AIMS MATHEMATICS, 2021, vol. 6, no. 11, pp. 12599-12618. Dostupné na: https://doi.org/10.3934/math.2021726. QU, Wenzhen - SUN, Linlin - LI, Po-Wei. Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS. In MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, vol. 185, pp. 347-357. ISSN 0378-4754. Dostupné na: https://doi.org/10.1016/j.matcom.2020.12.031. ABBASZADEH, Mostafa - BAYAT, Mostafa - DEHGHAN, Mehdi - AZIS, Mohammad Ivan. Investigation of generalized Couette hydromagnetic flow of two-step exothermic chemical reaction in a channel via the direct meshless local Petrov-Galerkin method. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, vol. 125, pp. 178-189. ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2020.12.022. WANG, Fajie - CHEN, Zengtao - LI, Po-Wei - FAN, Chia-Ming. Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, vol. 129, pp. 82-92. ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2021.04.020. ABBASZADEH, Mostafa - DEHGHAN, Mehdi - AZIS, Mohammad Ivan. The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, vol. 132, pp. 469-480. ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2021.06.026. QU, Wenzhen - GAO, Hongwei - GU, Yan. Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals. In ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, vol. 13, no. 6, pp. 1398-1417. ISSN 2070-0733. Dostupné na: https://doi.org/10.4208/aamm.OA-2020-0178. ABBASZADEH, Mostafa - DEHGHAN, Mehdi. The fourth-order time-discrete scheme and split-step direct meshless finite volume method for solving cubic-quintic complex Ginzburg-Landau equations on complicated geometries. In ENGINEERING WITH COMPUTERS, 2022, vol. 38, no. 2, pp. 1543-1557. ISSN 0177-0667. Dostupné na: https://doi.org/10.1007/s00366-020-01089-6. LU, J. - SHI, L.P. - LIU, H.S. - CHEN, C.S. Solving Inverse Conductivity Problems in Doubly Connected Domains by the Homogenization Functions of Two Parameters. In MATHEMATICS. JUL 2022, vol. 10, no. 13, art. no. 2256. Dostupné na: https://doi.org/10.3390/math10132256. ABBASZADEH, M. - BAYAT, M. - DEHGHAN, M. Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. In APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, NOV 15 2022, vol. 433, art. no. 127293. Dostupné na: https://doi.org/10.1016/j.amc.2022.127293. OLABIYI, R. - PANDEY, H. - HU, H. - IQUEBAL, A. A BAYESIAN SPATIO-TEMPORAL MODELING APPROACH TO THE INVERSE HEAT CONDUCTION PROBLEM. In PROCEEDINGS OF ASME 2023 HEAT TRANSFER SUMMER CONFERENCE, HT2023, 2023, art. no. v001t15a005. ABBASZADEH, M. - SALEC, A.B. - ALWAN, A.S. Simulation of predator-prey system with two-species, two chemicals and an additional chemotactic influence via direct meshless local Petrov-Galerkin method. In INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW. ISSN 0961-5539, JUN 22 2023, vol. 33, no. 8, p. 2730-2756. Dostupné na: https://doi.org/10.1108/HFF-01-2023-0011. ILATI, M. - ABBASZADEH, M. Fourth-order exponential time differencing Runge-Kutta scheme and local meshless method to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials. In INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. ISSN 0020-7160, OCT 2 2024, vol. 101, no. 9-10, SI, p. 922-941. Dostupné na: https://doi.org/10.1080/00207160.2024.2351114. OLABIYI, R. - PANDEY, H. - HU, H. - IQUEBAL, A. A Bayesian Spatiotemporal Modeling Approach to the Inverse Heat Conduction Problem. In ASME JOURNAL OF HEAT AND MASS TRANSFER. ISSN 2832-8450, SEP 1 2024, vol. 146, no. 9. Dostupné na: https://doi.org/10.1115/1.4065451. Category ADCA - Scientific papers in foreign journals registered in Current Contents Connect with IF (impacted) Category of document (from 2022) V3 - Vedecký výstup publikačnej činnosti z časopisu Type of document článok Year 2006 Registered in WOS Registered in SCOPUS Registered in CCC DOI 10.1016/j.enganabound.2006.03.003 
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rok CC IF IF Q (best) JCR Av Jour IF Perc SJR SJR Q (best) CiteScore A rok vydania rok metriky IF IF Q (best) SJR SJR Q (best) 2006 2005 0.894 Q1 1.174 Q1
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