Edit Profile (opens in new tab) Atluri, Satya N. Compute Distance To: Compute Author ID: atluri.satya-n Published as: Atluri, S. N.; Atluri, Satya N.; Atluri, Satyanadham; Atluri, Satya; Atluri, S. more...less External Links: Wikidata · dblp · IdRef Documents Indexed: 282 Publications since 1971, including 2 Books 7 Contributions as Editor · 1 Further Contribution Co-Authors: 133 Co-Authors with 244 Joint Publications 2,592 Co-Co-Authors all top 5 Co-Authors 11 single-authored 23 Han, Zhidong 18 Liu, Chein-Shan 15 Dong, Leiting 12 Okada, Hiroshi 10 Shen, Shengping 10 Sladek, Jan 10 Sladek, Vladimir 9 Iura, Masashi 8 Cai, Yongchang 8 Dai, Honghua 8 Zhu, Tulong 6 Paik, Jeom Kee 6 Reed, Kenneth W. 6 Zhang, Jindong 5 Chow, W. T. 5 Kobayashi, Albert S. 5 Kondoh, K. 5 Rajiyah, Harindra 5 Rhee, H. Chong 5 Wang, Xuechuan 4 Alotaibi, Abdullah M. 4 Im, Seyoung 4 Kim, Taehyoun 4 Li, Qiuzhan 4 Nakagaki, Michihiko 4 Nikishkov, Gennadiy P. 4 O’Donoghue, P. E. 4 Punch, Edward F. 4 Rajendran, A. M. 4 Watanabe, Osamu 3 Avila, Rubén 3 Beom, Hyeon Gyu 3 Bishay, Peter L. 3 Borri, Marco 3 Bratianu, Constantin 3 Fitzgerald, J. E. 3 Grannell, James J. 3 Huang, Baozong 3 Jarak, Tomislav 3 Mello, Frank J. 3 Naganarayana, B. P. 3 Park, Jai Hak 3 Quinlan, P. M. 3 Sorić, Jurica 3 Tang, Dalin 3 Toi, Yutaka 3 Xue, Weimin 3 Yang, Chun 3 Yeih, Weichung 3 Yue, Xiaokui 3 Zhang, Tao 2 Abbasbandy, Saeid 2 Brust, F. W. 2 Cazzani, Antonio M. 2 Elgohary, Tarek A. 2 Junkins, John L. 2 Karamanlidis, Dimitrios 2 Kathiresan, K. 2 Li, Shu 2 Pipkins, Daniel S. 2 Pyo, C.-R. 2 Quadrelli, B. M. 2 Schnoor, Matt 2 Seki, Wataru 2 Shivanian, Elyas 2 Suetake, Yoshitaka 2 Tanaka, Kikuaki 2 Vijayakumar, Kaza 2 Yang, Chientung 2 Ying, Longan 2 Yuan, Jianping 1 AL-Jizani, Khalid Hammood 1 Amos, Anthony K. 1 Canton, Gador 1 Deak, A. L. 1 Freund, Lambert B. 1 Fukuchi, N. 1 Gallagher, Richard Hugo 1 Garusi, E. 1 Haghighi, Donya 1 Hanagud, Sathya V. 1 Hatsukami, Thomas S. 1 He, Shuangxin 1 He, Yiqian 1 Hong, Hong-Ki 1 Jones, Rhys Price 1 Karlovitz, Les Andrew 1 Kerwin, William S. 1 Kobashi, Makoto 1 Kuang, Zhenbang 1 Kuo, Chung-Lun 1 Le-The, Hung 1 Lee, Haengsoo 1 Ling, Xianwu 1 Long, Shuyao 1 Long, Xinjun 1 Mohiuddine, Syed Abdul 1 Newman, James C. jun. 1 Noor, Ahmed Khairy 1 Ogiso, T. ...and 38 more Co-Authors all top 5 Serials 84 CMES. Computer Modeling in Engineering & Sciences 47 Computational Mechanics 23 Computers and Structures 13 AIAA Journal 13 International Journal for Numerical Methods in Engineering 12 International Journal of Plasticity 10 Engineering Analysis with Boundary Elements 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Applied Mechanics 7 Finite Elements in Analysis and Design 5 International Journal of Solids and Structures 4 Applied Mathematical Modelling 4 CMC. Computers, Materials, and Continua 3 Communications in Nonlinear Science and Numerical Simulation 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 1 Acta Mechanica 1 IMA Journal of Applied Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Sound and Vibration 1 Applied Mathematics and Mechanics. (English Edition) 1 Prikladnaya Mekhanika 1 Advances in Computational Mathematics 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Tsinghua Science and Technology 1 European Journal of Mechanics. A. Solids 1 Engineering Computations 1 AMD-Volumes 1 Mechanics and Mathematical Methods. First Series: Computational Methods in Mechanics 1 Springer Tracts in Mechanical Engineering all top 5 Fields 237 Mechanics of deformable solids (74-XX) 85 Numerical analysis (65-XX) 22 Fluid mechanics (76-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 General and overarching topics; collections (00-XX) 6 Partial differential equations (35-XX) 6 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 226 Publications have been cited 3,803 times in 2,091 Documents Cited by ▼ Year ▼ A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Zbl 0932.76067Atluri, S. N.; Zhu, T. 762 1998 The meshless local Petrov-Galerkin (MLPG) method. Zbl 1012.65116Atluri, Satya N.; Shen, Shengping 197 2002 A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Zbl 0920.76054Zhu, T.; Zhang, J.-D.; Atluri, S. N. 178 1998 The meshless method (MLPG) for domain & BIE discretizations. Zbl 1105.65107Atluri, Satya N. 156 2004 The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element and boundary element methods. Zbl 0996.65116Atluri, Satya N.; Shen, Shengping 147 2002 A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method. Zbl 0947.74080Zhu, T.; Atluri, S. N. 143 1998 A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods. Zbl 0977.74593Atluri, S. N.; Kim, H.-G.; Cho, J. Y. 131 1999 The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Zbl 0976.74078Atluri, S. N.; Zhu, T.-L. 111 2000 New concepts in meshless methods. Zbl 0988.74075Atluri, S. N.; Zhu, Tulong 82 2000 Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations. Zbl 0968.74079Atluri, S. N.; Cho, J. Y.; Kim, H.-G. 65 1999 Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties. Zbl 0961.74073Sladek, J.; Sladek, V.; Atluri, S. N. 62 2000 The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Zbl 1020.74048Atluri, S. N.; Sladek, J.; Sladek, V.; Zhu, T. 61 2000 A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Zbl 0924.65105Zhu, T.; Zhang, J.; Atluri, S. N. 57 1998 A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate. Zbl 1147.74414Long, Shuyao; Atluri, S. N. 43 2002 Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium. Zbl 1084.80002Sladek, J.; Sladek, V.; Atluri, S. N. 39 2004 A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and nonlinear boundary value problems. Zbl 0957.74077Zhu, Tulong; Zhang, Jindong; Atluri, S. N. 39 1999 Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells. I. Theory. Zbl 0524.73043Atluri, Satya N. 36 1984 Calculation of fracture mechanics parameters for an arbitrary three- dimensional crack, by the ‘equivalent domain integral’ method. Zbl 0625.73118Nikishkov, G. P.; Atluri, S. N. 35 1987 On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening. Zbl 0571.73001Atluri, Satya N. 35 1984 The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N. 31 2008 Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method. Zbl 1352.65569Liu, Chein-Shan; Atluri, Satya N. 29 2013 A new implementation of the meshless finite volume method, through the MLPG “mixed” approach. Zbl 1151.74424Atluri, S. N.; Han, Z. D.; Rajendran, A. M. 28 2004 On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams. Zbl 0666.73015Iura, M.; Atluri, S. N. 26 1988 Analysis of transient heat conduction in 3D anisotropic functionally graded solids, by the MLPG method. Zbl 1232.80006Sladek, J.; Sladek, V.; Tan, C. L.; Atluri, S. N. 25 2008 Meshless local Petrov-Galerkin method in anisotropic elasticity. Zbl 1082.74059Sladek, J.; Sladek, V.; Atluri, S. N. 24 2004 Analysis of materials with strain-gradient effects: a meshless local Petrov-Galerkin (MLPG) approach, with nodal displacements only. Zbl 1148.74346Tang, Z.; Shen, S.; Atluri, S. N. 24 2003 Formulation of a membrane finite element with drilling degrees of freedom. Zbl 0761.73109Iura, M.; Atluri, S. N. 24 1992 Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes. Zbl 0773.73085Cazzani, A.; Atluri, S. N. 23 1993 On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner’s variational principle. Zbl 0597.73072Xue, W.-M.; Karlovitz, L. A.; Atluri, S. N. 22 1985 Variational approaches for dynamics and time-finite-elements: Numerical studies. Zbl 0717.73098Borri, M.; Mello, F.; Atluri, S. N. 21 1990 A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. Zbl 1060.74069Sladek, J.; Sladek, V.; Atluri, S. N. 21 2001 Numerical integration of singularities in meshless implementation of local boundary integral equations. Zbl 0973.74086Sladek, V.; Sladek, J.; Atluri, S. N.; Van Keer, R. 20 2000 Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear systems. Zbl 1231.65071Liu, Chein-Shan; Hong, Hong-Ki; Atluri, Satya N. 20 2010 Objectivity of incremental constitutive relations over finite time steps in computational finite deformation analysis. Zbl 0486.73081Rubinstein, R.; Atluri, S. N. 19 1983 An analysis of, and remedies for, kinematic modes in hybrid-stress finite elements: selection of stable, invariant stress fields. Zbl 0519.73070Rubinstein, R.; Punch, E. F.; Atluri, S. N. 18 1983 A novel displacement gradient boundary element method for elastic stress analysis with high accuracy. Zbl 0677.73057Okada, H.; Rajiyah, H.; Atluri, S. N. 18 1988 Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MLPG) method. Zbl 1147.65326Kim, H.-G.; Atluri, S. N. 18 2000 Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity. Zbl 1108.74387Li, Q.; Shen, S.; Han, Z. D.; Atluri, S. N. 18 2003 The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method. Zbl 1067.65120Atluri, Satya N.; Shen, Shengping 17 2005 Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elastostatics. Zbl 1087.74654Han, Z. D.; Atluri, S. N. 17 2004 Computational methods in the mechanics of fracture. Zbl 0651.73044 17 1986 Dynamic analysis of finitely stretched and rotated three-dimensional space-curved beams. Zbl 0666.73044Iura, M.; Atluri, S. N. 17 1988 Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements. Zbl 0535.73057Punch, E. F.; Atluri, S. N. 17 1984 Constitutive modeling and computational implementation for finite strain plasticity. Zbl 0612.73050Reed, Kenneth W.; Atluri, Satya N. 16 1985 Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. Zbl 1357.74079Atluri, S. N.; Liu, H. T.; Han, Z. D. 16 2006 On the evaluation of hyper-singular integrals arising in the boundary element method for linear elasticity. Zbl 0733.73066Chien, C. C.; Rajiyah, H.; Atluri, S. N. 15 1991 A novel time integration method for solving a large system of non-linear algebraic equations. Zbl 1152.65428Liu, Chein-Shan; Atluri, Satya N. 15 2008 Analysis of shear flexible beams, using the meshless local Petrov-Galerkin method, based on a locking-free formulation. Zbl 1015.74077Cho, J. Y.; Atluri, S. N. 15 2001 Primal and mixed forms of Hamilton’s principle for constrained rigid body systems: Numerical studies. Zbl 0739.70010Borri, M.; Mello, F.; Atluri, S. N. 15 1991 A four-node hybrid assumed-strain finite element for laminated composite plates. Zbl 1160.74409Cazzani, A.; Garusi, E.; Tralli, A.; Atluri, S. N. 14 2005 Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. Zbl 1108.74385Atluri, S. N.; Han, Z. D.; Shen, S. 14 2003 Finite elasticity solutions using hybrid finite elements based on a complementary energy principle. Zbl 0392.73038Murakawa, H.; Atluri, S. N. 14 1978 Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates. Zbl 1075.74083Sorić, J.; Li, Q.; Jarak, T.; Atluri, S. N. 13 2004 On the formulation of variational theorems involving volume constraints. Zbl 0717.73099Atluri, S. N.; Reissner, E. 13 1989 A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics. Zbl 1181.74152Han, Z. D.; Atluri, S. N. 13 2004 A highly accurate technique for interpolations using very high-order polynomials, and its applications to some ill-posed linear problems. Zbl 1232.65021Liu, Chein-Shan; Atluri, Satya N. 13 2009 Dynamic analysis of planar flexible beams with finite rotations by using inertial and rotating frames. Zbl 0920.73118Iura, M.; Atluri, S. N. 13 1995 Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. Zbl 1357.74074Atluri, S. N.; Liu, H. T.; Han, Z. D. 13 2006 A locking-free meshless local Petrov-Galerkin formulation for thick and thin plates. Zbl 1115.74369Li, Q.; Soric, J.; Jarak, T.; Atluri, S. N. 12 2005 Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. Zbl 1232.74117Han, Z. D.; Rajendran, A. M.; Atluri, S. N. 12 2005 Finite elasticity solutions using hybrid finite elements based on a complementary energy principle. II. Incompressible materials. Zbl 0404.73075Murakawa, H.; Atluri, S. N. 12 1979 Computational methods in engineering: a variety of primal & mixed methods, with global & local interpolations, for well-posed or ill-posed BCs. Zbl 1356.65194Dong, L.; Alotaibi, A.; Mohiuddine, S. A.; Atluri, S. N. 12 2014 On solving the ill-conditioned system \(Ax=b\): general-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales. Zbl 1357.65246Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N. 12 2009 Effects of a piezo-actuator on a finitely deformed beam subjected to general loading. Zbl 0705.73061Im, Seyoung; Atluri, S. N. 11 1989 An embedded elliptical crack, in an infinite solid, subject to arbitrary crack-face tractions. Zbl 0463.73094Vijayakumar, K.; Atluri, S. N. 11 1981 On the hybrid stress finite element model for incremental analysis of large deflection problems. Zbl 0265.73037Atluri, Satyanadham 11 1973 Effect of electric fields on fracture behavior of ferroelectric ceramics. Zbl 1145.74398Beom, H. G.; Atluri, S. N. 11 2003 Elasto-plastic large deformation analysis of space-frames: A plastic- hinge and stress-based explicit derivation of tangent stiffnesses. Zbl 0635.73053Shi, G.; Atluri, S. N. 11 1988 A simple collocation scheme for obtaining the periodic solutions of the Duffing equation, and its equivalence to the high dimensional harmonic balance method: subharmonic oscillations. Zbl 1356.65193Dai, Hong-Hua; Schnoor, Matt; Atluri, Satya N. 11 2012 A fictitious time integration method for the numerical solution of the Fredholm integral equation and for numerical differentiation of noisy data, and its relation to the filter theory. Zbl 1357.65070Liu, Chein-Shan; Atluri, Satya N. 11 2009 A study of two finite strain plasticity models: An internal time theory using Mandel’s director concept, and a general isotropic/kinematic- hardening theory. Zbl 0633.73051Im, S.; Atluri, S. N. 10 1987 A boundary/interior element method for quasi-static and transient response analysis of shallow shells. Zbl 0594.73092Zhang, Jin-Dong; Atluri, S. N. 10 1986 Non-hyper-singular integral-representations for velocity (displacement) gradients in elastic/plastic solids (small or finite deformations). Zbl 0668.73040Okada, H.; Rajiyah, H.; Atluri, S. N. 10 1989 Application of the local boundary integral equation method to boundary-value problems. Zbl 1094.74559Sladek, J.; Sladek, V.; Atluri, S. N. 10 2002 Nonlinear vibrations of a hinged beam including nonlinear inertia effects. Zbl 0263.73034Atluri, S. 10 1973 The applications of meshless local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems. Zbl 1357.74044Han, Z. D.; Liu, H. T.; Rajendran, A. M.; Atluri, S. N. 10 2006 Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses. Zbl 0614.73039Kondoh, K.; Atluri, S. N. 9 1987 A full tangent stiffness field-boundary-element formulation for geometric and material nonlinear problems of solid mechanics. Zbl 0729.73248Okada, H.; Rajiyah, H.; Atluri, S. N. 9 1990 Effects of piezoelectric sensor/actuator debonding on vibration control of smart beams. Zbl 1043.74033Sun, Dongchang; Tong, Liyong; Atluri, Satya N. 9 2001 On hybrid finite element models in nonlinear solid mechanics. Zbl 0407.73038Atluri, S. N.; Murakawa, H. 9 1978 Dependence of stress on elastic constants in an anisotropic bimaterial under plane deformation; and the interfacial crack. Zbl 0852.73010Beom, H. G.; Atluri, S. N. 9 1995 Multiscale simulation based on the meshless local Petrov-Galerkin (MLPG) method. Zbl 1161.74524Shen, Shengping; Atluri, S. N. 8 2004 Internal time, general internal variable, and multi-yield-surface theories of plasticity and creep: A unification of concepts. Zbl 0618.73038Watanabe, O.; Atluri, S. N. 8 1986 Numerical modeling of dynamic crack propagation in finite bodies, by moving singular elements. II: Results. Zbl 0441.73132Nishioka, T.; Atluri, S. N. 8 1980 Analysis of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm. Zbl 0505.73045Reed, K. W.; Atluri, S. N. 7 1983 Active control of nonlinear dynamic response of space-frames using piezo- electric actuators. Zbl 0714.73056Shi, G.; Atluri, S. N. 7 1990 Numerical modeling of dynamic crack propagation in finite bodies, by moving singular elements. I: Formulation. Zbl 0441.73131Nishioka, T.; Atluri, S. N. 7 1980 A quasi-conforming triangular laminated composite shell element based on a refined first-order theory. Zbl 0790.73067Huang, Bao-Zong; Shenoy, Vijay B.; Atluri, S. N. 7 1994 Calculation of stress intensity factors for an interfacial crack between dissimilar anisotropic media, using a hybrid element method and the mutual integral. Zbl 0852.73057Chow, W. T.; Beom, H. G.; Atluri, S. N. 7 1995 Truly meshless local Petrov-Galerkin (MLPG) solutions of traction and displacement BIEs. Zbl 1064.74175Han, Z. D.; Atluri, S. N. 6 2003 Post-buckling analysis of shallow shells by the field-boundary-element method. Zbl 0633.73052Zhang, J. D.; Atluri, S. N. 6 1988 A simplified finite element method for large deformation, post-buckling analyses of large frame structures, using explicitly derived tangent stiffness matrices. Zbl 0578.73065Kondoh, K.; Atluri, S. N. 6 1986 A new endochronic approach to computational elastoplasticity: Example of a cyclically loaded cracked plate. Zbl 0587.73044Watanabe, O.; Atluri, S. N. 6 1985 Finite element calculation of stress intensity factors for interfacial crack using virtual crack closure integral. Zbl 0846.73060Chow, W. T.; Atluri, S. N. 6 1995 Atomic-level stress calculation and continuum-molecular system equivalence. Zbl 1156.74302Shen, Shengping; Atluri, S. N. 6 2004 A perturbation analysis of non-linear free flexural vibrations of a circular cylindrical shell. Zbl 0266.73053Atluri, Satyanadham 6 1972 A scalar homotopy method for solving an over/under-determined system of non-linear algebraic equations. Zbl 1231.65096Liu, Chein-Shan; Yeih, Weichung; Kuo, Chung-Lun; Atluri, Satya N. 6 2009 Numerical solution of non-steady flows, around surfaces in spatially and temporally arbitrary motions, by using the MLPG method. Zbl 1231.76067Avila, R.; Atluri, S. N. 6 2009 Applications of isoparametric three-dimensional hybrid-stress finite elements with least-order stress fields. Zbl 0552.73062Punch, E. F.; Atluri, S. N. 6 1984 T-Trefftz Voronoi cell finite elements with elastic/rigid inclusions or voids for micromechanical analysis of composite and porous materials. Zbl 1356.74199Dong, L.; Atluri, S. N. 6 2012 Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions. Zbl 1464.65192Abbasbandy, Saeid; Shivanian, Elyas; AL-Jizani, Khalid Hammood; Atluri, Satya N. 1 2021 Combination of the variational iteration method and numerical algorithms for nonlinear problems. Zbl 1481.65114Wang, Xuechuan; Xu, Qiuyi; Atluri, Satya N. 2 2020 A new fragile points method (FPM) in computational mechanics, based on the concepts of point stiffnesses and numerical flux corrections. Zbl 1464.65278Dong, Leiting; Yang, Tian; Wang, Kailei; Atluri, Satya N. 3 2019 A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics. Zbl 1403.74011Wang, Guannan; Dong, Leiting; Atluri, Satya N. 2 2018 A novel class of highly efficient and accurate time-integrators in nonlinear computational mechanics. Zbl 1398.65195Wang, Xuechuan; Atluri, Satya N. 2 2017 Computational piezo-grains (CPGs) for a highly-efficient micromechanical modeling of heterogeneous piezoelectric-piezomagnetic composites. Zbl 1406.74209Bishay, Peter L.; Atluri, Satya N. 1 2015 Computational methods in engineering: a variety of primal & mixed methods, with global & local interpolations, for well-posed or ill-posed BCs. Zbl 1356.65194Dong, L.; Alotaibi, A.; Mohiuddine, S. A.; Atluri, S. N. 12 2014 Meshless local Petrov-Galerkin mixed collocation method for solving Cauchy inverse problems of steady-state heat transfer. Zbl 1356.80056Zhang, Tao; He, Yiqian; Dong, Leiting; Li, Shu; Alotaibi, Abdullah; Atluri, Satya N. 6 2014 A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity. Zbl 1349.76567Dai, Honghua; Yue, Xiaokui; Yuan, Jianping; Atluri, Satya N. 4 2014 On the (meshless local Petrov-Galerkin) MLPG-Eshelby method in computational finite deformation solid mechanics. II. Zbl 1357.74061Han, Z. D.; Atluri, S. N. 3 2014 Time domain inverse problems in nonlinear systems using collocation & radial basis functions. Zbl 1356.65180Elgohary, T. A.; Dong, L.; Junkins, J. L.; Atluri, S. N. 3 2014 A simple, fast, and accurate time-integrator for strongly nonlinear dynamical systems. Zbl 1356.65242Elgohary, T. A.; Dong, L.; Junkins, J. L.; Atluri, S. N. 3 2014 Multi-physics computational grains (MPCGs) for direct numerical simulation (DNS) of piezoelectric composite/porous materials and structures. Zbl 1311.74050Bishay, Peter L.; Dong, Leiting; Atluri, Satya N. 2 2014 Application of the Trefftz method, on the basis of Stroh formalism, to solve the inverse Cauchy problems of anisotropic elasticity in multiply connected domains. Zbl 1297.74170Zhang, Tao; Dong, Leiting; Alotaibi, Abdullah; Atluri, Satya N. 1 2014 Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method. Zbl 1352.65569Liu, Chein-Shan; Atluri, Satya N. 29 2013 A \(\mathrm{GL}(n,\mathbb R)\) differential algebraic equation method for numerical differentiation of noisy signal. Zbl 1356.93029Liu, Chein-Shan; Atluri, Satya N. 2 2013 Application of the MLPG mixed collocation method for solving inverse problems of linear isotropic/anisotropic elasticity with simply/multiply-connected domains. Zbl 1356.74079Zhang, Tao; Dong, Leiting; Alotaibi, Abdullah; Atluri, Satya N. 2 2013 A new implementation of the numerical manifold method (NMM) for the modeling of non-collinear and intersecting cracks. Zbl 1356.74248Cai, Y. C.; Wu, J.; Atluri, S. N. 1 2013 A simple collocation scheme for obtaining the periodic solutions of the Duffing equation, and its equivalence to the high dimensional harmonic balance method: subharmonic oscillations. Zbl 1356.65193Dai, Hong-Hua; Schnoor, Matt; Atluri, Satya N. 11 2012 T-Trefftz Voronoi cell finite elements with elastic/rigid inclusions or voids for micromechanical analysis of composite and porous materials. Zbl 1356.74199Dong, L.; Atluri, S. N. 6 2012 High-performance 3D hybrid/mixed, and simple 3D Voronoi cell finite elements, for macro- & micro-mechanical modeling of solids, without using multi-field variational principles. Zbl 1356.74149Bishay, P. L.; Atluri, S. N. 5 2012 A simple multi-source-point Trefftz method for solving direct/inverse SHM problems of plane elasticity in arbitrary multiply-connected domains. Zbl 1356.74018Dong, L.; Atluri, S. N. 5 2012 A new and simple meshless LBIE-RBF numerical scheme in linear elasticity. Zbl 1356.74256Sellountos, E. J.; Polyzos, D.; Atluri, S. N. 5 2012 SGBEM (Using non-hyper-singular traction BIE), and super elements, for non-collinear fatigue-growth analyses of cracks in stiffened panels with composite-patch repairs. Zbl 1356.74249Dong, Leiting; Atluri, Satya N. 3 2012 A globally optimal iterative algorithm using the best descent vector \(\dot{\mathbf x}=\lambda[\alpha_c{\mathbf F}+{\mathbf B}^{T}{\mathbf F}]\), with the critical value \(\alpha_c\), for solving a system of nonlinear algebraic equations \({\mathbf F}({\mathbf x})=\mathbf 0\). Zbl 1356.65137Liu, Chein-Shan; Atluri, Satya N. 2 2012 Laminated elastic plates with piezoelectric sensors and actuators. Zbl 1356.74124Sladek, J.; Sladek, V.; Stanak, P.; Wen, P. H.; Atluri, S. N. 2 2012 Simple “residual-norm” based algorithms, for the solution of a large system of non-linear algebraic equations, which converge faster than the Newton’s method. Zbl 1231.65092Liu, Chein-Shan; Atluri, Satya N. 4 2011 Development of T-Trefftz four-node quadrilateral and Voronoi cell finite elements for macro- & micromechanical modeling of solids. Zbl 1356.74198Dong, L.; Atluri, S. N. 3 2011 A simple locking-free discrete shear triangular plate element. Zbl 1356.74193Cai, Y. C.; Tian, L. G.; Atluri, S. N. 2 2011 The global nonlinear Galerkin method for the solution of von Kármán nonlinear plate equations: an optimal and faster iterative method for the direct solution of nonlinear algebraic equations \(\mathbf F(x) = 0\), using \(\mathbf{\dot{x}} = \lambda[\alpha \mathbf{F}+(1-\alpha)\mathbf{B^{T}}\mathbf{F}]\). Zbl 1284.74139Dai, Hong-Hua; Paik, Jeom Kee; Atluri, S. N. 1 2011 A novel MLPG-finite-volume mixed method for analyzing Stokesian flows & study of a new vortex mixing flow. Zbl 1231.76173Avila, Ruben; Han, Zhidong; Atluri, Satya N. 1 2011 An iterative algorithm for solving a system of nonlinear algebraic equations, \(F(x)=0\), using the system of ODEs with an optimum \(a\) in \(dx/dt=l[aF+(1-a)B^{T}F];~B_{ij}=dF_{i}/dx_{j}\). Zbl 1231.65093Liu, Chein-Shan; Atluri, Satya N. 1 2011 Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear systems. Zbl 1231.65071Liu, Chein-Shan; Hong, Hong-Ki; Atluri, Satya N. 20 2010 An iterative and adaptive Lie-group method for solving the Calderón inverse problem. Zbl 1231.78039Liu, Chein-Shan; Atluri, Satya N. 5 2010 An enhanced fictitious time integration method for non-linear algebraic equations with multiple solutions: boundary layer, boundary value and eigenvalue problems. Zbl 1231.65136Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N. 4 2010 Three-dimensional carotid plaque progression simulation using meshless generalized finite difference method based on multi-year MRI patient-tracking data. Zbl 1231.74474Yang, Chun; Tang, Dalin; Atluri, Satya 1 2010 A highly accurate technique for interpolations using very high-order polynomials, and its applications to some ill-posed linear problems. Zbl 1232.65021Liu, Chein-Shan; Atluri, Satya N. 13 2009 On solving the ill-conditioned system \(Ax=b\): general-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales. Zbl 1357.65246Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N. 12 2009 A fictitious time integration method for the numerical solution of the Fredholm integral equation and for numerical differentiation of noisy data, and its relation to the filter theory. Zbl 1357.65070Liu, Chein-Shan; Atluri, Satya N. 11 2009 A scalar homotopy method for solving an over/under-determined system of non-linear algebraic equations. Zbl 1231.65096Liu, Chein-Shan; Yeih, Weichung; Kuo, Chung-Lun; Atluri, Satya N. 6 2009 Numerical solution of non-steady flows, around surfaces in spatially and temporally arbitrary motions, by using the MLPG method. Zbl 1231.76067Avila, R.; Atluri, S. N. 6 2009 General approaches on formulating weakly-singular BIEs for PDEs. Zbl 1161.65371Han, Z. D.; Atluri, S. N. 1 2009 The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N. 31 2008 Analysis of transient heat conduction in 3D anisotropic functionally graded solids, by the MLPG method. Zbl 1232.80006Sladek, J.; Sladek, V.; Tan, C. L.; Atluri, S. N. 25 2008 A novel time integration method for solving a large system of non-linear algebraic equations. Zbl 1152.65428Liu, Chein-Shan; Atluri, Satya N. 15 2008 A fictitious time integration method (FTIM) for solving mixed complementarity problems with applications to non-linear optimization. Zbl 1232.90334Liu, Chein-Shan; Atluri, Satya N. 5 2008 A novel fictitious time integration method for solving the discretized inverse Sturm-Liouville problems, for specified eigenvalues. Zbl 1232.74007Liu, Chein-Shan; Atluri, Satya N. 4 2008 Topology-optimization of structures based on the MLPG mixed collocation method. Zbl 1232.74081Li, Shu; Atluri, S. N. 3 2008 Modeling of intelligent material systems by the MLPG. Zbl 1232.74013Sladek, J.; Sladek, V.; Solek, P.; Atluri, S. N. 2 2008 A systematic approach for the development of weakly-singular bies. Zbl 1232.65159Han, Z. D.; Atluri, S. N. 1 2007 Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. Zbl 1357.74079Atluri, S. N.; Liu, H. T.; Han, Z. D. 16 2006 Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. Zbl 1357.74074Atluri, S. N.; Liu, H. T.; Han, Z. D. 13 2006 The applications of meshless local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems. Zbl 1357.74044Han, Z. D.; Liu, H. T.; Rajendran, A. M.; Atluri, S. N. 10 2006 Computational modeling of impact response with the RG damage model and the meshless local Petrov-Galerkin (MLPG) approaches. Zbl 1231.74427Liu, H. T.; Han, Z. D.; Rajendran, A. M.; Atluri, S. N. 3 2006 Stability analysis for inverse heat conduction problems. Zbl 1232.65145Ling, Xianwu; Atluri, S. N. 2 2006 The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method. Zbl 1067.65120Atluri, Satya N.; Shen, Shengping 17 2005 A four-node hybrid assumed-strain finite element for laminated composite plates. Zbl 1160.74409Cazzani, A.; Garusi, E.; Tralli, A.; Atluri, S. N. 14 2005 A locking-free meshless local Petrov-Galerkin formulation for thick and thin plates. Zbl 1115.74369Li, Q.; Soric, J.; Jarak, T.; Atluri, S. N. 12 2005 Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. Zbl 1232.74117Han, Z. D.; Rajendran, A. M.; Atluri, S. N. 12 2005 Simulation of a \(4^{th}\) order ODE: illustration of various primal & mixed MLPG methods. Zbl 1119.65359Atluri, S. N.; Shen, Shengping 4 2005 The meshless method (MLPG) for domain & BIE discretizations. Zbl 1105.65107Atluri, Satya N. 156 2004 Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium. Zbl 1084.80002Sladek, J.; Sladek, V.; Atluri, S. N. 39 2004 A new implementation of the meshless finite volume method, through the MLPG “mixed” approach. Zbl 1151.74424Atluri, S. N.; Han, Z. D.; Rajendran, A. M. 28 2004 Meshless local Petrov-Galerkin method in anisotropic elasticity. Zbl 1082.74059Sladek, J.; Sladek, V.; Atluri, S. N. 24 2004 Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elastostatics. Zbl 1087.74654Han, Z. D.; Atluri, S. N. 17 2004 Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates. Zbl 1075.74083Sorić, J.; Li, Q.; Jarak, T.; Atluri, S. N. 13 2004 A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics. Zbl 1181.74152Han, Z. D.; Atluri, S. N. 13 2004 Multiscale simulation based on the meshless local Petrov-Galerkin (MLPG) method. Zbl 1161.74524Shen, Shengping; Atluri, S. N. 8 2004 Atomic-level stress calculation and continuum-molecular system equivalence. Zbl 1156.74302Shen, Shengping; Atluri, S. N. 6 2004 Directly derived non-hyper-singular boundary integral equations for acoustic problems, and their solution through Petrov-Galerkin schemes. Zbl 1357.76054Qian, Z. Y.; Han, Z. D.; Atluri, S. N. 4 2004 Non-hyper-singular boundary integral equations for acoustic problems, implemented by the collocation-based boundary element method. Zbl 1087.76535Qian, Z. Y.; Han, Z. D.; Ufimtsev, P.; Atluri, S. N. 2 2004 Analysis of materials with strain-gradient effects: a meshless local Petrov-Galerkin (MLPG) approach, with nodal displacements only. Zbl 1148.74346Tang, Z.; Shen, S.; Atluri, S. N. 24 2003 Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity. Zbl 1108.74387Li, Q.; Shen, S.; Han, Z. D.; Atluri, S. N. 18 2003 Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. Zbl 1108.74385Atluri, S. N.; Han, Z. D.; Shen, S. 14 2003 Effect of electric fields on fracture behavior of ferroelectric ceramics. Zbl 1145.74398Beom, H. G.; Atluri, S. N. 11 2003 Truly meshless local Petrov-Galerkin (MLPG) solutions of traction and displacement BIEs. Zbl 1064.74175Han, Z. D.; Atluri, S. N. 6 2003 On simple formulations of weakly-singular traction and displacement BIE, and their solutions through Petrov-Galerkin approaches. Zbl 1148.74342Han, Z. D.; Atluri, S. N. 2 2003 Accuracy of co-rotational formulation for 3-D Timoshenko’s beam. Zbl 1043.74523Iura, M.; Suetake, Y.; Atluri, S. N. 2 2003 Variational formulation and symmetric tangent operator for shells with finite rotation field. Zbl 1043.74515Suetake, Yoshitaka; Iura, Masashi; Atluri, S. N. 1 2003 The meshless local Petrov-Galerkin (MLPG) method. Zbl 1012.65116Atluri, Satya N.; Shen, Shengping 197 2002 The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element and boundary element methods. Zbl 0996.65116Atluri, Satya N.; Shen, Shengping 147 2002 A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate. Zbl 1147.74414Long, Shuyao; Atluri, S. N. 43 2002 Application of the local boundary integral equation method to boundary-value problems. Zbl 1094.74559Sladek, J.; Sladek, V.; Atluri, S. N. 10 2002 SGBEM (for cracked local subdomain) – FEM (for uncracked global structure) alternating method for analyzing 3D surface cracks and their fatigue growth. Zbl 1151.74425Han, Z. D.; Atluri, S. N. 4 2002 Computational nanotechnology: A current perspective. Zbl 1025.74504Srivastava, Deepak; Atluri, Satya N. 2 2002 A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. Zbl 1060.74069Sladek, J.; Sladek, V.; Atluri, S. N. 21 2001 Analysis of shear flexible beams, using the meshless local Petrov-Galerkin method, based on a locking-free formulation. Zbl 1015.74077Cho, J. Y.; Atluri, S. N. 15 2001 Effects of piezoelectric sensor/actuator debonding on vibration control of smart beams. Zbl 1043.74033Sun, Dongchang; Tong, Liyong; Atluri, Satya N. 9 2001 A consistent theory of finite stretches and finite rotations, in space-curved beams of arbitrary cross-section. Zbl 1011.74041Atluri, S. N.; Iura, M.; Vasudevan, S. 5 2001 SGBEM-FEM alternating method for analyzing 3D non-planar cracks and their growth in structural components. Zbl 1074.74641Nikishkov, G. P.; Park, J. H.; Atluri, S. N. 4 2001 The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Zbl 0976.74078Atluri, S. N.; Zhu, T.-L. 111 2000 New concepts in meshless methods. Zbl 0988.74075Atluri, S. N.; Zhu, Tulong 82 2000 Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties. Zbl 0961.74073Sladek, J.; Sladek, V.; Atluri, S. N. 62 2000 The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Zbl 1020.74048Atluri, S. N.; Sladek, J.; Sladek, V.; Zhu, T. 61 2000 Numerical integration of singularities in meshless implementation of local boundary integral equations. Zbl 0973.74086Sladek, V.; Sladek, J.; Atluri, S. N.; Van Keer, R. 20 2000 Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MLPG) method. Zbl 1147.65326Kim, H.-G.; Atluri, S. N. 18 2000 A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods. Zbl 0977.74593Atluri, S. N.; Kim, H.-G.; Cho, J. Y. 131 1999 Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations. Zbl 0968.74079Atluri, S. N.; Cho, J. Y.; Kim, H.-G. 65 1999 A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and nonlinear boundary value problems. Zbl 0957.74077Zhu, Tulong; Zhang, Jindong; Atluri, S. N. 39 1999 Mixed variational principles in space and time for elastodynamics analysis. Zbl 0939.74010Quadrelli, M. B.; Atluri, S. N. 3 1999 ...and 126 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,764 Authors 54 Liu, Chein-Shan 53 Atluri, Satya N. 49 Sladek, Jan 49 Sladek, Vladimir 45 Dehghan Takht Fooladi, Mehdi 43 Liu, Gui-Rong 31 Wen, Pihua 30 Zhang, Chuanzeng 26 Liew, Kim Meow 26 Shivanian, Elyas 21 Li, Xiaolin 20 Gu, Yuantong 19 Abbasbandy, Saeid 18 Mirzaei, Davoud 18 Wang, Dongdong 15 Belinha, Jorge 15 Chen, Wen 15 Šarler, Božidar 14 Beom, Hyeon Gyu 14 Li, Guangyao 13 Chen, Jiun-Shyan 12 Augarde, Charles Edward 12 Belytschko, Ted Bohdan 12 Cheng, Yumin 12 Gao, Xiaowei 12 Hon, Yiu-Chung 12 Long, Shuyao 12 Mikhailov, Sergey E. 12 Natal Jorge, Renato Manuel 12 Qu, Wenzhen 12 Sze, Kam-Yim 12 Zhang, GuiYong 11 Afshar, Mohammad Hadi 11 Bourantas, George C. 11 Fan, Chia-Ming 11 Gu, Yan 11 Schaback, Robert 10 Batra, Romesh C. 10 Khoei, Amir R. 10 Lin, Ji 10 Mukherjee, Subrata 10 Salehi, Rezvan 10 Yang, Kai 9 Chen, Shenshen 9 Cheng, Rongjun 9 Dinis, Lúcia M. J. 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I. 7 Feng, Xiating 7 Fu, Zhuojia 7 Kim, Hyun-Gyu 7 Kostin, Georgy Viktorovich 7 Liu, Wing Kam 7 Loukopoulos, Vassilios C. 7 Milewski, Slawomir 7 Nguyen-Xuan, Hung 7 Okada, Hiroshi 7 Power, Henry 7 Zhang, Xiaohua 6 Aluru, Narayana R. 6 Assari, Pouria 6 Babuška, Ivo 6 Cazzani, Antonio M. 6 Dai, Kaiyu 6 Ding, Hang 6 Enjilela, Vali 6 Gray, Leonard J. 6 Hu, Dean 6 Joldes, Grand Roman 6 Kovářik, Karel 6 Li, Hua 6 Li, Ming ...and 2,664 more Authors all top 5 Cited in 140 Serials 458 Engineering Analysis with Boundary Elements 270 Computer Methods in Applied Mechanics and Engineering 200 Computational Mechanics 162 International Journal for Numerical Methods in Engineering 65 Acta Mechanica 61 Applied Mathematical Modelling 61 International Journal of Computational Methods 60 Applied Mathematics and Computation 42 Computers & Mathematics with Applications 40 Mathematical Problems in Engineering 35 Journal of Computational Physics 34 European Journal of Mechanics. A. 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