CMES. Computer Modeling in Engineering & Sciences Short Title: CMES, Comput. Model. Eng. Sci. Publisher: Tech Science Press, Encino, CA ISSN: 1526-1492; 1526-1506/e Online: http://www.techscience.com/cmes/ Comments: Journal; No longer indexed Documents Indexed: 1,270 Publications (2000–2014) all top 5 Latest Issues 103, No. 6 (2014) 103, No. 5 (2014) 103, No. 4 (2014) 103, No. 3 (2014) 103, No. 2 (2014) 103, No. 1 (2014) 102, No. 6 (2014) 102, No. 5 (2014) 102, No. 4 (2014) 102, No. 3 (2014) 102, No. 2 (2014) 102, No. 1 (2014) 101, No. 6 (2014) 101, No. 5 (2014) 101, No. 4 (2014) 101, No. 3 (2014) 101, No. 2 (2014) 101, No. 1 (2014) 100, No. 6 (2014) 100, No. 5 (2014) 100, No. 4 (2014) 100, No. 3 (2014) 100, No. 2 (2014) 100, No. 1 (2014) 99, No. 6 (2014) 99, No. 5 (2014) 99, No. 4 (2014) 99, No. 3 (2014) 99, No. 2 (2014) 99, No. 1 (2014) 98, No. 6 (2014) 98, No. 5 (2014) 98, No. 4 (2014) 98, No. 3 (2014) 98, No. 2 (2014) 98, No. 1 (2014) 97, No. 6 (2014) 97, No. 5 (2014) 97, No. 4 (2014) 97, No. 3 (2014) 97, No. 2 (2014) 97, No. 1 (2014) 96, No. 6 (2013) 96, No. 5 (2013) 96, No. 4 (2013) 96, No. 3 (2013) 96, No. 2 (2013) 96, No. 1 (2013) 95, No. 6 (2013) 95, No. 5 (2013) 95, No. 4 (2013) 95, No. 3 (2013) 95, No. 2 (2013) 95, No. 1 (2013) 94, No. 6 (2013) 94, No. 5 (2013) 94, No. 4 (2013) 94, No. 3 (2013) 94, No. 2 (2013) 94, No. 1 (2013) 93, No. 6 (2013) 93, No. 5 (2013) 93, No. 4 (2013) 93, No. 3 (2013) 93, No. 2 (2013) 93, No. 1 (2013) 92, No. 6 (2013) 92, No. 5 (2013) 92, No. 4 (2013) 92, No. 3 (2013) 92, No. 2 (2013) 92, No. 1 (2013) 91, No. 6 (2013) 91, No. 5 (2013) 91, No. 4 (2013) 91, No. 3 (2013) 91, No. 2 (2013) 91, No. 1 (2013) 90, No. 6 (2013) 90, No. 5 (2013) 90, No. 4 (2013) 90, No. 3 (2013) 90, No. 1 (2013) 89, No. 6 (2012) 89, No. 5 (2012) 89, No. 4 (2012) 89, No. 3 (2012) 89, No. 2 (2012) 89, No. 1 (2012) 88, No. 6 (2012) 88, No. 5 (2012) 88, No. 4 (2012) 88, No. 3 (2012) 88, No. 2 (2012) 88, No. 1 (2012) 87, No. 6 (2012) 87, No. 5 (2012) 87, No. 4 (2012) 87, No. 3 (2012) 87, No. 2 (2012) ...and 278 more Volumes all top 5 Authors 84 Atluri, Satya N. 72 Liu, Chein-Shan 28 Sladek, Vladimir 27 Sladek, Jan 26 Tran-Cong, Thanh 24 Mai-Duy, Nam 19 Han, Zhidong 14 Ferri Aliabadi, Mohammad Hossien 14 Yu, Dehao 11 Chen, Cha’o-Kuang 11 Soares, Delfim jun. 11 Yeih, Weichung 11 Zhang, Chuanzeng 10 Shiah, Yui- Chuin 9 Dong, Leiting 9 Shen, Shengping 9 Wen, Pihua 9 Young, Der-Liang 8 Akbarov, Surkay D. 8 Cai, Yongchang 8 Chang, Chih-Wen 8 Chen, Wen 8 Sellountos, Euripides J. 8 Yoshimura, Shinobu 7 Ku, Cheng-Yu 7 Li, Guangyao 7 Šarler, Božidar 7 Selvadurai, A. Patrick S. 7 Tran, Canh-Dung 6 Amrahov, Sahin Emrah 6 Balabel, Ashraf 6 Bourantas, George C. 6 Chen, Yiming 6 Duan, Junsheng 6 Kansa, Edward J. 6 Li, Jin 6 Solek, Peter 6 Tavares, João Manuel R. S. 6 Tsai, Chia-Cheng 6 Wang, Haitao 6 Wang, Lifeng 6 Wang, Michael Yu 6 Xiang, Jiawei 6 Yao, Zhenhan 6 Zhang, Xiong 5 Chandrasekhar, B. Obreakspace 5 El-Askary, Wageeh A. 5 Fan, Chia-Ming 5 Fatullayev, Afet Golayoglu 5 Kim, Seung Jo 5 Lin, Shueei Muh 5 Loukopoulos, Vassilios C. 5 Luo, Zhen 5 Mansur, Webe Joao 5 Mazzia, Annamaria 5 Miao, Yu 5 Mittal, Sanjay 5 Nicolás, Alfredo 5 Paik, Jeom Kee 5 Pini, Giorgio 5 Rabczuk, Timon 5 Sorić, Jurica 5 Tadeu, António J. B. 5 Tamma, Kumar K. 5 Wu, Chih-Ping 5 Yang, Yue-Tzu 5 Yi, Mingxu 5 Zhang, Jianming 4 António, Julieta M. P. 4 Avila, Rubén 4 Batra, Romesh C. 4 Bermúdez, Blanca 4 Brischetto, Salvatore 4 Carrer, José Antonio Marques 4 Chao, Ching-Kong 4 Chen, Haibo 4 Chen, Jeng-Tzong 4 Chen, Wenhwa 4 Dehghan Takht Fooladi, Mehdi 4 Emdadi, Arezoo 4 Fernandes Pereira, José Carlos 4 Gasilov, Nizami A. 4 Gravvanis, George A. 4 Hosseini, Seyed Mahmoud 4 Huang, Cheng-Hung 4 Jarak, Tomislav 4 Kakuda, Kazuhiko 4 Khoo, Boo Cheong 4 Lee, Sen Yung 4 Li, Xing 4 Libre, Nicolas Ali 4 Lim, Kian-Meng 4 Liu, Gui-Rong 4 Long, Shuyao 4 Ma, Yunpeng 4 Marin, Liviu 4 Matsumoto, Toshiro 4 Nie, Yufeng 4 Nikishkov, Gennadiy P. 4 Okada, Hiroshi ...and 1,752 more Authors all top 5 Fields 647 Numerical analysis (65-XX) 626 Mechanics of deformable solids (74-XX) 251 Fluid mechanics (76-XX) 69 Partial differential equations (35-XX) 53 Classical thermodynamics, heat transfer (80-XX) 49 Biology and other natural sciences (92-XX) 44 Optics, electromagnetic theory (78-XX) 34 Integral equations (45-XX) 34 Statistical mechanics, structure of matter (82-XX) 31 Operations research, mathematical programming (90-XX) 26 Ordinary differential equations (34-XX) 14 Mechanics of particles and systems (70-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Geophysics (86-XX) 9 Computer science (68-XX) 7 Probability theory and stochastic processes (60-XX) 7 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 827 Publications have been cited 4,882 times in 3,195 Documents Cited by ▼ Year ▼ The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element and boundary element methods. Zbl 0996.65116 Atluri, Satya N.; Shen, Shengping 154 2002 An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Zbl 1231.65178 Gu, Y. T.; Zhuang, P.; Liu, F. 61 2010 A meshless method using radial basis functions for the numerical solution of two-dimensional complex Ginzburg-Landau equation. Zbl 1357.65202 Shokri, Ali; Dehghan, Mehdi 51 2012 A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells. Zbl 1232.74099 Cui, X. Y.; Liu, G. R.; Li, G. Y.; Zhao, X.; Nguyen, T. T.; Sun, G. Y. 49 2008 Material point calculations with explicit cracks. Zbl 1064.74176 Nairn, J. A. 46 2003 A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate. Zbl 1147.74414 Long, Shuyao; Atluri, S. N. 44 2002 The method of fundamental solution for solving multidimensional inverse heat conduction problem. Zbl 1114.80004 Hon, C.; Wei, T. 42 2005 Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium. Zbl 1084.80002 Sladek, J.; Sladek, V.; Atluri, S. N. 40 2004 An improved contact algorithm for the material point method and application to stress propagation in granular material. Zbl 1147.74375 Bardenhagen, S. G.; Guilkey, J. E.; Roessig, K. M.; Brackhill, J. U.; Witzel, W. M.; Foster, J. C. 38 2001 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444 Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 36 2011 A modified Trefftz method for two-dimensional Laplace equation considering the domain’s characteristic length. Zbl 1232.65157 Liu, Chein-Shan 35 2007 Potential problems by singular boundary method satisfying moment condition. Zbl 1231.65245 Chen, Wen; Fu, Zhuojia; Wei, Xing 34 2009 A meshless local Petrov-Galerkin (MLPG) formulation for static and free vibration analysis of thin plates. Zbl 1102.74310 Gu, Y. T.; Liu, G. R. 34 2001 A modified method of fundamental solutions with source on the boundary for solving Laplace equations with circular and arbitrary domains. Zbl 1184.65116 Young, D. L.; Chen, K. H.; Chen, J. T.; Kao, J. H. 33 2007 PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization. Zbl 1075.74065 Wang, Michael Yu; Wang, Xiaoming 32 2004 Phase field: a variational method for structural topology optimization. Zbl 1152.74382 Wang, Michael Yu; Zhou, Shiwei 32 2004 A radial basis function collocation approach in computational fluid dynamics. Zbl 1189.76380 Šarler, B. 31 2005 Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200 Aland, S.; Lowengrub, J.; Voigt, A. 30 2010 A new implementation of the meshless finite volume method, through the MLPG “mixed” approach. Zbl 1151.74424 Atluri, S. N.; Han, Z. D.; Rajendran, A. M. 30 2004 Computational modelling of isotropic multiplicative growth. Zbl 1188.74059 Himpel, G.; Kuhl, E.; Menzel, A.; Steinmann, P. 29 2005 SPH in a total Lagrangian formalism. Zbl 1357.76072 Vignjevic, Rade; Reveles, Juan R.; Campbell, James 29 2006 Solution of incompressible turbulent flow by a mesh-free method. Zbl 1357.76030 Vertnik, R.; Sarler, B. 29 2009 Higher-order stress-strain theory for damage modeling implemented in an element-free Galerkin formulation. Zbl 1231.74023 Yang, Yang; Misra, Anil 28 2010 Meshless regular hybrid boundary node method. Zbl 0991.65129 Zhang, Jianming; Yao, Zhenhan 26 2001 Analysis of materials with strain-gradient effects: a meshless local Petrov-Galerkin (MLPG) approach, with nodal displacements only. Zbl 1148.74346 Tang, Z.; Shen, S.; Atluri, S. N. 26 2003 Analysis of transient heat conduction in 3D anisotropic functionally graded solids, by the MLPG method. Zbl 1232.80006 Sladek, J.; Sladek, V.; Tan, C. L.; Atluri, S. N. 25 2008 Meshless local Petrov-Galerkin method in anisotropic elasticity. Zbl 1082.74059 Sladek, J.; Sladek, V.; Atluri, S. N. 25 2004 Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh. Zbl 1356.65185 Das, Pratibhamoy; Natesan, Srinivasan 25 2013 On solving linear and nonlinear sixth-order two point boundary value problems via an elegant harmonic numbers operational matrix of derivatives. Zbl 1356.65190 Abd-Elhameed, W. M. 25 2014 The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. Zbl 1232.65108 Liu, Chein-Shan 23 2006 Simulation of high explosive explosion using adaptive material point method. Zbl 1257.76045 Ma, Shang; Zhang, Xiong; Lian, Yanping; Zhou, Xu 23 2009 A stabilized RBF collocation scheme for Neumann type boundary value problems. Zbl 1232.65156 Libre, Nicolas Ali; Emdadi, Arezoo; Kansa, Edward J.; Rahimian, Mohammad; Shekarchi, Mohammad 22 2008 Boundary layer effect in BEM with high order geometry elements using transformation. Zbl 1357.74072 Zhang, Y. M.; Gu, Y.; Chen, J. T. 22 2009 Particular solutions of Chebyshev polynomials for polyharmonic and poly-Helmholtz equations. Zbl 1232.65173 Tsai, Chia-Cheng 21 2008 A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. Zbl 1060.74069 Sladek, J.; Sladek, V.; Atluri, S. N. 21 2001 The Lie-group shooting method for singularly perturbed two-point boundary value problems. Zbl 1152.65452 Liu, Chein-Shan 21 2006 A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains. Zbl 1153.65359 Liu, Chein-Shan 21 2008 Application of meshless local Petrov-Galerkin (MLPG) method fo elastodynamic problems in continuously nonhomogeneous solids. Zbl 1064.74178 Sladek, Jan; Sladek, Vladimir; Zhang, Chuanzeng 21 2003 State-of-the-art, trends, and directions in computational electromagnetics. Zbl 1080.78013 Reitich, F.; Tamma, K. K. 21 2004 Numerical solution of system of \(N\)-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187 Dehghan, M.; Abbaszadeh, M.; Mohebbi, A. 21 2014 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 1231.65071 Liu, Chein-Shan; Hong, Hong-Ki; Atluri, Satya N. 20 2010 Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity. Zbl 1108.74387 Li, Q.; Shen, S.; Han, Z. D.; Atluri, S. N. 20 2003 A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116 Liu, Chein-Shan 20 2013 A comparative study of global and local meshless methods for diffusion-reaction equation. Zbl 1231.65184 Yao, Guangming; Siraj-Ul-Islam; Sarler, Bozidar 19 2010 Parallel octree-based finite element method for large-scale earthquake ground motion simulation. Zbl 1232.86004 Bielak, J.; Ghattas, O.; Kim, E.-J. 19 2005 Meshless BEM for three-dimensional Stokes flows. Zbl 1147.76595 Tsai, C. C.; Young, D. L.; Cheng, A. H.-D. 19 2002 Non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems. Zbl 1356.74021 Liu, Q. G.; Šarler, B. 19 2013 A fast adaptive wavelet scheme in RBF collocation for nearly singular potential PDEs. Zbl 1357.65272 Libre, Nicolas Ali; Emdadi, Arezoo; Kansa, Edward J.; Shekarchi, Mohammad; Rahimian, Mohammad 19 2008 Computation of incompressible Navier-Stokes equations by local RBF-based differential quadrature method. Zbl 1106.76427 Shu, Chang; Ding, H.; Yeo, K. S. 18 2005 A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures. Zbl 1232.74108 Nguyen-Van, H.; Mai-Duy, N.; Tran-Cong, T. 18 2008 Past cone dynamics and backward group preserving schemes for backward heat conduction problems. Zbl 1232.65129 Liu, C.-S.; Chang, C.-W.; Chang, J.-R. 18 2006 Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MLPG) method. Zbl 1147.65326 Kim, H.-G.; Atluri, S. N. 18 2000 Analysis of elastodynamic deformations near a crack/notch tip by the meshless local Petrov-Galerkin (MLPG) method. Zbl 1152.74343 Batra, R. C.; Ching, H.-K. 18 2002 A novel time integration method for solving a large system of non-linear algebraic equations. Zbl 1152.65428 Liu, Chein-Shan; Atluri, Satya N. 18 2008 Numerical investigation on direct MLPG for 2D and 3D potential problems. Zbl 1357.65262 Mazzia, Annamaria; Pini, Giorgio; Sartoretto, Flavio 18 2012 A meshless method for solving the 2D Brusselator reaction-diffusion system. Zbl 1357.65152 Mohammadi, M.; Mokhtari, R.; Schaback, R. 18 2014 The hybrid boundary node method accelerated by fast multipole expansion technique for 3D elasticity. Zbl 1231.74447 Wang, Qiao; Miao, Yu; Zheng, Junjie 17 2010 Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elastostatics. Zbl 1087.74654 Han, Z. D.; Atluri, S. N. 17 2004 Efficient shooting methods for the second-order ordinary differential equations. Zbl 1152.65453 Liu, Chein-Shan 17 2006 Simulation of natural convection influenced by magnetic field with explicit local radial basis function collocation method. Zbl 1356.76441 Mramor, K.; Vertnik, R.; Šarler, B. 17 2013 Probabilistic collocation used in a two-step approach for efficient uncertainty quantification in computational fluid dynamics. Zbl 1232.76038 Loeven, G. J. A.; Bijl, H. 16 2008 Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method. Zbl 1018.74038 Chen, Xiaolin; Liu, Yijun 16 2001 Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. Zbl 1148.74344 Qian, L. F.; Batra, R. C.; Chen, L. M. 16 2003 Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279 Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen 16 2014 Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. Zbl 1357.74079 Atluri, S. N.; Liu, H. T.; Han, Z. D. 16 2006 A developed new algorithm for evaluating Adomian polynomials. Zbl 1357.65067 Azreg-Aïnou, M. 16 2009 On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis. Zbl 1189.76344 Pluymers, B.; Desmet, W.; Vandepitte, D.; Sas, P. 15 2005 Method of fundamental solutions for scattering problems of electromagnetic waves. Zbl 1106.78008 Ruan, D. L.; Ruan, J. W. 15 2005 High-order unstructured one-step \(P_{N}P_{M}\) schemes for the viscous and resistive MHD equations. Zbl 1231.76345 Dumbser, M.; Balsara, D. S. 15 2009 Fictitious time integration method of fundamental solutions with Chebyshev polynomials for solving Poisson-type nonlinear PDEs. Zbl 1231.65243 Tsai, Chia-Cheng; Liu, Chein-Shan; Yeih, Wei-Chung 15 2010 Comparison of the fast multipole method with hierarchical matrices for the Helmholtz-BEM. Zbl 1231.74454 Brunner, Dominik; Junge, Michael; Rapp, Philipp Ferdinand; Bebendorf, Mario; Gaul, Lothar 15 2010 An efficient backward group preserving scheme for the backward in time Burgers equation. Zbl 1232.65130 Liu, Chein-Shan 15 2006 Meshless local Petrov-Galerkin (MLPG) method for shear deformable shells analysis. Zbl 1232.74073 Sladek, J.; Sladek, V.; Wen, P. H.; Aliabadi, M. H. 15 2006 Indirect RBFN method with thin plate splines for numerical solution of differential equations. Zbl 1148.76351 Mai-Duy, N.; Tran-Cong, T. 15 2003 An efficient Trefftz-based method for three-dimensional Helmholtz problems in unbounded domains. Zbl 1231.76259 Bergen, Bart; Van Genechten, Bert; Vandepitte, Dirk; Desmet, Wim 14 2010 Improved velocity projection for the material point method. Zbl 1184.74078 Wallstedt, P. C.; Guilkey, J. E. 14 2007 Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction&displacement boundary integral equations. Zbl 1108.74385 Atluri, S. N.; Han, Z. D.; Shen, S. 14 2003 A new fast multipole boundary element method for large scale analysis of mechanical properties in 3D particle-reinforced composites. Zbl 1178.74176 Wang, Haitao; Yao, Zhenhan 14 2005 A MLPG (LBIE) method for solving frequency domain elastic problems. Zbl 1064.74170 Sellountos, E. J.; Polyzos, D. 14 2003 Dual hybrid boundary node method for solving transient dynamic fracture problems. Zbl 1356.74186 Miao, Y.; He, T. G.; Luo, H.; Zhu, H. P. 14 2012 Non-singular method of fundamental solutions based on Laplace decomposition for 2D Stokes flow problems. Zbl 1356.76258 Sincich, E.; Sarler, B. 14 2014 Application of the generalized finite difference method to improve the approximated solution of PDEs. Zbl 1357.74075 Benito, J. J.; Urena, F.; Gavete, L.; Alonso, B. 14 2008 Meshfree point collocation schemes for 2D steady state incompressible Navier-Stokes equations in velocity-vorticity formulation for high values of Reynolds number. Zbl 1231.76069 Bourantas, G. C.; Skouras, E. D.; Loukopoulos, V. C.; Nikiforidis, G. C. 13 2010 Stable PDE solution methods for large multiquadric shape parameters. Zbl 1232.65154 Emdadi, Arezoo; Kansa, Edward J.; Libre, Nicolas Ali; Rahimian, Mohammad; Shekarchi, Mohammad 13 2008 A highly accurate technique for interpolations using very high-order polynomials, and its applications to some ill-posed linear problems. Zbl 1232.65021 Liu, Chein-Shan; Atluri, Satya N. 13 2009 MLPG\(_{-R}\) method for numerical simulation of 2D breaking waves. Zbl 1232.76027 Ma, Q. W.; Zhou, J. T. 13 2009 Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. Zbl 1232.74117 Han, Z. D.; Rajendran, A. M.; Atluri, S. N. 13 2005 Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates. Zbl 1075.74083 Sorić, J.; Li, Q.; Jarak, T.; Atluri, S. N. 13 2004 On the equivalence between least-squares and kernel approximations in meshless methods. Zbl 0996.65118 Jin, Xiaozhong; Li, Gang; Aluru, N. R. 13 2001 High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041 Hesthaven, J. S.; Warburton, T. 13 2004 Reflection in a level set framework for geometric optics. Zbl 1069.78002 Cheng, Li-Tien; Kang, Myungjoo; Osher, Stanley; Shim, Hyeseon; Tsai, Yen-Hsi 13 2004 The finite point method for reaction-diffusion systems in developmental biology. Zbl 1357.65137 Tatari, Mehdi; Kamranian, Maryam; Dehghan, Mehdi 13 2011 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 1356.65193 Dai, Hong-Hua; Schnoor, Matt; Atluri, Satya N. 13 2012 Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. Zbl 1357.74074 Atluri, S. N.; Liu, H. T.; Han, Z. D. 13 2006 A 2-D time-domain BIEM for dynamic analysis of cracked orthotropic solids. Zbl 1040.74053 Zhang, Ch. 13 2002 A multiscale approach for the micropolar continuum model. Zbl 1107.74004 Kadowaki, Hiroshi; Liu, Wing Kam 12 2005 A dual hybrid boundary node method for 2D elastodynamics problems. Zbl 1231.74460 Miao, Yu; Wang, Qiao; Liao, Bihai; Zheng, Junjie 12 2009 Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation. Zbl 1232.74068 Wen, P. H.; Hon, Y. C. 12 2007 Finite element approaches to non-classical heat conduction in solids. Zbl 1232.80004 Bargmann, S.; Steinmann, P. 12 2005 Symmetric variational formulation of BIE for domain decomposition problems in elasticity – an SGBEM approach for nonconforming discretizations of curved interfaces. Zbl 1184.65111 Vodička, R.; Mantič, V.; París, F. 12 2007 On solving linear and nonlinear sixth-order two point boundary value problems via an elegant harmonic numbers operational matrix of derivatives. Zbl 1356.65190 Abd-Elhameed, W. M. 25 2014 Numerical solution of system of \(N\)-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187 Dehghan, M.; Abbaszadeh, M.; Mohebbi, A. 21 2014 A meshless method for solving the 2D Brusselator reaction-diffusion system. Zbl 1357.65152 Mohammadi, M.; Mokhtari, R.; Schaback, R. 18 2014 Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279 Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen 16 2014 Non-singular method of fundamental solutions based on Laplace decomposition for 2D Stokes flow problems. Zbl 1356.76258 Sincich, E.; Sarler, B. 14 2014 Computational methods in engineering: a variety of primal & mixed methods, with global & local interpolations, for well-posed or ill-posed BCs. Zbl 1356.65194 Dong, L.; Alotaibi, A.; Mohiuddine, S. A.; Atluri, S. N. 12 2014 Comparison of four multiscale methods for elliptic problems. Zbl 1357.65270 Wu, Y. T.; Nie, Y. F.; Yang, Z. H. 12 2014 Dynamic anti-plane crack analysis in functional graded piezoelectric semiconductor crystals. Zbl 1356.74188 Sladek, J.; Sladek, V.; Pan, E.; Young, D. L. 10 2014 Symmetric coupling of the meshless Galerkin boundary node and finite element methods for elasticity. Zbl 1356.74020 Li, Xiaolin 8 2014 Improved MPS-FE fluid-structure interaction coupled method with MPS polygonwall boundary model. Zbl 1356.76062 Mitsume, N.; Yoshimura, S.; Murotani, K.; Yamada, T. 8 2014 Numerical solution for a class of linear system of fractional differential equations by the Haar wavelet method and the convergence analysis. Zbl 1356.65191 Chen, Yiming; Han, Xiaoning; Liu, Lechun 6 2014 Meshless local Petrov-Galerkin mixed collocation method for solving Cauchy inverse problems of steady-state heat transfer. Zbl 1356.80056 Zhang, Tao; He, Yiqian; Dong, Leiting; Li, Shu; Alotaibi, Abdullah; Atluri, Satya N. 6 2014 Variable viscosity and density biofilm simulations using an immersed boundary method. I: Numerical scheme and convergence results. Zbl 1356.76052 Hammond, Jason F.; Stewart, Elizabeth J.; Younger, John G.; Solomon, Michael J.; Bortz, David M. 6 2014 Numerical solution for the variable order time fractional diffusion equation with Bernstein polynomials. Zbl 1357.65185 Chen, Yiming; Liu, Liqing; Li, Xuan; Sun, Yannan 5 2014 On solving three-dimensional Laplacian problems in a multiply connected domain using the multiple scale Trefftz method. Zbl 1357.65193 Ku, Cheng-Yu 5 2014 A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062 Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F. 5 2014 Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241 Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan 5 2014 A new approach to a fuzzy time-optimal control problem. Zbl 1356.93045 Amrahov, S. Emrah; Gasilov, N. A.; Fatullayev, A. G. 5 2014 Solving the Lane-Emden-Fowler type equations of higher orders by the Adomian decomposition method. Zbl 1356.65214 Wazwaz, Abdul-Majid; Rach, Randolph; Bougoffa, Lazhar; Duan, Jun-Sheng 5 2014 Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204 Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu 5 2014 A high-order finite-difference scheme with a linearization technique for solving of three-dimensional Burgers equation. Zbl 1357.65113 Campos, M. D.; Romão, E. C. 5 2014 Differential quadrature and cubature methods for steady-state space-fractional advection-diffusion equations. Zbl 1357.65303 Pang, Guofei; Chen, Wen; Sze, K. Y. 4 2014 Research on band structure of one-dimensional phononic crystals based onwavelet finite element method. Zbl 1356.74100 Liu, Mao; Xiang, Jiawei; Gao, Haifeng; Jiang, Yongying; Zhou, Yuqing; Li, Fengping 4 2014 Pore-scale modeling of Navier-Stokes flow in distensible networks and porous media. Zbl 1356.76363 Sochi, Taha 4 2014 Time domain inverse problems in nonlinear systems using collocation & radial basis functions. Zbl 1356.65180 Elgohary, T. A.; Dong, L.; Junkins, J. L.; Atluri, S. N. 4 2014 A simple, fast, and accurate time-integrator for strongly nonlinear dynamical systems. Zbl 1356.65242 Elgohary, T. A.; Dong, L.; Junkins, J. L.; Atluri, S. N. 4 2014 Time-domain BEM analysis for three-dimensional elastodynamic problems with initial conditions. Zbl 1356.74233 Li, Yuan; Zhang, Jianming; Xie, Guizhong; Zheng, Xingshuai; Guo, Shuaiping 4 2014 A projection method for the monolithic interaction system of an incompressible fluid and a structure using a new algebraic splitting. Zbl 1356.74203 Ishihara, D.; Horie, T. 4 2014 Direct volume-to-surface integral transformation for 2D BEM analysis of anisotropic thermoelasticity. Zbl 1356.74238 Shiah, Y. C.; Hsu, Chung-Lei; Hwu, Chyanbin 4 2014 On the (meshless local Petrov-Galerkin) MLPG-Eshelby method in computational finite deformation solid mechanics. II. Zbl 1357.74061 Han, Z. D.; Atluri, S. N. 3 2014 A computational modeling framework for heat transfer processes in laser-induced dermal tissue removal. Zbl 1356.74140 Zohdi, T. I. 3 2014 Simulation of stress concentration problems by hexahedral hybrid-Trefftz finite element models. Zbl 1356.74077 Bussamra, F. L. S.; Neto, E. Lucena; Ponciano, W. M. 3 2014 An LGDAE method to solve nonlinear Cauchy problem without initial temperature. Zbl 1357.65159 Liu, Chein-Shan 3 2014 Homotopy method for parameter determination of solute transport with fractional advection-dispersion equation. Zbl 1356.76367 Wei, Hui; Chen, Wen; Sun, Hongguang 3 2014 Boundary element analysis of shear deformable shallow shells under harmonic excitation. Zbl 1356.74130 Useche, J. 3 2014 Boundary layer effect in regularized meshless method for Laplace equation. Zbl 1357.65300 Li, Weiwei; Chen, Wen 3 2014 Legendre polynomials method for solving a class of variable order fractional differential equation. Zbl 1356.65203 Wang, Lifeng; Ma, Yunpeng; Yang, Yongqiang 3 2014 On the numerical solution of the Laplace equation with complete and incomplete Cauchy data using integral equations. Zbl 1357.65237 Babenko, Christina; Chapko, Roman; Johansson, B. Tomas 3 2014 Collocation methods to solve certain Hilbert integral equation with middle rectangle rule. Zbl 1356.65260 Li, Jin; Yu, De-Hao 3 2014 An improved isogeometric boundary element method approach in two dimensional elastostatics. Zbl 1356.74236 Mallardo, Vincenzo; Ruocco, Eugenio 3 2014 The boundary integral equation for 3D general anisotropic thermoelasticity. Zbl 1356.74050 Shiah, Y. C.; Tan, C. L. 3 2014 An approach with Haar wavelet collocation method for numerical simulations of modified KdV and modified Burgers equations. Zbl 1357.65201 Ray, S. Saha; Gupta, A. K. 3 2014 Frequency domain based solution for certain class of wave equations: an exhaustive study of numerical solutions. Zbl 1356.74247 Chellappan, Vinita; Gopalakrishnan, S.; Mani, V. 2 2014 Forced vibrations of a system consisting of a pre-strained highly elastic plate under compressible viscous fluid loading. Zbl 1356.74083 Akbarov, S. D.; Ismailov, M. I. 2 2014 Large deformation dynamic three-dimensional coupled finite element analysis of soft biological tissues treated as biphasic porous media. Zbl 1356.74212 Regueiro, R. A.; Zhang, B.; Wozniak, S. L. 2 2014 Particle-based moving interface method for the study of the interaction between soft colloid particles and immersed fibrous network. Zbl 1356.76162 Foucard, Louis C.; Pellegrino, John; Vernerey, Franck J. 2 2014 Design evaluation of a particle bombardment system used to deliver substances into cells. Zbl 1356.92008 Campello, Eduardo M. B.; Zohdi, Tarek I. 2 2014 Interval uncertain optimization of vehicle suspension for ride comfort. Zbl 1356.70025 Jiang, C.; Yu, S.; Xie, H. C.; Li, B. C. 2 2014 Speedup of elastic-plastic analysis of large-scale model with crack using partitioned coupling method with subcycling technique. Zbl 1356.74035 Yusa, Yasunori; Yoshimura, Shinobu 2 2014 Numerical solution of fractional Fredholm-Volterra integro-differential equations by means of generalized hat functions method. Zbl 1356.65259 Li, Baofeng 2 2014 A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141 Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen 2 2014 A novel semi-analytic meshless method for solving twoand three-dimensional elliptic equations of general form with variable coefficients in irregular domains. Zbl 1357.65276 Reutskiy, S. Yu. 2 2014 A regularized method of fundamental solutions for 3D and axisymmetric potential problems. Zbl 1357.65299 Gáspár, Csaba 2 2014 An adaptive discretization of incompressible flow using node-based local meshes. Zbl 1356.76079 Zhang, Weiwei; Nie, Yufeng; Cai, Li; Qi, Nan 2 2014 Fatigue crack growth reliability analysis by stochastic boundary element method. Zbl 1356.74184 Huang, Xiyong; Aliabadi, M. H.; Khodaei, Z. Sharif 2 2014 Analysis of 3D anisotropic solids using fundamental solutions based on Fourier series and the adaptive cross approximation method. Zbl 1356.74024 Rodríguez, R. Q.; Tan, C. L.; Sollero, P.; Albuquerque, E. L. 2 2014 Free-space fundamental solution of a 2D steady slow viscous MHD flow. Zbl 1356.76449 Sellier, A.; Aydin, S. H.; Tezer-Sezgin, M. 2 2014 Hybrid elements for modelling squeeze film effects coupled with structural interactions in vibratory MEMS devices. Zbl 1356.74213 Roychowdhury, A.; Nandy, A.; Jog, C. S.; Pratap, R. 2 2014 Nonlinear dynamics of Duffing oscillator with time delayed term. Zbl 1356.34044 Liao, Haitao 2 2014 A state space differential reproducing kernel method for the buckling analysis of carbon nanotube-reinforced composite circular hollow cylinders. Zbl 1356.74257 Wu, Chih-Ping; Jiang, Ruei-Yong 1 2014 Cauchy problem for the heat equation in a bounded domain without initial value. Zbl 1357.65154 Liu, Ji-Chuan; Wang, Jun-Gang 1 2014 Composite Simpson’s rule for computing supersingular integral on circle. Zbl 1356.65081 Li, Jin; Ru, Hongxing; Yu, Dehao 1 2014 Simulations of blood drop spreading and impact for bloodstain pattern analysis. Zbl 1356.76474 Wang, Chu; Zhang, Lucy T. 1 2014 A meshfree method for mechanics and conformational change of proteins and their assemblies. Zbl 1358.92012 Aggarwal, Ankush; Chen, Jiun-Shyan; Klug, William S. 1 2014 A new multi-objective reliability-based robust design optimization method. Zbl 1356.90049 Yang, Zichun; Peng, Maolin; Cao, Yueyun; Zhang, Lei 1 2014 Complete solid buckling analysiswith boundary face method. Zbl 1356.74253 Li, Guangyao; Guo, Shuaiping; Zhang, Jianming; Fei, Baiping; Li, Yuan 1 2014 Ambarzumyan type theorem for a matrix valued quadratic Sturm-Liouville problem. Zbl 1356.34029 Yilmaz, Emrah; Koyunbakan, Hikmet 1 2014 Wave propagation in piezoelectric rods with rectangular cross sections. Zbl 1356.74099 Zhang, Xiaoming; Xu, Xingxin; Wang, Yuqing 1 2014 A systematic review of algorithms with linear-time behaviour to generate Delaunay and Voronoi tessellations. Zbl 1356.65046 Gonzaga de Oliveira, Sanderson L.; Nogueira, Jessica Renata; Tavares, Joao Manuel R. S. 1 2014 Algebraic multigrid methods based on generic approximate banded inverse matrix techniques. Zbl 1356.65101 Gravvanis, George A.; Filelis-Papadopoulos, Christos K.; Matskanidis, Paschalis I. 1 2014 An artificial boundary method for Burgers equation in the unbounded domain. Zbl 1357.65140 Zheng, Quan; Fan, Lei; Li, Xuezheng 1 2014 A fully discrete SCNFVE formulation for the non-stationary Navier-Stokes equations. Zbl 1356.76190 Luo, Zhendong; Teng, Fei 1 2014 Dynamic response of borehole in poroelastic medium with disturbed zone. Zbl 1356.74135 Kaewjuea, W.; Senjuntichai, T.; Rajapakse, R. K. N. D. 1 2014 A level-set algorithm for simulating wildfire spread. Zbl 1356.68257 Ghisu, T.; Arca, B.; Pellizzaro, G.; Duce, P. 1 2014 MLPG refinement techniques for 2D and 3D diffusion problems. Zbl 1357.65263 Mazzia, Annamaria; Pini, Giorgio; Sartoretto, Flavio 1 2014 Space-time discontinuous Galerkin method based on a new generalized flux vector splitting method for multi-dimensional nonlinear hyperbolic systems. Zbl 1356.74219 Trapper, P. A.; Bar-Yoseph, P. Z. 1 2014 Geometrically nonlinear inelastic analysis of Timoshenko beams on inelastic foundation. Zbl 1356.74105 Kampitsis, A. E.; Sapountzakis, E. J. 1 2014 Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh. Zbl 1356.65185 Das, Pratibhamoy; Natesan, Srinivasan 25 2013 A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116 Liu, Chein-Shan 20 2013 Non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems. Zbl 1356.74021 Liu, Q. G.; Šarler, B. 19 2013 Simulation of natural convection influenced by magnetic field with explicit local radial basis function collocation method. Zbl 1356.76441 Mramor, K.; Vertnik, R.; Šarler, B. 17 2013 The sinh transformation for curved elements using the general distance function. Zbl 1357.65286 Lv, J. H.; Miao, Y.; Gong, W. H.; Zhu, H. P. 12 2013 Application of a hybrid mesh-free method based on generalized finite difference (GFD) method for natural frequency analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotubes. Zbl 1356.74010 Hosseini, Seyed Mahmoud 11 2013 Analysis of band structure for 2D acoustic phononic structure by BEM and the block SS method. Zbl 1357.65280 Gao, H. F.; Matsumoto, T.; Takahashi, T.; Isakari, H. 9 2013 Modeling imperfect interfaces in the material point method using multimaterial methods. Zbl 1356.74014 Nairn, J. A. 8 2013 On the solution of Burgers-Huxley and Huxley equation using wavelet collocation method. Zbl 1357.65200 Ray, S. Saha; Gupta, A. K. 7 2013 Using the method of fundamental solutions for obtaining exponentially convergent Helmholtz eigensolutions. Zbl 1357.65250 Tsai, Chia-Cheng; Young, D. L. 7 2013 A meshless simulations for 2D nonlinear reaction-diffusion Brusselator system. Zbl 1357.65178 Shirzadi, Ahmad; Sladek, Vladimir; Sladek, Jan 7 2013 Operational matrix method for solving variable order fractional integro-differential equations. Zbl 1356.65205 Yi, Mingxu; Huang, Jun; Wang, Lifeng 7 2013 Error expansion of classical trapezoidal rule for computing Cauchy principal value integral. Zbl 1356.65082 Li, Jin; Yu, De-Hao 6 2013 Numerical solution of nonlinear fractional integral differential equations by using the second kind Chebyshev wavelets. Zbl 1356.65192 Chen, Yiming; Sun, Lu; Li, Xuan; Fu, Xiaohong 5 2013 Wavelet solution of a class of two-dimensional nonlinear boundary value problems. Zbl 1357.65273 Liu, Xiaojing; Wang, Jizeng; Zhou, Youhe 5 2013 A coupled BEM-MLPG technique for the thermal analysis of non-homogeneous media. Zbl 1356.74242 Tadeu, A.; Stanak, P.; Sladek, J.; Sladek, V.; Prata, J.; Simões, N. 5 2013 A particle simulation of 2-D vessel motions interacting with liquid-sloshing cargo. Zbl 1356.76043 Lee, Byung-Hyuk; Jeong, Se-Min; Hwang, Sung-Chul; Park, Jong-Chun; Kim, Moo-Hyun 4 2013 Numerical study on seepage property of karst collapse columns under particle migration. Zbl 1356.76370 Yao, Banghua; Wei, Jianping; Wang, Dengke; Ma, Dan; Chen, Zhanqing 4 2013 Two-dimensional elastic wave propagation analysis in finite length FG thick hollow cylinders with 2D nonlinear grading patterns using MLPG method. Zbl 1356.74098 Moussavinezhad, S. M.; Shahabian, Farzad; Hosseini, Seyed Mahmoud 4 2013 Numerical approximate solutions of nonlinear Fredholm integral equations of second kind using B-spline wavelets and variational iteration method. Zbl 1356.65266 Sahu, P. K.; Saha Ray, S. 4 2013 On static analysis of composite plane state structures via GDQFEM and cell method. Zbl 1356.74222 Viola, E.; Tornabene, F.; Ferretti, E.; Fantuzzi, N. 4 2013 Exact elasticity solution for natural frequencies of functionally graded simply-supported structures. Zbl 1356.74085 Brischetto, S. 4 2013 Fuzzy analysis of structures with imprecisely defined properties. Zbl 1356.74103 Behera, Diptiranjan; Chakraverty, Snehashish 4 2013 ...and 727 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,793 Authors 86 Liu, Chein-Shan 69 Dehghan Takht Fooladi, Mehdi 54 Sladek, Jan 54 Sladek, Vladimir 51 Chen, Wen 40 Zhang, Chuanzeng 38 Liu, Gui-Rong 33 Šarler, Božidar 30 Fan, Chia-Ming 29 Abbaszadeh, Mostafa 29 Fu, Zhuojia 29 Wen, Pihua 27 Soares, Delfim jun. 24 Li, Guangyao 23 Li, Xiaolin 22 Abbasbandy, Saeid 22 Nguyen-Xuan, Hung 22 Rabczuk, Timon 21 Siraj-ul-Islam 21 Tsai, Chia-Cheng 21 Young, Der-Liang 20 Chen, Ching-Shyang 20 Cui, Junzhi 20 Desmet, Wim 20 Tadeu, António J. 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