International Journal for Numerical Methods in Biomedical Engineering Short Title: Int. J. Numer. Methods Biomed. Eng. Publisher: Wiley, Chichester ISSN: 2040-7939; 2040-7947/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)2040-7947/issues Predecessor: Communications in Numerical Methods in Engineering Documents Indexed: 289 Publications (since 2010) References Indexed: 284 Publications with 9,124 References. all top 5 Latest Issues 28, No. 5 (2012) 28, No. 3 (2012) 28, No. 2 (2012) 28, No. 1 (2012) 27, No. 12 (2011) 27, No. 11 (2011) 27, No. 10 (2011) 27, No. 9 (2011) 27, No. 8 (2011) 27, No. 7 (2011) 27, No. 6 (2011) 27, No. 5 (2011) 27, No. 4 (2011) 27, No. 3 (2011) 27, No. 2 (2011) 27, No. 1 (2011) 26, No. 12 (2010) 26, No. 11 (2010) 26, No. 10 (2010) 26, No. 9 (2010) 26, No. 8 (2010) 26, No. 7 (2010) 26, No. 6 (2010) 26, No. 5 (2010) 26, No. 3-4 (2010) 26, No. 2 (2010) 26, No. 1 (2010) all top 5 Authors 7 Yıldırım, Ahmet 6 Dehghan Takht Fooladi, Mehdi 6 Wall, Wolfgang A. 5 Cebral, Juan Raul 5 Kaveh, Ali 5 Löhner, Rainald 4 Comerford, Andrew 4 Lu, Jia 4 Mut, Fernando 4 Putman, Christopher M. 3 Gürarslan, Gürhan 3 Joldes, Grand Roman 3 Kannan, Ravishekar 3 Liu, Gui-Rong 3 Luo, Yunhua 3 Miller, Karol 3 Nguyen-Thoi, Trung 3 Nguyen-Xuan, Hung 3 Nithiarasu, Perumal 3 Sarı, Murat 3 Sazonov, Igor A. 3 Tezduyar, Tayfun E. 3 van Loon, Raoul 3 Wei, Guowei 3 Wittek, Adam 2 Arís, Ruth 2 Aubry, Romain 2 Bevan, Rhodri L. T. 2 Blanco, Pablo Javier 2 Chandran, Krishnan B. 2 Chen, Yongqiang 2 Ehrgott, Matthias 2 Fan, Yubo 2 Förster, Christiane 2 Fortin, André 2 Gamage, Thiranja P. Babarenda 2 Gee, Michael W. 2 Givoli, Dan 2 Göktepe, Serdar 2 Hajarian, Masoud 2 Horton, Ashley 2 Houzeaux, Guillaume 2 Ishikawa, Takuji 2 Ko, Jin Hwan 2 Kuhl, Ellen 2 Kulasegaram, Sivakumar 2 Layton, Anita T. 2 Liu, Zhan 2 Lv, Guixia 2 Nash, Martyn Peter 2 Ng, Eddie-Yin-Kwee 2 Nielsen, Poul Michael Fønss 2 Nordsletten, David A. 2 Qian, Jing 2 Qian, Yingli 2 Quarteroni, Alfio M. 2 Rajagopal, Vijayaraghavan 2 Reddy, B. Dayanand 2 Reddy, Junuthula Narasimha 2 Rubin, Miles B. 2 Sforza, Daniel M. 2 Shen, Longjun 2 Takizawa, Kenji 2 Tateshima, Satoshi 2 Tomasiello, Stefania 2 Vazquez, Mariano 2 Vinuela, Fernando 2 Wada, Shigeo 2 Yamaguchi, Takami 2 Yang, Siyang 1 Abd-Elaziz, M. M. 1 Acharya, S. N. S. 1 Ackerer, Philippe 1 Adam, Clayton 1 Aguilar Madeira, José Firmino 1 Ahmed, Sameh Elsayed 1 Alastrue, Victor 1 Alfaro, Iciar 1 Ferri Aliabadi, Mohammad Hossien 1 Allery, Cyrille 1 Almeida, Regina C. 1 Alsafadie, Rabe 1 Amabili, Marco 1 Amat, Sergio P. 1 Anbarlooei, H. R. 1 Anca, Andrés Amílcar 1 Antiga, Luca 1 Aoki, Takayuki 1 Areias, Pedro M. A. 1 Arenas, Abraham J. 1 Arruda, Natalia C. B. 1 Arslan, Nurullah 1 Arvanaq, R. Aalizadeh 1 Asensio, Maria Isabel 1 Ashida, Fumihiro 1 Ashraf, Saeed 1 Ashyralyev, Allaberen 1 Askes, Harm 1 Attarnejad, Reza 1 Atyabi, S. Abbas ...and 577 more Authors all top 5 Fields 149 Numerical analysis (65-XX) 119 Biology and other natural sciences (92-XX) 96 Mechanics of deformable solids (74-XX) 68 Fluid mechanics (76-XX) 55 Partial differential equations (35-XX) 14 Computer science (68-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Optics, electromagnetic theory (78-XX) 6 Operations research, mathematical programming (90-XX) 5 Mechanics of particles and systems (70-XX) 4 Ordinary differential equations (34-XX) 4 Statistics (62-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 200 Publications have been cited 1,546 times in 1,283 Documents Cited by ▼ Year ▼ Numerical simulation of a thermodynamically consistent four-species tumor growth model. Zbl 1242.92030Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Oden, J. Tinsley 81 2012 Space-time finite element computation of arterial fluid-structure interactions with patient-specific data. Zbl 1180.92023Takizawa, Kenji; Christopher, Jason; Tezduyar, Tayfun E.; Sathe, Sunil 70 2010 Space-time fluid-structure interaction modeling of patient-specific cerebral aneurysms. Zbl 1244.92036Tezduyar, Tayfun E.; Takizawa, Kenji; Brummer, Tyler; Chen, Peng R. 60 2011 The use of He’s variational iteration method for solving the telegraph and fractional telegraph equations. Zbl 1210.65173Dehghan, Mehdi; Yousefi, S. A.; Lotfi, A. 55 2011 Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Zbl 1243.92017Griffith, Boyce E. 42 2012 Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Zbl 1370.74144Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. 40 2011 An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. Zbl 1248.74043Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. 40 2011 Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms. Zbl 1183.92050Torii, Ryo; Oshima, Marie; Kobayashi, Toshio; Takagi, Kiyoshi; Tezduyar, Tayfun E. 37 2010 The method of particular solutions for solving scalar wave equations. Zbl 1208.65153Wen, P. H.; Chen, C. S. 35 2010 Coupling strategies for biomedical fluid-structure interaction problems. Zbl 1183.92008Küttler, U.; Gee, M.; Förster, Ch.; Comerford, A.; Wall, W. A. 34 2010 An active strain electromechanical model for cardiac tissue. Zbl 1242.92016Nobile, F.; Quarteroni, A.; Ruiz-Baier, R. 32 2012 Performance of a high-continuity finite element in three-dimensional elasticity. Zbl 1426.74282Bilotta, Antonio; Formica, Giovanni; Turco, Emilio 32 2010 Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain. Zbl 1201.65160Rabinovich, Daniel; Givoli, Dan; Bécache, Eliane 29 2010 Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He’s variational iteration technique. Zbl 1192.65158Dehghan, Mehdi; Shakeri, Fatemeh 28 2010 Assessment of smoothed point interpolation methods for elastic mechanics. Zbl 1323.74080Chen, L.; Nguyen-Xuan, H.; Nguyen-Thoi, T.; Zeng, K. Y.; Wu, S. C. 24 2010 A computational method for identifying a spacewise-dependent heat source. Zbl 1190.65145Yan, Liang; Fu, Chu-Li; Dou, Fang-Fang 24 2010 Computational modeling of passive myocardium. Zbl 1207.92006Göktepe, S.; Acharya, S. N. S.; Wong, J.; Kuhl, E. 22 2011 A regularization framework for damage-plasticity models via gradient enhancement of the free energy. Zbl 1358.74050Dimitrijevic, B. J.; Hackl, K. 19 2011 Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations. Zbl 1185.65193Yıldırım, Ahmet 18 2010 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 17 2012 Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells. Zbl 1183.92022Crowl, Lindsay M.; Fogelson, Aaron L. 17 2010 Simulation of fluid-structure interaction with the interface artificial compressibility method. Zbl 1406.74193Degroote, Joris; Swillens, Abigail; Bruggeman, Peter; Haelterman, Robby; Segers, Patrick; Vierendeels, Jan 16 2010 Computational modeling of electrocardiograms: a finite element approach toward cardiac excitation. Zbl 1187.92062Kotikanyadanam, M.; Göktepe, S.; Kuhl, E. 16 2010 An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M. 15 2011 Pseudospectral methods for Nagumo equation. Zbl 1218.65111Dehghan, Mehdi; Fakhar-Izadi, Farhad 15 2011 Application of the homotopy perturbation method for the Fokker – Planck equation. Zbl 1200.65085Yıldırım, Ahmet 15 2010 A computational strategy for prestressing patient-specific biomechanical problems under finite deformation. Zbl 1180.92009Gee, M. W.; Förster, Ch.; Wall, W. A. 15 2010 Investigation of regularized techniques for boundary knot method. Zbl 1208.65173Wang, Fuzhang; Chen, Wen; Jiang, Xinrong 14 2010 A novel formulation for Neumann inflow boundary conditions in biomechanics. Zbl 1243.92016Gravemeier, Volker; Comerford, Andrew; Yoshihara, Lena; Ismail, Mahmoud; Wall, Wolfgang A. 14 2012 Nonlinear quasi-static finite element formulations for viscoelastic Euler – Bernoulli and Timoshenko beams. Zbl 1428.74127Payette, G. S.; Reddy, J. N. 13 2010 Fast numerical solutions of patient-specific blood flows in 3D arterial systems. Zbl 1180.92022Mut, Fernando; Aubry, Romain; Löhner, Rainald; Cebral, Juan R. 13 2010 Modeling and simulation of bioheat transfer in the human eye using the 3D alpha finite element method (\(\alpha\)FEM). Zbl 1193.92061Li, Eric; Liu, G. R.; Tan, Vincent; He, Z. C. 13 2010 Real-time simulation of surgery by reduced-order modeling and X-FEM techniques. Zbl 1243.92032Niroomandi, S.; Alfaro, I.; González, D.; Cueto, E.; Chinesta, F. 12 2012 A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation. Zbl 1222.65097Sari, Murat; Gürarslan, Gürhan 12 2011 Assessing the influence of heart rate in local hemodynamics through coupled 3D-1D-0D models. Zbl 1193.92027Blanco, P. J.; Urquiza, S. A.; Feijóo, R. A. 12 2010 Remarks on some properties of conic yield restrictions in limit analysis. Zbl 1397.74161Makrodimopoulos, Athanasios 11 2010 An adaptive dynamic relaxation method for solving nonlinear finite element problems. Application to brain shift estimation. Zbl 1370.65054Joldes, Grand Roman; Wittek, Adam; Miller, Karol 11 2011 Coupled electromechanical model of the heart: Parallel finite element formulation. Zbl 1242.92015Lafortune, Pierre; Arís, Ruth; Vázquez, Mariano; Houzeaux, Guillaume 11 2012 The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations. Zbl 1242.92017Pathmanathan, Pras; Mirams, Gary R.; Southern, James; Whiteley, Jonathan P. 11 2011 A meshless total Lagrangian explicit dynamics algorithm for surgical simulation. Zbl 1193.92056Horton, Ashley; Wittek, Adam; Joldes, Grand Roman; Miller, Karol 11 2010 Reduced-order modelling for solving linear and non-linear equations. Zbl 1210.65159Verdon, N.; Allery, C.; Béghein, C.; Hamdouni, A.; Ryckelynck, D. 10 2011 A compact locally one-dimensional finite difference method for nonhomogeneous parabolic differential equations. Zbl 1210.65158Qin, Jinggang; Wang, Tongke 10 2011 High-order absorbing boundary conditions incorporated in a spectral element formulation. Zbl 1201.78015Kucherov, Leonid; Givoli, Dan 10 2010 Free vibration analysis of Timoshenko beams by DSC method. Zbl 1428.74119Civalek, Ömer; Kiracioglu, Okyay 9 2010 Fluid-structure interaction simulations of the Fontan procedure using variable wall properties. Zbl 1451.92006Long, C. C.; Hsu, M-C.; Bazilevs, Y.; Feinstein, J. A.; Marsden, A. L. 9 2012 Uniformly convergent numerical method for singularly perturbed differential-difference equation using grid equidistribution. Zbl 1229.65132Mohapatra, Jugal; Natesan, Srinivasan 9 2011 Numerical solutions of linear and nonlinear diffusion equations by a differential quadrature method (DQM). Zbl 1210.65175Gürarslan, Gürhan; Sari, Murat 9 2011 Pseudo-time-coupled nonlinear models for biomolecular surface representation and solvation analysis. Zbl 1241.92007Zhao, Shan 9 2011 Towards a comprehensive computational model for the respiratory system. Zbl 1193.92068Wall, Wolfgang A.; Wiechert, Lena; Comerford, Andrew; Rausch, Sophie 9 2010 ‘Moment of fluid’ interface reconstruction method in axisymmetric coordinates. Zbl 1469.76082Anbarlooei, H. R.; Mazaheri, K. 8 2011 Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration. Zbl 1217.92019Rashidi, M. M.; Keimanesh, M.; Bég, O. Anwar; Hung, T. K. 8 2011 Fluid - solid coupling for the investigation of diastolic and systolic human left ventricular function. Zbl 1219.92046Nordsletten, D.; McCormick, M.; Kilner, P. J.; Hunter, P.; Kay, D.; Smith, N. P. 8 2011 Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows. Zbl 1452.76287Malossi, A. Cristiano I.; Blanco, Pablo J.; Deparis, Simone; Quarteroni, Alfio 8 2011 The challenge of mass conservation in the solution of free-surface flows with the fractional-step method: problems and solutions. Zbl 1274.76191Idelsohn, Sergio R.; Oñate, Eugenio 7 2010 The use of variational iteration method and Adomian decomposition method to solve the eikonal equation and its application in the reconstruction problem. Zbl 1218.65112Dehghan, Mehdi; Salehi, Rezvan 7 2011 Clinical application of image-based CFD for cerebral aneurysms. Zbl 1219.92035Cebral, J. R.; Mut, F.; Sforza, D.; Löhner, R.; Scrivano, E.; Lylyk, P.; Putman, C. 7 2011 Discrepancies of energy values in dynamics of three intersecting plates. Zbl 1426.74212Chróścielewski, J.; Witkowski, W. 7 2010 A three-dimensional particle simulation of the formation and collapse of a primary thrombus. Zbl 1183.92047Kamada, Hiroki; Tsubota, Ken-ichi; Nakamura, Masanori; Wada, Shigeo; Ishikawa, Takuji; Yamaguchi, Takami 7 2010 Variant of the Thomas algorithm for opposite-bordered tridiagonal systems of equations. Zbl 1192.65035Martin, Alexandre; Boyd, Iain D. 7 2010 Quality meshing based on STL triangulations for biomedical simulations. Zbl 1197.92031Marchandise, E.; Compère, G.; Willemet, M.; Bricteux, G.; Geuzaine, C.; Remacle, J.-F. 7 2010 High-order three-dimensional discontinuous deformation analysis (3-D DDA). Zbl 1323.74102Beyabanaki, S. Amir Reza; Jafari, Ahmad; Yeung, M. Ronald 6 2010 A solver combining reduced basis and convergence acceleration with applications to non-linear elasticity. Zbl 1323.74103Cadou, J. M.; Potier-Ferry, M. 6 2010 Patient-specific blood flow simulation through an aneurysmal thoracic aorta with a folded proximal neck. Zbl 1229.92045Bevan, R. L. T.; Sazonov, Igor; Saksono, Prihambodo H.; Nithiarasu, Perumal; van Loon, Raoul; Luckraz, Heyman; Ashraf, Saeed 6 2011 A finite element formulation of Mindlin plates for limit analysis. Zbl 1429.74068Capsoni, A.; da Silva, M. Vicente 6 2011 Improving preconditioned SOR-type iterative methods for \(L\)-matrices. Zbl 1228.65042Dehghan, Mehdi; Hajarian, Masoud 6 2011 Modelling pipeline for subject-specific arterial blood flow - a review. Zbl 1241.92018Sazonov, Igor; Yeo, Si Yong; Bevan, Rhodri L. T.; Xie, Xianghua; Van Loon, Raoul; Nithiarasu, Perumal 6 2011 A massively parallel computational electrophysiology model of the heart. Zbl 1241.92016Vázquez, M.; Arís, R.; Houzeaux, G.; Aubry, R.; Villar, P.; Garcia-Barnés, J.; Gil, D.; Carreras, F. 6 2011 Fluid-structure interaction methods in biological flows with special emphasis on heart valve dynamics. Zbl 1183.92023Vigmostad, Sarah C.; Udaykumar, Holavanahalli S.; Lu, Jia; Chandran, Krishnan B. 6 2010 On the modified Crank-Nicolson difference schemes for parabolic equation with non-smooth data arising in biomechanics. Zbl 1198.65160Ashyralyev, Allaberen; Erdogan, Abdullah Said; Arslan, Nurullah 6 2010 Effect of induced magnetic field on peristaltic flow of a micropolar fluid in an asymmetric channel. Zbl 1397.92147Shit, G. C.; Roy, M.; Ng, E. Y. K. 5 2010 Eigensolution of rotationally repetitive space structures using a canonical form. Zbl 1431.74053Kaveh, A.; Nemati, F. 5 2010 An explicit numerical scheme for the modified Burgers’ equation. Zbl 1210.65151Bratsos, A. G.; Petrakis, L. A. 5 2011 Biomolecular surface construction by PDE transform. Zbl 1244.92024Zheng, Qiong; Yang, Siyang; Wei, Guo-Wei 5 2012 Factorized parallel preconditioner for the saddle point problem. Zbl 1228.65046Lazarov, B. S.; Sigmund, O. 5 2011 New algorithm for solving a nonlinear hyperbolic telegraph equation with an integral condition. Zbl 1232.65135Yao, Huanmin; Lin, Yingzhen 5 2011 Efficient local formulation for elasto-plastic corotational thin-walled beams. Zbl 1432.74105Alsafadie, Rabe; Battini, Jean-Marc; Hjiaj, Mohammed 5 2011 Modeling of reinforced concrete through SPH-FE coupling and its application to the simulation of a projectile’s impact onto a slab. Zbl 1387.74129Caleyron, F.; Chuzel-Marmot, Y.; Combescure, A. 5 2011 The usage of wave polynomials in solving direct and inverse problems for two-dimensional wave equation. Zbl 1222.65104Maciąg, A. 5 2011 On the segmentation of vascular geometries from medical images. Zbl 1180.94016Radaelli, A. G.; Peiró, J. 5 2010 A discrete geometric conservation law (DGCL) for a cell vertex finite-volume algorithm on moving domains. Zbl 1351.76107Gil, A. J.; Bonet, J.; Silla, J.; Hassan, O. 5 2010 A discontinuous finite element method for elasto-plasticity. Zbl 1351.74082Hansbo, Peter 5 2010 Topological flow structures and stir mixing for steady flow in a peripheral bypass graft with uncertainty. Zbl 1193.92055Gambaruto, Alberto M.; Moura, Alexandra; Sequeira, Adélia 5 2010 Elastodynamic analysis of multiple crack problem in 3-D bi-materials by a BEM. Zbl 1428.74193Mykhas’kiv, V.; Zhbadynskyi, I.; Zhang, Ch. 4 2010 Application of the variational Germano identity to the variational multiscale formulation. Zbl 1210.65128Oberai, A. A.; Sondak, D. 4 2011 A localized meshless approach for modeling spatial-temporal calcium dynamics in ventricular myocytes. Zbl 1243.92038Yao, Guangming; Yu, Zeyun 4 2012 Signal transduction in a compliant short loop of Henle. Zbl 1243.92010Layton, Anita T.; Pham, Philip; Ryu, Hwayeon 4 2012 An implicit LU-SGS spectral volume method for the moment models in device simulations: formulation in 1D and application to a p-multigrid algorithm. Zbl 1252.82112Kannan, Ravishekar 4 2011 Basic displacement functions for centrifugally stiffened tapered beams. Zbl 1300.74021Attarnejad, Reza; Shahba, Ahmad 4 2011 Comparison of finite element method based on nodal displacement and absolute nodal coordinate formulation (ANCF) in thin shell analysis. Zbl 1242.74163Sereshk, Mohammadreza Vaziri; Salimi, Mahmoud 4 2011 High-order finite difference schemes for the solution of the generalized Burgers-Fisher equation. Zbl 1231.65146Sari, Murat; Gürarslan, Gürhan; Zeytinoğlu, Asuman 4 2011 An implicit LU-SGS spectral volume method for moment models in device simulations. II: Accuracy studies and performance enhancements using the penalty and BR2 formulations. Zbl 1222.65098Kannan, Ravishekar 4 2011 Preconditioned modified AOR method for systems of linear equations. Zbl 1226.65023Darvishi, M. T.; Hessari, P.; Shin, Byeong-Chun 4 2011 Modelling left ventricular function under assist device support. Zbl 1219.92045McCormick, M.; Nordsletten, D.; Kay, D.; Smith, N. 4 2011 Laminar-to-turbulent fluid – nanoparticle dynamics simulations: Model comparisons and nanoparticle-deposition applications. Zbl 1426.76177Zhang, Zhe; Kleinstreuer, Clement 4 2011 Partial differential equation transform – variational formulation and Fourier analysis. Zbl 1254.94012Wang, Yang; Wei, Guo-Wei; Yang, Siyang 4 2011 Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets. Zbl 1385.76008Bouzarth, Elizabeth L.; Layton, Anita T.; Young, Yuan-Nan 4 2011 A scheme for imposing constraints and improving conditioning of structural stiffness matrices. Zbl 1426.74185Martín, F.; Benavent-Climent, A.; Gallego, R. 4 2010 Vibration analysis for elastic multi-beam structures by the \(C^0\)-continuous time-stepping finite element method. Zbl 1310.74045Lai, Junjiang; Huang, Jianguo; Shi, Zhongci 4 2010 Fluid-structure interactions of the mitral valve and left heart: Comprehensive strategies, past, present and future. Zbl 1183.92043Einstein, Daniel R.; Del Pin, Facundo; Jiao, Xiangmin; Kuprat, Andrew P.; Carson, James P.; Kunzelman, Karyn S.; Cochran, Richard P.; Guccione, Julius M.; Ratcliffe, Mark B. 4 2010 An algebraic multigrid method for isotropic linear elasticity problems on anisotropic meshes. Zbl 1422.74096Xiao, Yingxiong; Shu, Shi; Zhang, Ping; Tan, Min 4 2010 Numerical simulation of a thermodynamically consistent four-species tumor growth model. Zbl 1242.92030Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Oden, J. Tinsley 81 2012 Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Zbl 1243.92017Griffith, Boyce E. 42 2012 An active strain electromechanical model for cardiac tissue. Zbl 1242.92016Nobile, F.; Quarteroni, A.; Ruiz-Baier, R. 32 2012 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 17 2012 A novel formulation for Neumann inflow boundary conditions in biomechanics. Zbl 1243.92016Gravemeier, Volker; Comerford, Andrew; Yoshihara, Lena; Ismail, Mahmoud; Wall, Wolfgang A. 14 2012 Real-time simulation of surgery by reduced-order modeling and X-FEM techniques. Zbl 1243.92032Niroomandi, S.; Alfaro, I.; González, D.; Cueto, E.; Chinesta, F. 12 2012 Coupled electromechanical model of the heart: Parallel finite element formulation. Zbl 1242.92015Lafortune, Pierre; Arís, Ruth; Vázquez, Mariano; Houzeaux, Guillaume 11 2012 Fluid-structure interaction simulations of the Fontan procedure using variable wall properties. Zbl 1451.92006Long, C. C.; Hsu, M-C.; Bazilevs, Y.; Feinstein, J. A.; Marsden, A. L. 9 2012 Biomolecular surface construction by PDE transform. Zbl 1244.92024Zheng, Qiong; Yang, Siyang; Wei, Guo-Wei 5 2012 A localized meshless approach for modeling spatial-temporal calcium dynamics in ventricular myocytes. Zbl 1243.92038Yao, Guangming; Yu, Zeyun 4 2012 Signal transduction in a compliant short loop of Henle. Zbl 1243.92010Layton, Anita T.; Pham, Philip; Ryu, Hwayeon 4 2012 Axisymmetric multicomponent vesicles: a comparison of hydrodynamic and geometric models. Zbl 1310.92018Sohn, Jinsun; Li, Shuwang; Li, Xiaofan; Lowengrub, John S. 3 2012 Quantum dynamics in continuum for proton transport. II: Variational solvent-solute interface. Zbl 1319.92064Chen, Duan; Chen, Zhan; Wei, Guo-Wei 3 2012 Numerical simulation of red blood cell behavior in a stenosed arteriole using the immersed boundary-lattice Boltzmann method. Zbl 1243.92036Vahidkhah, Koohyar; Fatouraee, Nasser 2 2012 A methodology for determining optimal thermal damage in magnetic nanoparticle hyperthermia cancer treatment. Zbl 1243.92030Mital, Manu; Tafreshi, Hooman V. 1 2012 A continuum description of the damage process in the arterial wall of abdominal aortic aneurysms. Zbl 1242.92032Marini, Giacomo; Maier, Andreas; Reeps, Christian; Eckstein, Hans-Henning; Wall, Wolfgang A.; Gee, Michael W. 1 2012 Computational model of soft tissues in the human upper airway. Zbl 1244.92013Pelteret, J-P. V.; Reddy, B. D. 1 2012 Space-time fluid-structure interaction modeling of patient-specific cerebral aneurysms. Zbl 1244.92036Tezduyar, Tayfun E.; Takizawa, Kenji; Brummer, Tyler; Chen, Peng R. 60 2011 The use of He’s variational iteration method for solving the telegraph and fractional telegraph equations. Zbl 1210.65173Dehghan, Mehdi; Yousefi, S. A.; Lotfi, A. 55 2011 Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Zbl 1370.74144Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. 40 2011 An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. Zbl 1248.74043Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. 40 2011 Computational modeling of passive myocardium. Zbl 1207.92006Göktepe, S.; Acharya, S. N. S.; Wong, J.; Kuhl, E. 22 2011 A regularization framework for damage-plasticity models via gradient enhancement of the free energy. Zbl 1358.74050Dimitrijevic, B. J.; Hackl, K. 19 2011 An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M. 15 2011 Pseudospectral methods for Nagumo equation. Zbl 1218.65111Dehghan, Mehdi; Fakhar-Izadi, Farhad 15 2011 A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation. Zbl 1222.65097Sari, Murat; Gürarslan, Gürhan 12 2011 An adaptive dynamic relaxation method for solving nonlinear finite element problems. Application to brain shift estimation. Zbl 1370.65054Joldes, Grand Roman; Wittek, Adam; Miller, Karol 11 2011 The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations. Zbl 1242.92017Pathmanathan, Pras; Mirams, Gary R.; Southern, James; Whiteley, Jonathan P. 11 2011 Reduced-order modelling for solving linear and non-linear equations. Zbl 1210.65159Verdon, N.; Allery, C.; Béghein, C.; Hamdouni, A.; Ryckelynck, D. 10 2011 A compact locally one-dimensional finite difference method for nonhomogeneous parabolic differential equations. Zbl 1210.65158Qin, Jinggang; Wang, Tongke 10 2011 Uniformly convergent numerical method for singularly perturbed differential-difference equation using grid equidistribution. Zbl 1229.65132Mohapatra, Jugal; Natesan, Srinivasan 9 2011 Numerical solutions of linear and nonlinear diffusion equations by a differential quadrature method (DQM). Zbl 1210.65175Gürarslan, Gürhan; Sari, Murat 9 2011 Pseudo-time-coupled nonlinear models for biomolecular surface representation and solvation analysis. Zbl 1241.92007Zhao, Shan 9 2011 ‘Moment of fluid’ interface reconstruction method in axisymmetric coordinates. Zbl 1469.76082Anbarlooei, H. R.; Mazaheri, K. 8 2011 Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration. Zbl 1217.92019Rashidi, M. M.; Keimanesh, M.; Bég, O. Anwar; Hung, T. K. 8 2011 Fluid - solid coupling for the investigation of diastolic and systolic human left ventricular function. Zbl 1219.92046Nordsletten, D.; McCormick, M.; Kilner, P. J.; Hunter, P.; Kay, D.; Smith, N. P. 8 2011 Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows. Zbl 1452.76287Malossi, A. Cristiano I.; Blanco, Pablo J.; Deparis, Simone; Quarteroni, Alfio 8 2011 The use of variational iteration method and Adomian decomposition method to solve the eikonal equation and its application in the reconstruction problem. Zbl 1218.65112Dehghan, Mehdi; Salehi, Rezvan 7 2011 Clinical application of image-based CFD for cerebral aneurysms. Zbl 1219.92035Cebral, J. R.; Mut, F.; Sforza, D.; Löhner, R.; Scrivano, E.; Lylyk, P.; Putman, C. 7 2011 Patient-specific blood flow simulation through an aneurysmal thoracic aorta with a folded proximal neck. Zbl 1229.92045Bevan, R. L. 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Zbl 1218.65083Meral, Gülnihal; Tezer-Sezgin, M. 1 2011 ...and 100 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,419 Authors 49 Tezduyar, Tayfun E. 47 Takizawa, Kenji 38 Dehghan Takht Fooladi, Mehdi 28 Liu, Gui-Rong 27 Bazilevs, Yuri 17 Quarteroni, Alfio M. 16 Hsu, Ming-Chen 16 Yıldırım, Ahmet 15 Turco, Emilio 15 Wall, Wolfgang A. 14 Rocca, Elisabetta 13 Nguyen-Thoi, Trung 12 Givoli, Dan 12 Griffith, Boyce E. 12 Joldes, Grand Roman 12 Kuhl, Ellen 11 Dumbser, Michael 11 Garcke, Harald 11 Lam, Kei Fong 11 Ruiz-Baier, Ricardo 10 Bordas, Stéphane Pierre Alain 10 Marsden, Alison L. 10 Miller, Karol 10 Nguyen-Xuan, Hung 10 Oden, John Tinsley 10 Phung-Van, P. 10 Signori, Andrea 10 Sprekels, Jürgen 10 Wittek, Adam 9 Bhalla, Amneet Pal Singh 9 Colli, Pierluigi 9 Göktepe, Serdar 9 Kostov, Nikolay A. 9 Luo, Zhendong 9 Vergara, Christian 8 Bonet, Javier 8 Chen, Lei 8 Chen, Wen 8 Gil, Antonio J. 8 Lakestani, Mehrdad 8 Mittal, Ramesh Chand 8 Saadatmandi, Abbas 8 Wei, Guowei 8 Yang, Fan 7 Allery, Cyrille 7 Fu, Chuli 7 Hagstrom, Thomas M. 7 Jia, Jiteng 7 Kaveh, Ali 7 Li, Eric 7 Nithiarasu, Perumal 7 Patankar, Neelesh A. 7 Placidi, Luca 7 Rabinovich, Daniel 7 Salehi, Rezvan 7 Yang, Yongtao 7 Zheng, Hong 6 Akgül, Ali 6 Bleyer, Jérémy 6 Cadou, Jean-Marc 6 Cazzani, Antonio M. 6 Chen, Ching-Shyang 6 Dangal, Thir 6 Dede’, Luca 6 Gilardi, Gianni 6 Gizzi, Alessio 6 He, Zhicheng 6 Henicke, Bradley 6 Le Van Canh 6 Lima, Ernesto A. B. F. 6 Lin, Ji 6 Nordsletten, David A. 6 Oñate Ibáñez de Navarra, Eugenio 6 Rizzi, Nicola Luigi 6 Wright, Samuel 6 Zhang, Yongjie Jessica 5 Barchiesi, Emilio 5 Bielak, Jacobo 5 Blanco, Pablo Javier 5 Deparis, Simone 5 Ebenbeck, Matthias 5 Kannan, Ravishekar 5 Kukreja, Vijay Kumar 5 Liu, Chun 5 Long, Christopher C. 5 Lowengrub, John Samuel 5 Luong-Van, H. 5 McIntyre, Spenser 5 Moorman, Creighton 5 Natarajan, Sundararajan 5 Ortigosa, Rogelio 5 Puntel, Anthony 5 Scacchi, Simone 5 Tian, Fangbao 5 Wang, Fuzhang 5 Yao, Guangming 5 Zhang, Xueying 5 Zhao, Shan 4 Augustin, Christoph M. 4 Bevan, Rhodri L. T. ...and 2,319 more Authors all top 5 Cited in 195 Journals 127 Computer Methods in Applied Mechanics and Engineering 104 Journal of Computational Physics 85 Computational Mechanics 59 Engineering Analysis with Boundary Elements 52 Applied Mathematical Modelling 48 Computers & Mathematics with Applications 48 Applied Mathematics and Computation 42 International Journal for Numerical Methods in Engineering 32 International Journal for Numerical Methods in Biomedical Engineering 29 Journal of Computational and Applied Mathematics 23 Computers and Fluids 23 European Journal of Mechanics. A. Solids 21 Mathematical Problems in Engineering 20 International Journal of Computational Methods 17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 16 Applied Numerical Mathematics 16 International Journal of Numerical Methods for Heat & Fluid Flow 13 Archives of Computational Methods in Engineering 12 International Journal for Numerical Methods in Fluids 12 ZAMP. 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B. Fluids 5 Inverse Problems in Science and Engineering 5 Acta Mechanica Sinica 5 Computational & Mathematical Methods in Medicine 4 Computer Physics Communications 4 Journal of Engineering Mathematics 4 Journal of Mathematical Biology 4 Journal of the Mechanics and Physics of Solids 4 Chaos, Solitons and Fractals 4 Mathematical and Computer Modelling 4 European Journal of Applied Mathematics 4 Numerical Algorithms 4 Waves in Random and Complex Media 4 Molecular Based Mathematical Biology 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Journal of Differential Equations 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics Letters 3 Archive of Applied Mechanics 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Complexity 3 Discrete and Continuous Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Discrete Dynamics in Nature and Society 3 Nonlinear Analysis. Real World Applications 3 Journal of Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 3 Iranian Journal of Numerical Analysis and Optimization 2 Journal of Fluid Mechanics 2 Physica A 2 Journal of Optimization Theory and Applications 2 Numerische Mathematik 2 Multidimensional Systems and Signal Processing 2 Applications of Mathematics 2 Journal of Elasticity 2 SIAM Journal on Mathematical Analysis 2 Advances in Engineering Software 2 Applied Mathematics. Series B (English Edition) 2 Numerical Linear Algebra with Applications 2 Turkish Journal of Mathematics 2 Advances in Computational Mathematics 2 International Journal of Computational Fluid Dynamics 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Mathematical and Computer Modelling of Dynamical Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 The ANZIAM Journal 2 Journal of Applied Mathematics and Computing 2 Structural and Multidisciplinary Optimization 2 Mathematical Biosciences and Engineering 2 Boundary Value Problems ...and 95 more Journals all top 5 Cited in 39 Fields 669 Numerical analysis (65-XX) 511 Mechanics of deformable solids (74-XX) 398 Fluid mechanics (76-XX) 349 Biology and other natural sciences (92-XX) 315 Partial differential equations (35-XX) 41 Ordinary differential equations (34-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 33 Optics, electromagnetic theory (78-XX) 25 Integral equations (45-XX) 23 Classical thermodynamics, heat transfer (80-XX) 19 Operations research, mathematical programming (90-XX) 15 Real functions (26-XX) 15 Mechanics of particles and systems (70-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Statistics (62-XX) 10 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Approximations and expansions (41-XX) 8 Geophysics (86-XX) 8 Systems theory; control (93-XX) 6 Operator theory (47-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Probability theory and stochastic processes (60-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 4 Functional analysis (46-XX) 3 Combinatorics (05-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year