Edit Profile (opens in new tab) Heinrich, Juan C. Compute Distance To: Compute Author ID: heinrich.juan-c Published as: Heinrich, J. C.; Heinrich, Juan C.; Heinrich, J. more...less Documents Indexed: 59 Publications since 1977, including 1 Book 2 Contributions as Editor Co-Authors: 34 Co-Authors with 46 Joint Publications 634 Co-Co-Authors all top 5 Co-Authors 10 single-authored 9 Poirier, David R. 8 Zhao, Pinghua 8 Zienkiewicz, Olgierd Cecil 5 Oñate Ibáñez de Navarra, Eugenio 3 Bergman, Lawrence A. 3 Felicelli, Sergio D. 3 Marshall, Robert S. 3 Vionnet, C. A. 2 Hall, Charles Allan 2 Idelsohn, Sergio Rodolfo 2 McBride, E. B. 2 Pepper, Darrell W. 2 Sajja, Udaya K. 1 Alder, Henry L. 1 Argyris, John Hadji 1 Barut, Atila 1 Brueckner, Frank P. 1 Carrington, David B. 1 Dominic A., Muñoz 1 Dyne, B. R. 1 Frey, A. E. 1 Gallagher, Richard Hugo 1 Haase, Maria 1 Huyakorn, Peter S. 1 Lavanchy, S. 1 Lick, Wilbert J. 1 Madenci, Erdogan 1 Mitchell, Andrew Ronald 1 Nagelhout, D. F. 1 Paul, J. F. 1 Sarigul, Nesrin 1 Sohn, J. L. 1 Strada, M. 1 Suárez, Benjamín 1 Tessler, Alexander 1 Vénere, Marcelo J. 1 Westra, D. G. all top 5 Serials 20 International Journal for Numerical Methods in Engineering 9 Computer Methods in Applied Mechanics and Engineering 5 International Journal for Numerical Methods in Fluids 3 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Computational Physics 2 Journal of the Institute of Mathematics and its Applications 2 Communications in Numerical Methods in Engineering 1 AIAA Journal 1 Computers and Fluids 1 International Journal of Solids and Structures 1 Archiv der Mathematik 1 Mathematical Modelling 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Progress in Computational Fluid Dynamics 1 Series in Computational and Physical Processes in Mechanics and Thermal Sciences all top 5 Fields 43 Fluid mechanics (76-XX) 21 Numerical analysis (65-XX) 13 Classical thermodynamics, heat transfer (80-XX) 8 Partial differential equations (35-XX) 5 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 446 times in 356 Documents Cited by ▼ Year ▼ An ’upwind’ finite element scheme for two-dimensional convective transport equation. Zbl 0353.65065Heinrich, J. C.; Huyakorn, P. S.; Zienkiewicz, O. C.; Mitchell, A. R. 116 1977 Finite element approximation to two-dimensional sine-Gordon solitons. Zbl 0762.65073Argyris, John; Haase, Maria; Heinrich, Juan C. 61 1991 Quadratic finite element schemes for two-dimensional convective-transport problems. Zbl 0372.76002Heinrich, J. C.; Zienkiewicz, O. C. 29 1977 Petrov-Galerkin methods for the time-dependent convective transport equation. Zbl 0631.65109Yu, C.-C.; Heinrich, J. C. 26 1986 Front-tracking finite element method for dendritic solidification. Zbl 1015.76044Zhao, P.; Heinrich, J. C. 25 2001 The finite element method and ’upwinding’ techniques in the numerical solution of convection dominated flow problems. Zbl 0436.76062Heinrich, J. C.; Zienkiewicz, O. C. 19 1979 A general formulation for coupled thermal flow of metals using finite elements. Zbl 0462.73053Zienkiewicz, O. C.; Onate, E.; Heinrich, J. C. 19 1981 Errata: ’Quadratic finite element schemes for two-dimensional convective transport problems’. Zbl 0391.76004Heinrich, J. C.; Zienkiewicz, O. C. 14 1978 Modeling dendritic growth of a binary alloy. Zbl 1022.76030Zhao, P.; Vénere, M.; Heinrich, J. C.; Poirier, D. R. 13 2003 Petrov-Galerkin methods for the transient advective-diffusive equation with sharp gradients. Zbl 0869.76041Idelsohn, S. R.; Heinrich, J. C.; Oñate, E. 12 1996 Petrov-Galerkin method for multidimensional, time-dependent, convective- diffusion equations. Zbl 0636.65117Yu, C.-C.; Heinrich, J. C. 11 1987 A unified treatment of steady-state shallow water and two-dimensional Navier-Stokes equations. Finite element penalty function approach. Zbl 0414.76014Zienkiewicz, O. C.; Heinrich, J. C. 10 1979 Analysis of thick sandwich construction by a \(\{3,2\}\)-order theory. Zbl 1075.74518Barut, A.; Madenci, E.; Heinrich, J.; Tessler, A. 9 2001 Viscous incompressible flow by a penalty function finite element method. Zbl 0466.76027Heinrich, J. C.; Marshall, R. S. 9 1981 A finite element model for double diffusive convection. Zbl 0535.76096Heinrich, J. C. 8 1984 On quadratic elements in finite element solutions of steady-state convection-diffusion equation. Zbl 0445.76061Heinrich, J. C. 7 1980 Dendritic solidification of binary alloys with free and forced convection. Zbl 1185.80005Zhao, Pinghua; Heinrich, J. C.; Poirier, D. R. 7 2005 Convection modeling in directional solidification. Zbl 1386.76076Heinrich, Juan C.; Poirier, David R. 7 2004 Numerical approximation of a thermally driven interface using finite elements. Zbl 1024.80003Zhao, P.; Heinrich, J. C. 7 2003 Finite element simulation of buoyancy-driven flows with emphasis on natural convection in a horizontal circular cylinder. Zbl 0631.76101Heinrich, J. C.; Yu, C. C. 6 1988 On the reliability of the linear oscillator and systems of coupled oscillators. Zbl 0499.70036Bergman, L. A.; Heinrich, J. C. 5 1982 Complementary energy revisited. Zbl 0464.73092Gallagher, R. H.; Heinrich, J. C.; Sarigul, N. 4 1981 Numerical simulation of crystal growth in three dimensions using a sharp-interface finite element method. Zbl 1194.76147Zhao, P.; Heinrich, J. C.; Poirier, D. R. 4 2007 A Poisson equation formulation for pressure calculations in penalty finite element models for viscous incompressible flows. Zbl 0714.76057Sohn, J. L.; Heinrich, J. C. 3 1990 On boundary conditions for unbounded flows. Zbl 0818.76041Heinrich, J. C.; Vionnet, C. A. 3 1995 Fixed mesh front-tracking methodology for finite element simulations. Zbl 1075.76582Zhao, P.; Heinrich, J. C.; Poirier, D. R. 3 2004 Physically correct penalty-like formulations for accurate pressure calculation in finite element algorithms of the Navier-Stokes equations. Zbl 0796.76050Dyne, B. R.; Heinrich, J. C. 2 1993 On a conjecture of Azevedo. Zbl 0820.14020Heinrich, J. 2 1995 Transient natural convection within a sphere using a 3-D finite element method. Zbl 0877.76037Pepper, D. W.; Heinrich, J. C. 2 1993 Approximation to the interface velocity in phase change front tracking. Zbl 0996.76059Zhao, P. H.; Heinrich, J. C. 2 2002 Solution of the Pontrjagin-Vitt equation for the moments of time to first passage of the randomly accelerated particle by the finite element method. Zbl 0465.76082Bergman, L. A.; Heinrich, J. C. 2 1980 Petrov-Galerkin finite element model for compressible flows. Zbl 0825.76432Brueckner, Frank P.; Heinrich, Juan C. 1 1991 Natural convection in inclined square enclosures at high Rayleigh numbers. Zbl 0445.76064Heinrich, J. C.; Strada, M. 1 1980 The finite element method. Basic concepts and applications with MATLAB, MAPLE, and COMSOL. 3rd revised and updated edition. Zbl 1360.65004Pepper, Darrell W.; Heinrich, Juan C. 1 2017 Mesh generation and flow calculations in highly contorted geometries. Zbl 0894.76037Heinrich, J. C.; Poirier, D. R.; Nagelhout, D. F. 1 1996 Finite element analysis of directional solidification of multicomponent alloys. Zbl 0904.76044Felicelli, S. D.; Heinrich, J. C.; Poirier, D. R. 1 1998 Solution of nonlinear second order differential equations with significant first derivatives by a Petrov-Galerkin finite element method. Zbl 0458.76032Heinrich, J. C.; Zienkiewicz, O. C. 1 1979 Petrov-Galerkin finite element solution for the first passage probability and moments of first passage time of the randomly accelerated free particle. Zbl 0468.73097Bergman, L. A.; Heinrich, J. C. 1 1981 Numerical simulation of incompressible flow driven by density variations during phase change. Zbl 0951.76044McBride, E.; Heinrich, J. C.; Poirier, D. R. 1 1999 Projection method for flows with large local density gradients: application to dendritic solidification. Zbl 1338.76053Heinrich, J. C.; Sajja, U. K.; Felicelli, S. D.; Westra, D. G. 1 2008 Calculation of pressure in a mushy zone. Zbl 0982.76060Heinrich, J. C.; McBride, E. 1 2000 The finite element method. Basic concepts and applications with MATLAB, MAPLE, and COMSOL. 3rd revised and updated edition. Zbl 1360.65004Pepper, Darrell W.; Heinrich, Juan C. 1 2017 Projection method for flows with large local density gradients: application to dendritic solidification. Zbl 1338.76053Heinrich, J. C.; Sajja, U. K.; Felicelli, S. D.; Westra, D. G. 1 2008 Numerical simulation of crystal growth in three dimensions using a sharp-interface finite element method. Zbl 1194.76147Zhao, P.; Heinrich, J. C.; Poirier, D. R. 4 2007 Dendritic solidification of binary alloys with free and forced convection. Zbl 1185.80005Zhao, Pinghua; Heinrich, J. C.; Poirier, D. R. 7 2005 Convection modeling in directional solidification. Zbl 1386.76076Heinrich, Juan C.; Poirier, David R. 7 2004 Fixed mesh front-tracking methodology for finite element simulations. Zbl 1075.76582Zhao, P.; Heinrich, J. C.; Poirier, D. R. 3 2004 Modeling dendritic growth of a binary alloy. Zbl 1022.76030Zhao, P.; Vénere, M.; Heinrich, J. C.; Poirier, D. R. 13 2003 Numerical approximation of a thermally driven interface using finite elements. Zbl 1024.80003Zhao, P.; Heinrich, J. C. 7 2003 Approximation to the interface velocity in phase change front tracking. Zbl 0996.76059Zhao, P. H.; Heinrich, J. C. 2 2002 Front-tracking finite element method for dendritic solidification. Zbl 1015.76044Zhao, P.; Heinrich, J. C. 25 2001 Analysis of thick sandwich construction by a \(\{3,2\}\)-order theory. Zbl 1075.74518Barut, A.; Madenci, E.; Heinrich, J.; Tessler, A. 9 2001 Calculation of pressure in a mushy zone. Zbl 0982.76060Heinrich, J. C.; McBride, E. 1 2000 Numerical simulation of incompressible flow driven by density variations during phase change. Zbl 0951.76044McBride, E.; Heinrich, J. C.; Poirier, D. R. 1 1999 Finite element analysis of directional solidification of multicomponent alloys. Zbl 0904.76044Felicelli, S. D.; Heinrich, J. C.; Poirier, D. R. 1 1998 Petrov-Galerkin methods for the transient advective-diffusive equation with sharp gradients. Zbl 0869.76041Idelsohn, S. R.; Heinrich, J. C.; Oñate, E. 12 1996 Mesh generation and flow calculations in highly contorted geometries. Zbl 0894.76037Heinrich, J. C.; Poirier, D. R.; Nagelhout, D. F. 1 1996 On boundary conditions for unbounded flows. Zbl 0818.76041Heinrich, J. C.; Vionnet, C. A. 3 1995 On a conjecture of Azevedo. Zbl 0820.14020Heinrich, J. 2 1995 Physically correct penalty-like formulations for accurate pressure calculation in finite element algorithms of the Navier-Stokes equations. Zbl 0796.76050Dyne, B. R.; Heinrich, J. C. 2 1993 Transient natural convection within a sphere using a 3-D finite element method. Zbl 0877.76037Pepper, D. W.; Heinrich, J. C. 2 1993 Finite element approximation to two-dimensional sine-Gordon solitons. Zbl 0762.65073Argyris, John; Haase, Maria; Heinrich, Juan C. 61 1991 Petrov-Galerkin finite element model for compressible flows. Zbl 0825.76432Brueckner, Frank P.; Heinrich, Juan C. 1 1991 A Poisson equation formulation for pressure calculations in penalty finite element models for viscous incompressible flows. Zbl 0714.76057Sohn, J. L.; Heinrich, J. C. 3 1990 Finite element simulation of buoyancy-driven flows with emphasis on natural convection in a horizontal circular cylinder. Zbl 0631.76101Heinrich, J. C.; Yu, C. C. 6 1988 Petrov-Galerkin method for multidimensional, time-dependent, convective- diffusion equations. Zbl 0636.65117Yu, C.-C.; Heinrich, J. C. 11 1987 Petrov-Galerkin methods for the time-dependent convective transport equation. Zbl 0631.65109Yu, C.-C.; Heinrich, J. C. 26 1986 A finite element model for double diffusive convection. Zbl 0535.76096Heinrich, J. C. 8 1984 On the reliability of the linear oscillator and systems of coupled oscillators. Zbl 0499.70036Bergman, L. A.; Heinrich, J. C. 5 1982 A general formulation for coupled thermal flow of metals using finite elements. Zbl 0462.73053Zienkiewicz, O. C.; Onate, E.; Heinrich, J. C. 19 1981 Viscous incompressible flow by a penalty function finite element method. Zbl 0466.76027Heinrich, J. C.; Marshall, R. S. 9 1981 Complementary energy revisited. Zbl 0464.73092Gallagher, R. H.; Heinrich, J. C.; Sarigul, N. 4 1981 Petrov-Galerkin finite element solution for the first passage probability and moments of first passage time of the randomly accelerated free particle. Zbl 0468.73097Bergman, L. A.; Heinrich, J. C. 1 1981 On quadratic elements in finite element solutions of steady-state convection-diffusion equation. Zbl 0445.76061Heinrich, J. C. 7 1980 Solution of the Pontrjagin-Vitt equation for the moments of time to first passage of the randomly accelerated particle by the finite element method. Zbl 0465.76082Bergman, L. A.; Heinrich, J. C. 2 1980 Natural convection in inclined square enclosures at high Rayleigh numbers. Zbl 0445.76064Heinrich, J. C.; Strada, M. 1 1980 The finite element method and ’upwinding’ techniques in the numerical solution of convection dominated flow problems. Zbl 0436.76062Heinrich, J. C.; Zienkiewicz, O. C. 19 1979 A unified treatment of steady-state shallow water and two-dimensional Navier-Stokes equations. Finite element penalty function approach. Zbl 0414.76014Zienkiewicz, O. C.; Heinrich, J. C. 10 1979 Solution of nonlinear second order differential equations with significant first derivatives by a Petrov-Galerkin finite element method. Zbl 0458.76032Heinrich, J. C.; Zienkiewicz, O. C. 1 1979 Errata: ’Quadratic finite element schemes for two-dimensional convective transport problems’. Zbl 0391.76004Heinrich, J. C.; Zienkiewicz, O. C. 14 1978 An ’upwind’ finite element scheme for two-dimensional convective transport equation. Zbl 0353.65065Heinrich, J. C.; Huyakorn, P. S.; Zienkiewicz, O. C.; Mitchell, A. R. 116 1977 Quadratic finite element schemes for two-dimensional convective-transport problems. Zbl 0372.76002Heinrich, J. C.; Zienkiewicz, O. C. 29 1977 all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 19 Oñate Ibáñez de Navarra, Eugenio 14 Heinrich, Juan C. 11 Dehghan Takht Fooladi, Mehdi 6 Idelsohn, Sergio Rodolfo 5 Bratsos, Athanassios G. 5 Garcia-Espinosa, Julio 5 Gibou, Frédéric 5 Khayat, Roger E. 5 Mirzaei, Davoud 5 Zabaras, Nicholas J. 4 de Sampaio, Paulo A. B. 4 Rodríguez, N. J. 4 Zienkiewicz, Olgierd Cecil 3 Abd-Elhameed, Waleed Mohamed 3 Eldho, T. I. 3 Felicelli, Sergio D. 3 Hossain, Md. Akram 3 Hughes, Thomas J. R. 3 Jagtap, Ameya D. 3 Jiang, Chaolong 3 Ju, Lili 3 Kanarachos, Andreas E. 3 Kondo, Norio 3 Li, Xiaolin 3 Liu, Wing Kam 3 Miquel, Juan 3 Morton, Keith William 3 Nadukandi, Prashanth 3 Poirier, David R. 3 Tan, Lijian 3 Wang, Song 3 Zhao, Pinghua 2 Angelov, Todor Angelov 2 Antoniadis, Ioannis 2 Baker, Allen J. 2 Beaugendre, Héloïse 2 Bergman, Lawrence A. 2 Boldrini, José Luiz 2 Brooks, Alexander N. 2 Cai, Wenjun 2 Carbonell, Josep Maria 2 Carey, Graham Francis 2 Carrington, David B. 2 Celentano, Diego J. 2 Cheng, Rongjun 2 Chinesta, Francisco 2 Chiumenti, Michele 2 Coutinho, Alvaro L. G. A. 2 Cyron, Christian Johannes 2 Dechaumphai, Pramote 2 Del Pin, Facundo 2 Destuynder, Philippe 2 Dutra do Carmo, Eduardo Gomes 2 Fox, David D. 2 Franci, Alessandro 2 Ghoneim, Adam Yehudi 2 Gomez, Pablo 2 Gravemeier, Volker 2 Gunzburger, Max D. 2 Habashi, Wagdi G. 2 Huerta, Antonio 2 Kadalbajoo, Mohan K. 2 Kleiber, Michal 2 Lewis, Roland W. 2 Li, Xikui 2 Liang, Dong 2 López, Joaquín 2 Luo, Xiaopeng 2 Lyra, Paulo Roberto Maciel 2 Markert, Bernd 2 Min, Chohong 2 Mitchell, Andrew Ronald 2 Mizukami, Akira 2 Navon, Ionel Michael 2 Nissen, Keijo 2 Nithiarasu, Perumal 2 Peng, Yijiang 2 Rifai, M. S. 2 Rojek, Jerzy 2 Sajja, Udaya K. 2 Sansour, Carlo 2 Simo, Juan Carlos 2 Sun, Pengtao 2 Tabata, Masahisa 2 Udaykumar, Holavanahalli S. 2 Valls, Aleix 2 Vasudeva Murthy, A. S. 2 Voller, Vaughan R. 2 Wall, Wolfgang A. 2 Wang, Yushun 2 Wells, Andrew J. 2 Xu, Wei 2 Xu, Xin 2 Yang, George Z. 2 Yang, Yi 2 Yonge, David R. 2 Youssri, Youssri H. 2 Zárate, Francisco 2 Zhao, Weidong 1 Abate, D. ...and 527 more Authors all top 5 Cited in 72 Serials 91 Computer Methods in Applied Mechanics and Engineering 29 Journal of Computational Physics 19 International Journal for Numerical Methods in Engineering 15 Computers and Fluids 15 International Journal for Numerical Methods in Fluids 15 Engineering Analysis with Boundary Elements 14 Applied Mathematics and Computation 12 Applied Mathematical Modelling 9 Computers & Mathematics with Applications 9 Computational Mechanics 8 Journal of Computational and Applied Mathematics 7 Applied Numerical Mathematics 7 Physics of Fluids 5 Mathematics and Computers in Simulation 5 Journal of Scientific Computing 5 International Journal of Computer Mathematics 5 Communications in Numerical Methods in Engineering 5 International Journal of Numerical Methods for Heat & Fluid Flow 4 International Journal of Heat and Mass Transfer 3 Acta Mechanica 3 Computer Physics Communications 3 Applied Mathematics and Mechanics. (English Edition) 3 Numerical Methods for Partial Differential Equations 3 Mathematical Problems in Engineering 3 Engineering Computations 3 International Journal of Computational Methods 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Numerische Mathematik 2 Mathematical and Computer Modelling 2 International Journal of Computational Fluid Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Mathematics in Industry 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Transport Theory and Statistical Physics 1 Wave Motion 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 RAIRO. Analyse Numérique 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Mathematicae Applicatae Sinica. English Series 1 Finite Elements in Analysis and Design 1 Communications in Applied Numerical Methods 1 Numerical Algorithms 1 Tatra Mountains Mathematical Publications 1 Computational and Applied Mathematics 1 Journal of Mathematical Chemistry 1 Mathematics and Mechanics of Solids 1 Discrete Dynamics in Nature and Society 1 Combustion Theory and Modelling 1 Nonlinear Analysis. Modelling and Control 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Journal of Computational Acoustics 1 Boundary Value Problems 1 Differential Equations & Nonlinear Mechanics 1 Progress in Computational Fluid Dynamics 1 Acta Mechanica Sinica 1 Communications in Computational Physics 1 Journal of Nonlinear Science and Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 Mathematical Sciences 1 Computational Methods for Differential Equations 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 23 Fields 198 Fluid mechanics (76-XX) 172 Numerical analysis (65-XX) 82 Partial differential equations (35-XX) 56 Classical thermodynamics, heat transfer (80-XX) 53 Mechanics of deformable solids (74-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Ordinary differential equations (34-XX) 11 Geophysics (86-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year