# zbMATH — the first resource for mathematics

## Brown, Robert A.

Compute Distance To:
 Author ID: brown.robert-a Published as: Brown, R.; Brown, R. A.; Brown, Robert; Brown, Robert A.
 Documents Indexed: 81 Publications since 1967, including 2 Books
all top 5

#### Co-Authors

 1 single-authored 38 Armstrong, Robert C. 6 Beris, Antony N. 5 Smith, Michael D. 4 Bornside, David E. 4 Rajagopalan, Dilip 4 Salamon, Todd R. 3 Green, Micah J. 3 Joo, Yong Lak 3 Mehrabi, M. Reza 3 Northey, Paul J. 3 Scriven, L. E. 3 Tsamopoulos, John A. 3 Yeh, P.-W. 2 Apelian, Minas R. 2 Chang, Chiechun J. 2 Coates, Paul J. 2 Harriott, George M. 2 Lauzon, M. Louis 2 Natarajan, Ramesh 2 Phillips, Ronald J. 2 Sun, Jiguang 2 Sureshkumar, Radhakrishna 1 Abbott, James R. 1 Adornato, Peter M. 1 Bose, Arijit 1 Burdette, Steven R. 1 Byars, Jeffrey A. 1 Caola, A. E. 1 Caswell, Bruce 1 Davis, Stephen H. 1 Ettouney, Hisham M. 1 Frayne, Richard 1 Genieser, L. 1 Graham, Alan L. 1 Kim-E, M. E. 1 King, Robert C. 1 Law, Alan G. 1 Liu, Alice W. 1 Lunsmann, W. J. 1 McKinley, Gareth H. 1 Mendelson, M. A. 1 Mitchell, J. Ross 1 Nayak, Rupaj Kumar 1 Oztekin, Alparslan 1 Ross, Roderick A. 1 Silliman, William J. 1 Singpurwalla, Nozer D. 1 Suen, Jason K. C. 1 Szady, M. J. 1 Villanueva-Oller, Javier 1 Villanueva, Rafael-Jacinto 1 Wright, Mary H. 1 Zhu, Hongtao
all top 5

#### Serials

 27 Journal of Non-Newtonian Fluid Mechanics 8 Journal of Fluid Mechanics 5 Physics of Fluids 3 Journal of Computational Physics 2 Journal of Scientific Computing 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Physics of Fluids 1 Physics of Fluids, A 1 Theoretical and Computational Fluid Dynamics 1 Journal of the American Statistical Association 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 IEEE Transactions on Signal Processing 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 The ANZIAM Journal 1 The IMA Volumes in Mathematics and its Applications
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#### Fields

 54 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 6 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Associative rings and algebras (16-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

67 Publications have been cited 770 times in 543 Documents Cited by Year
A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Zbl 0742.76009
Phillips, Ronald J.; Armstrong, Robert C.; Brown, Robert A.; Graham, Alan L.; Abbott, James R.
1992
Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity. Zbl 0709.76011
Rajagopalan, Dilip; Armstrong, Robert c.; Brown, Robert A.
1990
Nonlinear oscillations of inviscid drops and bubbles. Zbl 0517.76104
Tsamopoulos, John A.; Brown, Robert A.
1983
Traveling waves on vertical films: Numerical analysis using the finite element method. Zbl 0844.76024
Salamon, Todd R.; Armstrong, Robert C.; Brown, Robert A.
1994
Creeping motion of a sphere through a Bingham plastic. Zbl 0581.76010
Beris, A. N.; Tsamopoulos, J. A.; Armstrong, R. C.; Brown, R. A.
1985
Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparisons of predictions for microstructure and flow fields. Zbl 0938.76011
Liu, Alice W.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1998
Numerically stable finite element techniques for viscoelastic calculations in smooth and singular geometries. Zbl 0666.76034
King, Robert C.; Apelian, Minas R.; Armstrong, Robert C.; Brown, Robert A.
1988
The shape and stability of rotating liquid drops. Zbl 0435.76073
Brown, R. A.; Scriven, L. E.
1980
Finite element analysis of steady viscoelastic flow around a sphere in a tube: Calculations with constant viscosity models. Zbl 0780.76010
Lunsmann, W. J.; Genieser, L.; Armstrong, R. C.; Brown, R. A.
1993
Finite-element methods for steady solidification problems. Zbl 0503.65074
Ettouney, Hisham M.; Brown, Robert A.
1983
Impact of the constitutive equation and singularity on the calculation of stick-slip flow: The modified upper-convected Maxwell model (MUCM). Zbl 0668.76007
Apelian, Minas R.; Armstrong, Robert C.; Brown, Robert A.
1988
Spectral/finite-element calculations of the flow of a Maxwell fluid between eccentric rotating cylinders. Zbl 0609.76010
Beris, A. N.; Armstrong, R. C.; Brown, R. A.
1987
Observations on the elastic instability in cone-and-plate and parallel- plate flows of a polyisobutylene Boger fluid. Zbl 0731.76005
McKinley, Gareth H.; Byars, Jeffrey A.; Brown, Robert A.; Armstrong, Robert C.
1991
Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS-G/DG. Zbl 0967.76059
Sun, J.; Smith, M. D.; Armstrong, R. C.; Brown, R. A.
1999
Linear stability and dynamics of viscoelastic flows using time-dependent numerical simulations. Zbl 0968.76008
Sureshkumar, R.; Smith, M. D.; Armstrong, R. C.; Brown, R. A.
1999
Multiple buoyancy-driven flows in a vertical cylinder heated from below. Zbl 0573.76079
Yamaguchi, Y.; Chang, C. J.; Brown, R. A.
1984
Approximation error in finite element calculation of viscoelastic fluid flows. Zbl 0481.76003
Mendelson, M. A.; Yeh, P.-W.; Brown, R. A.; Armstrong, R. C.
1982
Boundary-conforming mapping applied to computations of highly deformed solidification interfaces. Zbl 0753.76106
Tsiveriotis, K.; Brown, R. A.
1992
LU decomposition of matrices with augmented dense constraints. Zbl 0616.65033
Thomas, P. D.; Brown, R. A.
1987
Resonant oscillations of inviscid charged drops. Zbl 0583.76119
Tsamopoulos, John A.; Brown, Robert A.
1984
On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations. Zbl 0785.76039
Brown, R. A.; Szady, M. J.; Northey, P. J.; Armstrong, R. C.
1993
Finite-amplitude time-periodic states in viscoelastic Taylor-Couette flow described by the UCM model. Zbl 0746.76065
Northey, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1992
The influence of viscoelasticity on the existence of steady solutions in two-dimensional rimming flow. Zbl 0850.76038
Rajagopalan, Dilip; Phillips, Ronald J.; Armstrong, Robert C.; Brown, Robert A.; Bose, Arijit
1992
Natural convection in steady solidification: Finite element analysis of a two-phase Rayleigh-Bénard problem. Zbl 0598.76096
Chang, Chiechun J.; Brown, Robert A.
1984
The shapes and stability of captive rotating drops. Zbl 0438.76040
Brown, R. A.; Scriven, L. E.
1980
Highly parallel time integration of viscoelastic flows. Zbl 1134.76381
Caola, A. E.; Joo, Y. L.; Armstrong, R. C.; Brown, R. A.
2001
Solution of free-boundary problems using finite-element/Newton methods and locally refined grids: Application to analysis of solidification microstructure. Zbl 0775.76104
Tsiveriotis, K.; Brown, R. A.
1993
Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation. Zbl 0825.76451
Coates, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1992
Finite element calculation of time-dependent two-dimensional viscoelastic flow with the explicitly elliptic momentum equation formulation. Zbl 0708.76010
Northey, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1990
Calculations of viscoelastic flow through an axisymmetric corrugated tube using the explicitly elliptic momentum equation formulation (EEME). Zbl 0679.76012
Burdette, Steven R.; Coates, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1989
Third-order resonance effects and the nonlinear stability of drop oscillations. Zbl 0645.76060
Natarajan, Ramesh; Brown, Robert A.
1987
Perturbation theory for viscoelastic fluids between eccentric rotating cylinders. Zbl 0548.76010
Beris, A.; Armstrong, R. C.; Brown, R. A.
1983
The role of surface tension in the dominant balance in the die swell singularity. Zbl 1026.76514
Salamon, Todd R.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1995
Finite-element methods for analysis of the dynamics and control of Czochralski crystal growth. Zbl 0666.65086
Derby, J. J.; Atherton, L. J.; Thomas, P. D.; Brown, R. A.
1987
Finite element calculation of viscoelastic flow in a journal bearing. I: Small eccentricities. Zbl 0559.76015
Beris, A. N.; Armstrong, R. C.; Brown, R. A.
1984
The dependence of the shape and stability of captive rotating drops on multiple parameters. Zbl 0495.76091
Ungar, L. H.; Brown, R. A.
1982
Two-dimensional numerical analysis of non-isothermal melt spinning with and without phase transition. Zbl 0987.76523
Joo, Y. L.; Sun, J.; Smith, M. D.; Armstrong, R. C.; Brown, R. A.; Ross, R. A.
2002
Finite element analysis of stability of two-dimensional viscoelastic flows to three-dimensional perturbations. Zbl 0990.76047
Smith, M. D.; Armstrong, R. C.; Brown, R. A.; Sureshkumar, R.
2000
Local similarity solutions in the presence of a slip boundary condition. Zbl 1185.76817
Salamon, Todd R.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1997
Instability of a viscoelastic fluid between rotating parallel disks: Analysis for the Oldroyd-B fluid. Zbl 0800.76128
Öztekin, Alparslan; Brown, Robert A.
1993
Calculation of steady viscoelastic flow using a multimode Maxwell model: Application of the explicitly elliptic momentum equation (EEME) formulation. Zbl 0708.76011
Rajagopalan, Dilip; Armstrong, Robert C.; Brown, Robert A.
1990
Galerkin finite element analysis of complex viscoelastic flows. Zbl 0607.76006
Brown, R. A.; Armstrong, R. C.; Beris, A. N.; Yeh, P.-W.
1986
Quadratic resonance in the three-dimensional oscillations of inviscid drops with surface tension. Zbl 0606.76113
Natarajan, Ramesh; Brown, Robert A.
1986
Finite element calculation of viscoelastic flow in a journal bearing. II. Moderate eccentricity. Zbl 0598.76014
Beris, A. N.; Armstrong, R. C.; Brown, R. A.
1986
Comparison of boundary and finite element methods for moving-boundary problems governed by a potential. Zbl 0594.65083
Hume, E. C. III; Brown, R. A.; Deen, W. M.
1985
Finite element methods for unsteady solidification problems arising in prediction of morphological structure. Zbl 0658.76087
Ungar, L. H.; Ramprasad, N.; Brown, R. A.
1988
Petrov-Galerkin methods for natural convection in directional solidification of binary alloys. Zbl 0628.76085
Adornato, Peter M.; Brown, Robert A.
1987
Computer-aided analysis of nonlinear problems in transport phenomena. Zbl 0474.76080
Brown, Robert A.; Scriven, L. E.; Silliman, William J.
1980
Linear stability analysis of flow of an Oldroyd-B fluid through a linear array of cylinders. Zbl 1083.76515
Smith, M. D.; Joo, Y. L.; Armstrong, R. C.; Brown, R. A.
2003
Local similarity solutions for the stress field of an Oldroyd-B fluid in the partial-slip/slip flow. Zbl 1185.76434
Salamon, Todd R.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1997
Multiple solutions in the calculation of axisymmetric contraction flow of an upper convected Maxwell fluid. Zbl 0546.76009
Yeh, P. W.; Kim-E, M. E.; Armstrong, R. C.; Brown, R. A.
1984
Finite-element methods for the calculation of capillary surfaces. Zbl 0427.76038
Brown, Robert A.
1979
A general description of linear time-frequency transforms and formulation of a fast, invertible transform that samples the continuous $$S$$-transform spectrum nonredundantly. Zbl 1392.94114
Brown, Robert A.; Lauzon, M. Louis; Frayne, Richard
2010
Nonhomogeneous shear flow in concentrated liquid-crystalline solutions. Zbl 1182.76289
Green, Micah J.; Brown, Robert A.; Armstrong, Robert C.
2007
A wavelet-Galerkin method for simulating the Doi model with orientation-dependent rotational diffusivity. Zbl 1058.76051
Suen, J. K.; Nayak, R.; Armstrong, R. C.; Brown, R. A.
2003
An incomplete nested dissection algorithm for parallel direct solution of finite element discretizations of partial differential equations. Zbl 0813.65123
Mehrabi, M. Reza; Brown, Robert A.
1993
Flow in a differentially rotated cylindrical drop at moderate Reynolds number. Zbl 0559.76101
Harriott, George M.; Brown, Robert A.
1984
Rheological phase diagrams for nonhomogeneous flows of rodlike liquid crystalline polymers. Zbl 1274.76150
Green, Micah J.; Brown, Robert A.; Armstrong, Robert C.
2009
Creeping flow of a conducting fluid past axisymmetric bodies in the presence of an aligned magnetic field. Zbl 0718.76130
Kyrlidis, A.; Brown, R. A.; Walker, J. S.
1990
Flow in a differentially rotated cylindrical drop at low Reynolds number. Zbl 0515.76113
Harriott, George M.; Brown, Robert A.
1983
Progressive imaging: $$S$$-transform order. Zbl 1081.68735
Zhu, H.; Brown, R. A.; Villanueva, R. J.; Villanueva-Oller, J.; Lauzon, M. L.; Mitchell, J. R.; Law, A. G.
2004
Decompositions of D1 modules. Zbl 0891.16006
Brown, Robert A.; Wright, Mary H.
1997
Comparison of computational efficiency of flow simulations with multimode constitutive equations: Integral and differential models. Zbl 0775.76101
Rajagopalan, Dilip; Armstrong, Robert C.; Brown, Robert A.
1993
Combinatorial aspects of C. A. R. Hoare’s FIND algorithm. Zbl 0752.68021
Anderson, D. H.; Brown, R.
1992
Finite element calculation of buoyancy-driven convection near a melt/solid phase boundary. Zbl 0515.76007
Chang, Chiechun J.; Brown, Robert A.
1983
Robustness of the studentized range statistic. Zbl 0277.62058
Brown, R. A.
1974
Computer derivation of algebraic equations associated with Runge-Kutta formulas. Zbl 0149.37701
Sarafyan, Diran; Brown, Robert
1967
A general description of linear time-frequency transforms and formulation of a fast, invertible transform that samples the continuous $$S$$-transform spectrum nonredundantly. Zbl 1392.94114
Brown, Robert A.; Lauzon, M. Louis; Frayne, Richard
2010
Rheological phase diagrams for nonhomogeneous flows of rodlike liquid crystalline polymers. Zbl 1274.76150
Green, Micah J.; Brown, Robert A.; Armstrong, Robert C.
2009
Nonhomogeneous shear flow in concentrated liquid-crystalline solutions. Zbl 1182.76289
Green, Micah J.; Brown, Robert A.; Armstrong, Robert C.
2007
Progressive imaging: $$S$$-transform order. Zbl 1081.68735
Zhu, H.; Brown, R. A.; Villanueva, R. J.; Villanueva-Oller, J.; Lauzon, M. L.; Mitchell, J. R.; Law, A. G.
2004
Linear stability analysis of flow of an Oldroyd-B fluid through a linear array of cylinders. Zbl 1083.76515
Smith, M. D.; Joo, Y. L.; Armstrong, R. C.; Brown, R. A.
2003
A wavelet-Galerkin method for simulating the Doi model with orientation-dependent rotational diffusivity. Zbl 1058.76051
Suen, J. K.; Nayak, R.; Armstrong, R. C.; Brown, R. A.
2003
Two-dimensional numerical analysis of non-isothermal melt spinning with and without phase transition. Zbl 0987.76523
Joo, Y. L.; Sun, J.; Smith, M. D.; Armstrong, R. C.; Brown, R. A.; Ross, R. A.
2002
Highly parallel time integration of viscoelastic flows. Zbl 1134.76381
Caola, A. E.; Joo, Y. L.; Armstrong, R. C.; Brown, R. A.
2001
Finite element analysis of stability of two-dimensional viscoelastic flows to three-dimensional perturbations. Zbl 0990.76047
Smith, M. D.; Armstrong, R. C.; Brown, R. A.; Sureshkumar, R.
2000
Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS-G/DG. Zbl 0967.76059
Sun, J.; Smith, M. D.; Armstrong, R. C.; Brown, R. A.
1999
Linear stability and dynamics of viscoelastic flows using time-dependent numerical simulations. Zbl 0968.76008
Sureshkumar, R.; Smith, M. D.; Armstrong, R. C.; Brown, R. A.
1999
Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparisons of predictions for microstructure and flow fields. Zbl 0938.76011
Liu, Alice W.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1998
Local similarity solutions in the presence of a slip boundary condition. Zbl 1185.76817
Salamon, Todd R.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1997
Local similarity solutions for the stress field of an Oldroyd-B fluid in the partial-slip/slip flow. Zbl 1185.76434
Salamon, Todd R.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1997
Decompositions of D1 modules. Zbl 0891.16006
Brown, Robert A.; Wright, Mary H.
1997
The role of surface tension in the dominant balance in the die swell singularity. Zbl 1026.76514
Salamon, Todd R.; Bornside, David E.; Armstrong, Robert C.; Brown, Robert A.
1995
Traveling waves on vertical films: Numerical analysis using the finite element method. Zbl 0844.76024
Salamon, Todd R.; Armstrong, Robert C.; Brown, Robert A.
1994
Finite element analysis of steady viscoelastic flow around a sphere in a tube: Calculations with constant viscosity models. Zbl 0780.76010
Lunsmann, W. J.; Genieser, L.; Armstrong, R. C.; Brown, R. A.
1993
On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations. Zbl 0785.76039
Brown, R. A.; Szady, M. J.; Northey, P. J.; Armstrong, R. C.
1993
Solution of free-boundary problems using finite-element/Newton methods and locally refined grids: Application to analysis of solidification microstructure. Zbl 0775.76104
Tsiveriotis, K.; Brown, R. A.
1993
Instability of a viscoelastic fluid between rotating parallel disks: Analysis for the Oldroyd-B fluid. Zbl 0800.76128
Öztekin, Alparslan; Brown, Robert A.
1993
An incomplete nested dissection algorithm for parallel direct solution of finite element discretizations of partial differential equations. Zbl 0813.65123
Mehrabi, M. Reza; Brown, Robert A.
1993
Comparison of computational efficiency of flow simulations with multimode constitutive equations: Integral and differential models. Zbl 0775.76101
Rajagopalan, Dilip; Armstrong, Robert C.; Brown, Robert A.
1993
A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Zbl 0742.76009
Phillips, Ronald J.; Armstrong, Robert C.; Brown, Robert A.; Graham, Alan L.; Abbott, James R.
1992
Boundary-conforming mapping applied to computations of highly deformed solidification interfaces. Zbl 0753.76106
Tsiveriotis, K.; Brown, R. A.
1992
Finite-amplitude time-periodic states in viscoelastic Taylor-Couette flow described by the UCM model. Zbl 0746.76065
Northey, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1992
The influence of viscoelasticity on the existence of steady solutions in two-dimensional rimming flow. Zbl 0850.76038
Rajagopalan, Dilip; Phillips, Ronald J.; Armstrong, Robert C.; Brown, Robert A.; Bose, Arijit
1992
Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation. Zbl 0825.76451
Coates, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1992
Combinatorial aspects of C. A. R. Hoare’s FIND algorithm. Zbl 0752.68021
Anderson, D. H.; Brown, R.
1992
Observations on the elastic instability in cone-and-plate and parallel- plate flows of a polyisobutylene Boger fluid. Zbl 0731.76005
McKinley, Gareth H.; Byars, Jeffrey A.; Brown, Robert A.; Armstrong, Robert C.
1991
Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity. Zbl 0709.76011
Rajagopalan, Dilip; Armstrong, Robert c.; Brown, Robert A.
1990
Finite element calculation of time-dependent two-dimensional viscoelastic flow with the explicitly elliptic momentum equation formulation. Zbl 0708.76010
Northey, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1990
Calculation of steady viscoelastic flow using a multimode Maxwell model: Application of the explicitly elliptic momentum equation (EEME) formulation. Zbl 0708.76011
Rajagopalan, Dilip; Armstrong, Robert C.; Brown, Robert A.
1990
Creeping flow of a conducting fluid past axisymmetric bodies in the presence of an aligned magnetic field. Zbl 0718.76130
Kyrlidis, A.; Brown, R. A.; Walker, J. S.
1990
Calculations of viscoelastic flow through an axisymmetric corrugated tube using the explicitly elliptic momentum equation formulation (EEME). Zbl 0679.76012
Burdette, Steven R.; Coates, Paul J.; Armstrong, Robert C.; Brown, Robert A.
1989
Numerically stable finite element techniques for viscoelastic calculations in smooth and singular geometries. Zbl 0666.76034
King, Robert C.; Apelian, Minas R.; Armstrong, Robert C.; Brown, Robert A.
1988
Impact of the constitutive equation and singularity on the calculation of stick-slip flow: The modified upper-convected Maxwell model (MUCM). Zbl 0668.76007
Apelian, Minas R.; Armstrong, Robert C.; Brown, Robert A.
1988
Finite element methods for unsteady solidification problems arising in prediction of morphological structure. Zbl 0658.76087
Ungar, L. H.; Ramprasad, N.; Brown, R. A.
1988
Spectral/finite-element calculations of the flow of a Maxwell fluid between eccentric rotating cylinders. Zbl 0609.76010
Beris, A. N.; Armstrong, R. C.; Brown, R. A.
1987
LU decomposition of matrices with augmented dense constraints. Zbl 0616.65033
Thomas, P. D.; Brown, R. A.
1987
Third-order resonance effects and the nonlinear stability of drop oscillations. Zbl 0645.76060
Natarajan, Ramesh; Brown, Robert A.
1987
Finite-element methods for analysis of the dynamics and control of Czochralski crystal growth. Zbl 0666.65086
Derby, J. J.; Atherton, L. J.; Thomas, P. D.; Brown, R. A.
1987
Petrov-Galerkin methods for natural convection in directional solidification of binary alloys. Zbl 0628.76085
Adornato, Peter M.; Brown, Robert A.
1987
Galerkin finite element analysis of complex viscoelastic flows. Zbl 0607.76006
Brown, R. A.; Armstrong, R. C.; Beris, A. N.; Yeh, P.-W.
1986
Quadratic resonance in the three-dimensional oscillations of inviscid drops with surface tension. Zbl 0606.76113
Natarajan, Ramesh; Brown, Robert A.
1986
Finite element calculation of viscoelastic flow in a journal bearing. II. Moderate eccentricity. Zbl 0598.76014
Beris, A. N.; Armstrong, R. C.; Brown, R. A.
1986
Creeping motion of a sphere through a Bingham plastic. Zbl 0581.76010
Beris, A. N.; Tsamopoulos, J. A.; Armstrong, R. C.; Brown, R. A.
1985
Comparison of boundary and finite element methods for moving-boundary problems governed by a potential. Zbl 0594.65083
Hume, E. C. III; Brown, R. A.; Deen, W. M.
1985
Multiple buoyancy-driven flows in a vertical cylinder heated from below. Zbl 0573.76079
Yamaguchi, Y.; Chang, C. J.; Brown, R. A.
1984
Resonant oscillations of inviscid charged drops. Zbl 0583.76119
Tsamopoulos, John A.; Brown, Robert A.
1984
Natural convection in steady solidification: Finite element analysis of a two-phase Rayleigh-Bénard problem. Zbl 0598.76096
Chang, Chiechun J.; Brown, Robert A.
1984
Finite element calculation of viscoelastic flow in a journal bearing. I: Small eccentricities. Zbl 0559.76015
Beris, A. N.; Armstrong, R. C.; Brown, R. A.
1984
Multiple solutions in the calculation of axisymmetric contraction flow of an upper convected Maxwell fluid. Zbl 0546.76009
Yeh, P. W.; Kim-E, M. E.; Armstrong, R. C.; Brown, R. A.
1984
Flow in a differentially rotated cylindrical drop at moderate Reynolds number. Zbl 0559.76101
Harriott, George M.; Brown, Robert A.
1984
Nonlinear oscillations of inviscid drops and bubbles. Zbl 0517.76104
Tsamopoulos, John A.; Brown, Robert A.
1983
Finite-element methods for steady solidification problems. Zbl 0503.65074
Ettouney, Hisham M.; Brown, Robert A.
1983
Perturbation theory for viscoelastic fluids between eccentric rotating cylinders. Zbl 0548.76010
Beris, A.; Armstrong, R. C.; Brown, R. A.
1983
Flow in a differentially rotated cylindrical drop at low Reynolds number. Zbl 0515.76113
Harriott, George M.; Brown, Robert A.
1983
Finite element calculation of buoyancy-driven convection near a melt/solid phase boundary. Zbl 0515.76007
Chang, Chiechun J.; Brown, Robert A.
1983
Approximation error in finite element calculation of viscoelastic fluid flows. Zbl 0481.76003
Mendelson, M. A.; Yeh, P.-W.; Brown, R. A.; Armstrong, R. C.
1982
The dependence of the shape and stability of captive rotating drops on multiple parameters. Zbl 0495.76091
Ungar, L. H.; Brown, R. A.
1982
The shape and stability of rotating liquid drops. Zbl 0435.76073
Brown, R. A.; Scriven, L. E.
1980
The shapes and stability of captive rotating drops. Zbl 0438.76040
Brown, R. A.; Scriven, L. E.
1980
Computer-aided analysis of nonlinear problems in transport phenomena. Zbl 0474.76080
Brown, Robert A.; Scriven, L. E.; Silliman, William J.
1980
Finite-element methods for the calculation of capillary surfaces. Zbl 0427.76038
Brown, Robert A.
1979
Robustness of the studentized range statistic. Zbl 0277.62058
Brown, R. A.
1974
Computer derivation of algebraic equations associated with Runge-Kutta formulas. Zbl 0149.37701
Sarafyan, Diran; Brown, Robert
1967
all top 5

#### Cited by 994 Authors

 17 Brown, Robert A. 16 Tsamopoulos, John A. 12 Armstrong, Robert C. 10 Frigaard, Ian A. 9 Basaran, Osman A. 9 Phillips, Timothy N. 8 Dimakopoulos, Yannis 7 Derby, Jeffrey J. 7 Oron, Alexander 7 Phan-Thien, Nhan 6 Beris, Antony N. 6 Khayat, Roger E. 6 Lee, Hyesuk Kwon 6 Webster, Michael F. 5 Bertozzi, Andrea Louise 5 Gottlieb, Oded 5 Hulsen, Martien A. 5 Massoudi, Mehrdad 5 Tanner, Roger I. 4 Alves, Manuel A. 4 Bhattacharya, Sukalyan 4 Fomin, Sergei A. 4 Hormozi, Sarah 4 Joo, Yong Lak 4 Khomami, Bamin 4 Kumar, Satish 4 Leal, L. Gary 4 Mammoli, Andrea Alberto 4 Pinho, Fernando T. 4 Salamon, Todd R. 4 Steen, Paul H. 4 Sureshkumar, Radhakrishna 4 Tanguy, Philippe A. 4 Wu, Weitao 3 Alexander, J. Iwan D. 3 Bonnecaze, Roger T. 3 Borkar, Abhay 3 Bornside, David E. 3 Bostwick, J. B. 3 Burghelea, Teodor 3 Chatzidai, N. 3 Chauvière, Cédric 3 Chen, Tsu-Fen 3 Chernova, M. O. 3 Clermont, Jean-Robert 3 Cox, Christopher L. 3 Dubljevic, Stevan S. 3 Er-Riani, Mustapha 3 Fiétier, Nicolas 3 Fortin, André 3 Green, Micah J. 3 Guénette, Robert 3 Ingber, Marc S. 3 Jin, Hao 3 Jovanović, Mihailo R. 3 Lan, Chi-Wei 3 Leighton, David T. jun. 3 Lewis, Debra 3 Liang, Mei-Chu 3 Liu, Chia-Chen 3 Lopez Camino, Rafael 3 Lukovsky, Ivan Oleksandrovych 3 Martinez, D. Mark 3 McKinley, Gareth H. 3 Mu, Yue 3 Olagunju, David O. 3 Owens, Robert G. 3 Pasquali, Matteo 3 Peters, Gerrit W. M. 3 Phillips, Ronald J. 3 Powell, Robert L. 3 Prosperetti, Andrea 3 Reddy, Junuthula Narasimha 3 Romkes, Albert 3 Ruyer-Quil, Christian 3 Salinger, Andrew G. 3 Scriven, L. E. 3 Shapley, Nina C. 3 Shaw, Stephen James 3 Slobozhanin, Lev A. 3 Surana, Karan S. 3 Tomé, Murilo F. 3 Usha, R. 3 Zhao, Guoqun 2 Abedijaberi, Arash 2 Adams, Nikolaus A. 2 Alba, K. 2 Ambravaneswaran, Balasubramanian 2 Antaki, James F. 2 Arora, Dhruv 2 Aubry, Nadine 2 Balmforth, Neil J. 2 Beard, Kenneth V. 2 Behr, Marek A. 2 Borhan, Ali 2 Bose, Arijit 2 Brandt, Luca 2 Brenner, Howard 2 Butler, Jason E. 2 Carroll, Colman P. ...and 894 more Authors
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#### Cited in 91 Serials

 103 Journal of Fluid Mechanics 87 Physics of Fluids 39 Journal of Non-Newtonian Fluid Mechanics 35 Journal of Computational Physics 30 Computer Methods in Applied Mechanics and Engineering 24 International Journal for Numerical Methods in Fluids 22 Computers and Fluids 11 Applied Mathematics and Computation 10 Applied Mathematical Modelling 9 Computers & Mathematics with Applications 8 International Journal of Heat and Mass Transfer 8 European Journal of Mechanics. B. Fluids 7 Engineering Analysis with Boundary Elements 6 Journal of Engineering Mathematics 6 Theoretical and Computational Fluid Dynamics 6 Computational Mechanics 5 International Journal of Engineering Science 5 Journal of Mathematical Analysis and Applications 5 International Journal for Numerical Methods in Engineering 5 Physica D 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Physics of Fluids, A 4 Journal of Computational and Applied Mathematics 4 Journal of Scientific Computing 4 Engineering Computations 3 Acta Mechanica 3 Archive for Rational Mechanics and Analysis 3 Fluid Dynamics 3 Applied Numerical Mathematics 3 Mathematical and Computer Modelling 3 Journal of Applied Mechanics and Technical Physics 3 Acta Mechanica Sinica 2 Rheologica Acta 2 Numerical Methods for Partial Differential Equations 2 European Journal of Applied Mathematics 2 Communications in Numerical Methods in Engineering 2 Journal of Mathematical Sciences (New York) 2 International Journal of Computational Fluid Dynamics 2 International Journal for Computational Methods in Engineering Science and Mechanics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Ingenieur-Archiv 1 International Journal of Control 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Automatica 1 Manuscripta Mathematica 1 Mechanics Research Communications 1 Rendiconti del Seminario Matematico della Università di Padova 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 Communications in Statistics. Simulation and Computation 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 The Electronic Journal of Combinatorics 1 Integral Transforms and Special Functions 1 European Journal of Control 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 RAIRO. Theoretical Informatics and Applications 1 Journal of High Energy Physics 1 Doklady Physics 1 Journal of Nonlinear Mathematical Physics 1 Archives of Computational Methods in Engineering 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Advances in Difference Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 ISRN Mathematical Physics
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#### Cited in 31 Fields

 499 Fluid mechanics (76-XX) 60 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 44 Classical thermodynamics, heat transfer (80-XX) 20 Mechanics of deformable solids (74-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Biology and other natural sciences (92-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)