Recent Publications of Robert J. Renka


     S. B. Johnson and R. J. Renka, Triangle mesh generation by edge
       splitting and angle-based smoothing, Posters, 25th International
       Meshing Roundtable, Sandia National Laboratories, September 26-30,
       2016.

     R. J. Renka, Two simple methods for improving a triangle mesh surface,
       Computer Graphics Forum, 35 (2016), 46-58.  [download pdf file] 

     R. J. Renka, A simple and efficient method for modeling constant
       mean curvature surfaces, SIAM J. Sci. Comput. 37 (2015), pp. A2076-A2099.
       [download pdf file] 
    
     R. J. Renka, Mesh improvement by minimizing a weighted sum of squared
       element volumes, International Journal for Numerical Methods in
       Engineering, 101 (2015), pp. 870-886.  [download pdf file] 

     I. Knowles and R. J. Renka, Methods for numerical differentiation of
       noisy data, Electron. J. Diff. Eqns., Conference 21 (2014), 
       pp. 235-246.  [download pdf file]

     P. Kazemi and R. J. Renka, Tikhonov regularization and Sobolev metrics,
       Electron. J. Diff. Eqns., Conference 21 (2014), pp. 173-181.
       [download pdf file]

     R. J. Renka, A trust region method for constructing triangle-mesh
       approximations of parametric minimal surfaces, Applied Numerical
       Mathematics, 76C, 2014, pp. 93-100, http://dx.doi.org/10.1016/
       j.apnum.2013.10.006.  [download pdf file]

     R. J. Renka, A Sobolev gradient method for treating the steady-state
       incompressible Navier-Stokes equations, Cent. Eur. J. Math., 11
       (2013), 630-641, http://dx.doi.org/10.2478/s11533-013-0201-4.
       [download pdf file] 

     R. J. Renka, Nonlinear least squares and Sobolev gradients,
       Applied Numerical Mathematics 65, 2013, pp. 91-104, http://dx.doi.org/
       10.1016/j.apnum.2012.12.002.  [download pdf file] 

     P. Kazemi and R. J. Renka, Minimization of the Ginzburg-Landau energy 
       functional by a Sobolev gradient trust-region method, Appl. Math.
       Comput., 219, 2013, pp. 5936-5942, http://dx.doi.org/10.1016/
       j.amc.2012.12.038.  [download pdf file] 
  
     P. Kazemi and R. J. Renka, A Levenberg-Marquardt method based on
       Sobolev gradients, Nonlinear Analysis Series A: Theory, Methods &
       Applications, 75, 2012, pp. 6170-6179, http://dx.doi.org/10.1016/
       j.na.2012.06.022.  [download pdf file] 

     Parimah Kazemi and Robert Renka, Nonlinear optimization in Hilbert
        space using Sobolev gradients with applications, Ulmer Seminaire,
        Vol 17, 2012.

     R. J. Renka, Geometric curve modeling with Sobolev gradients, in
       J. W. Neuberger, Sobolev Gradients and Differential Equations,
       Springer Lecture Notes in Mathematics 1670, 2010, pp. 199-208.

     R. J. Renka, Algorithm 893: TSPACK: Tension spline package for curve 
       design and data fitting,  ACM Trans. Math. Softw. 36, 1, Article 7 
       (February 2009), 8 pages. DOI = 10.1145/1486525.1486532 

     R. J. Renka, Image segmentation with a Sobolev gradient method,
       J. Nonlinear Analysis: Theory, Methods and Applications, 71, 12,
       2009, pp. e774-e780, doi:  10.1016/j.na.2008.11.070.  
       [download pdf file] 


     

Last modified: 01/10/2017