. [. Natarajan-v, A parallel and memory efficient algorithm for constructing the contour tree, 2015 IEEE Pacific Visualization Symposium (PacificVis) (2015), pp.271-278

B. I. Guo-b, The h, p and h-p version of the finite element method: Basis theory and applications, Adv. Eng. Softw, vol.15, issue.1, pp.3-4, 1992.

[. , W. G. , T. J. Pascucci-v, and B. J. Day-m, Interactive exploration and analysis of large-scale simulations using topology-based data segmentation, IEEE Transactions on Visualization and Computer Graphics, vol.17, issue.9 2, pp.1307-1324, 2011.

[. Lenz-t and L. X. , Simple and optimal output-sensitive construction of contour trees using monotone paths, Computational Geometry, vol.30, issue.2, pp.165-195, 2005.

. [. Leiserson-c, . L. Rivest-r, and . Stein-c, Introduction to Algorithms, 2009.

C. , M. D. , C. A. Bolis-a, R. G. Mengaldo-g, G. D. et al., Nektar++: An open-source spectral/ element framework, Computer Physics Communications, vol.192, issue.1, pp.205-219, 2015.

C. H. and S. J. Axen-u, Computing contour trees in all dimensions, Computational Geometry, vol.24, issue.2, pp.75-94, 2003.

. Nucha, Computing Contour Trees for 2D Piecewise Polynomial Functions Nonlinear particle tracking for high-order elements, Journal of Computational Physics, vol.172, issue.1 1, pp.356-386, 2001.

]. Csvdp10, S. J. Carr-h, and . Van-de-panne-m, Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree, Comput. Geom. Theory Appl, vol.43, issue.2, pp.42-58, 2010.

Y. [. Vegter-g, Certified computation of planar morse-smale complexes, Proceedings of the 2012 symposuim on Computational Geometry, SoCG '12, pp.3-40, 2017.
DOI : 10.1145/2261250.2261288

W. [. Sewell-c and A. J. , Parallel peak pruning for scalable smp contour tree computation, 6th IEEE Symposium on Large Data Analysis and Visualization, 2016.

D. Berg-m and . Van-kreveld-m, Trekking in the Alps without freezing or getting tired, Algorithmica, vol.18, issue.3, pp.306-323, 1997.
DOI : 10.1007/3-540-57273-2_49

D. H. Natarajan-v, Output-sensitive construction of reeb graphs, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.1 2, pp.146-159, 2012.

N. [. Natarajan-v, An exploration framework to identify and track movement of cloud systems, IEEE Transactions on Visualization and Computer Graphics, vol.19, issue.2, pp.2896-2905, 2013.

D. S. Natarajan-v, W. G. Pas-cucci-v, and . Hamann-b, Topology-guided tessellation of quadratic elements A preliminary version of this paper, Proceedings of the 17th International Symposium on Algorithms and Computation, pp.195-211, 2006.

A. [. Takeshima-y and . Takahashi-s, Volume data mining using 3d field topology analysis, IEEE Comput. Graph. Appl, vol.20, issue.5 2, pp.46-51, 2000.

J. [. Fortin-p and T. J. , Contour forests: Fast multi-threaded augmented contour trees, 6th IEEE Symposium on Large Data Analysis and Visualization, 2016.

K. R. Thompson-d, Rendering higher order finite element surfaces in hardware, Proceedings of the 1st International Conference on Computer Graphics and Interactive Techniques in Australasia and South East Asia GRAPHITE'03, pp.211-212, 2003.

L. A. Pascucci-v, G. A. , B. J. , K. H. , and C. J. Bremer-p.-t, In-situ feature extraction of large scale combustion simulations using segmented merge trees, SC14: International Conference for High Performance Computing, Networking, Storage and Analysis, pp.1020-1031, 2014.

[. S. and D. H. Natarajan-v, A hybrid parallel algorithm for computing and tracking level set topology, High Performance Computing (HiPC), 2012 19th International Conference on, pp.1-10, 2012.

N. B. , K. R. Nelson-b, K. R. Liu-e, and . Haimes-r, Ray-tracing polymorphic multidomain spectral/hp elements for isosurface rendering Elvis: A system for the accurate and interactive visualization of high-order finite element solutions, IEEE Transactions on Visualization and Computer Graphics IEEE Transactions on Visualization and Computer Graphics, vol.12, issue.18 1, pp.114-125, 2006.

*. C. Pagot, O. D. Sadlo-f, W. D. Ertl-t, and C. J. , Efficient Parallel Vectors Feature Extraction from Higher-Order Data, Computer Graphics Forum, vol.16, issue.6, 2011.
DOI : 10.1111/j.1467-8659.2011.01924.x

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.683.446

[. Chevaugeon-n and . Marchandise-Ã, Efficient visualization of high-order finite elements, International Journal for Numerical Methods in Engineering, vol.69, issue.4 1, pp.750-771, 2007.

S. W. Bertel-f, . Malaterre-m, . D. Thomp-son, . P. Pebay-p, and T. R. O-'bara, Methods and framework for visualizing higher-order finite elements, IEEE Transactions on Visualization and Computer Graphics, vol.12, issue.4 1, pp.446-460, 2006.

]. Sch and . Schmidt-k, Concepts -Numerical C++ Library for partial differential equations

S. , S. H. Seidel-h.-p, and . Weinkauf-t, Extended Branch Decomposition Graphs: Structural Comparison of Scalar Data, Computer Graphics Forum, issue.2, 2014.

T. D. Natarajan-v, Symmetry in scalar field topology, IEEE Transactions on Visualization and Computer Graphics, vol.17, issue.12 2, pp.2035-2044, 2011.

T. S. Takeshima-y and . Fujishiro-i, Topological volume skeletonization and its application to transfer function design, Graphical Models, vol.66, issue.1 2, pp.24-49, 2004.

T. S. Vyalyi-m, Construction of contour trees in 3d in o(n log n) steps, Proceedings of the Fourteenth Annual Symposium on Computational Geometry SCG '98, ACM, pp.68-75, 1998.

. Van-kreveld-m, . Van-oostrum-r, . Bajaj-c, . Pas-cucci-v, and . Schikore-d, Contour trees and small seed sets for isosurface traversal, Proceedings of the thirteenth annual symposium on Computational geometry , SCG '97, pp.212-220, 1997.
DOI : 10.1145/262839.269238

W. G. Bremer-p.-t, B. S. Day-m, and . Pascucci-v, Feature tracking using reeb graphs, Topological Methods in Data Analysis and Visualization: Theory, Algorithms, and Applications, pp.241-253, 2011.

*. , W. D. Childs-h, . F. Gregorski-b, and J. K. Hamann-b, Contouring curved quadratic elements, VisSym, 2003.

W. , W. G. Dillard-s, . Carr-h, . Pascucci-v, and . Hamann-b, Topology-controlled volume rendering, IEEE Transactions on Visualization and Computer Graphics, vol.13, issue.2 2, pp.330-341, 2007.