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hal-00739512v1  Journal articles
Bernard Mourrain, Victor Pan. Multivariate Polynomials, Duality, and Structured Matrices
Journal of Complexity, Elsevier, 2000, 16 (1), pp.110 - 180. ⟨10.1006/jcom.1999.0530⟩
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inria-00070537v1  Conference papers
Bernard Mourrain, Philippe Trebuchet. Generalized normal forms and polynomial system solving
ISSAC 2005 - International Symposium on Symbolic and Algebraic Computation , Jul 2005, Beijing, China. pp.253-260, ⟨10.1145/1073884.1073920⟩
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inria-00436480v1  Conference papers
Dong-Ming Yan, Julien Wintz, Bernard Mourrain, Wenping Wang, Frédéric Boudon et al.  Efficient and robust reconstruction of botanical branching structure from laser scanned points
CAD/Graphics 2009, Aug 2009, Yellow Mountain City, China. pp.572-575
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hal-01356869v1  Conference papers
Philippe Trébuchet, Bernard Mourrain, Marta Abril Bucero. Border Basis for Polynomial System Solving and Optimization
ICMS 2016 - 5th International Conference on Mathematical Software, Jul 2016, Berlin, Germany. pp.212-220, ⟨10.1007/978-3-319-42432-3_27⟩
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hal-01158099v3  Journal articles
Marta Abril Bucero, Chandrajit Bajaj, Bernard Mourrain. On the construction of general cubature formula by flat extensions
Linear Algebra and its Applications, Elsevier, 2016, 502, pp.104-125. ⟨10.1016/j.laa.2015.09.052⟩
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inria-00355713v2  Journal articles
Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias Tsigaridas. Symmetric tensor decomposition
Linear Algebra and its Applications, Elsevier, 2010, 433 (11-12), pp.1851-1872. ⟨10.1016/j.laa.2010.06.046⟩
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hal-00435908v1  Conference papers
Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias Tsigaridas. Symmetric tensor decomposition
17th European Signal Processing Conference 2009., Aug 2009, Glasgow, United Kingdom. pp.525-529
hal-01179417v1  Conference papers
Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud. Algebraic methods and arithmetic filtering for exact predicates on circle arcs
Proceedings of the 16th Annual Symposium on Computational Geometry, 2000, Hong Kong, China. pp.139-147, ⟨10.1145/336154.336194⟩
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hal-00873272v1  Conference papers
Louis Blanchard, Elisa Berrini, Régis Duvigneau, Yann Roux, Bernard Mourrain et al.  Bulbous Bow Shape Optimization
5th International Conference on Computational Methods in Marine Engineering, May 2013, Hamburg, Germany
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hal-00836413v1  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
Journal of Computational Physics, Elsevier, 2013, 252, pp.275-289. ⟨10.1016/j.jcp.2013.06.029⟩
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inria-00530758v2  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Parametrization of computational domain in isogeometric analysis: methods and comparison
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2011, 200 (23-24), pp.2021-2031. ⟨10.1016/j.cma.2011.03.005⟩
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hal-00685002v2  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications
Computer-Aided Design, Elsevier, 2013, Special Issue on Solid and Physical Modeling 2012, 45 (2), pp.395-404. ⟨10.1016/j.cad.2012.10.022⟩
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inria-00440130v3  Conference papers
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Optimal analysis-aware parameterization of computational domain in isogeometric analysis
GMP, Jun 2010, Castro Urdiales, Spain. pp.236-254
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inria-00542271v1  Reports
Louis Blanchard, Régis Duvigneau, Gang Xu, Bernard Mourrain. Hierarchical Optimization in Isogeometric Analysis : Application to Thermal Conduction
[Research Report] RR-7470, INRIA. 2010
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inria-00585663v2  Reports
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
[Research Report] 2011
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inria-00539616v1  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis
Computer-Aided Design, Elsevier, 2013, 45 (4), ⟨10.1016/j.cad.2011.05.007⟩
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hal-00742955v1  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. A New Error Assessment Method in Isogeometric Analysis of 2D Heat Conduction Problems
Advanced Science Letters, American Scientific Publishers, 2012, 10 (1), pp.508-512. ⟨10.1166/asl.2012.3321⟩
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inria-00418403v1  Conference papers
Thang Luu Ba, Laurent Busé, Bernard Mourrain. Curve/surface intersection problem by means of matrix representations
SNC, Aug 2009, Kyoto, Japan. pp.71-78, ⟨10.1145/1577190.1577205⟩
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inria-00098681v1  Journal articles
Laurent Busé, Mohamed Elkadi, Bernard Mourrain. Using projection operators in computer aided geometric design
Contemporary mathematics, American Mathematical Society, 2003, 334, pp.321--342
inria-00170536v1  Books
Mohamed Elkadi, Bernard Mourrain. Introduction à la résolution des systèmes polynomiaux
Springer, 59, pp.307, 2007, Mathématiques et Applications, 978-3-540-71646-4
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inria-00433141v1  Journal articles
Lionel Alberti, Bernard Mourrain, Jean-Pierre Técourt. Isotopic triangulation of a real algebraic surface
Journal of Symbolic Computation, Elsevier, 2009, 44 (9), pp.1291-1310. ⟨10.1016/j.jsc.2008.02.007⟩
inria-00170535v1  Directions of work or proceedings
Bernard Mourrain, Ioannis Z. Emiris, Victor Y. Pan. Special Issue on Algebraic and Numerical Algorithms
Emiris, I. and Mourrain, B. and Pan, Y. V. 315, Elsevier, pp.310, 2004
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inria-00070798v1  Reports
Grégory Gatelier, Abder Labrouzy, Bernard Mourrain, Jean-Pierre Técourt. Computing the topology of three-dimensional algebraic curves
[Research Report] RR-5194, INRIA. 2004, pp.21
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inria-00099487v1  Journal articles
Laurent Busé, Mohamed Elkadi, Bernard Mourrain. Resultant over the residual of a complete intersection
Journal of Pure and Applied Algebra, Elsevier, 2001, Effective methods in algebraic geometry (Bath, 2000), 164 (1-2), pp.35--57
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inria-00350858v1  Journal articles
Bernard Mourrain, Jean-Pierre Técourt, Monique Teillaud. On the Computation of an Arrangement of Quadrics in 3D
Computational Geometry, Elsevier, 2005, 30 (2), pp.145-164. ⟨10.1016/j.comgeo.2004.05.003⟩
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hal-00742505v1  Journal articles
Berdinsky Dmitry, Oh Min-Jae, Kim Taewan, Bernard Mourrain. On the problem of instability in the dimension of a spline space over a T-mesh
Computers and Graphics, Elsevier, 2012, 36 (5), pp.507-513. ⟨10.1016/j.cag.2012.03.005⟩
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hal-00742636v1  Journal articles
Bernard Mourrain, Nelly Villamizar. Homological techniques for the analysis of the dimension of triangular spline spaces
Journal of Symbolic Computation, Elsevier, 2013, 50, pp.564-577. ⟨10.1016/j.jsc.2012.10.002⟩
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hal-00646566v1  Conference papers
Madalina Hodorog, Bernard Mourrain, Joseph Schicho. An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities
11th International Conference on Computational Science and Its Applications (ICCSA), Jun 2011, Santander, Spain. pp.121-131, ⟨10.1007/978-3-642-21931-3_10⟩
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inria-00071370v1  Conference papers
Ioannis Z. Emiris, Bernard Mourrain, Elias Tsigaridas. Real Algebraic Numbers: Complexity Analysis and Experimentations
Reliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
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inria-00542193v1  Conference papers
Mădălina Hodorog, Bernard Mourrain, Josef Schicho. A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity
International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), Sep 2010, Timisoara, Romania. pp.21-28