Mathematical engineering
Mathematical eng.
École Polytechnique Fédérale de Lausanne
Lausana, SuizaPublications in collaboration with researchers from École Polytechnique Fédérale de Lausanne (20)
2024
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Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems
Advances in Computational Mathematics, Vol. 50, Núm. 5
2023
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Adaptive isogeometric methods with C 1 (truncated) hierarchical splines on planar multi-patch domains
Mathematical Models and Methods in Applied Sciences, Vol. 33, Núm. 9, pp. 1829-1874
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Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries
Computer Methods in Applied Mechanics and Engineering, Vol. 417
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High order geometric methods with splines: Fast solution with explicit time-stepping for Maxwell equations
Journal of Computational Physics, Vol. 493
2022
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Analysis-aware defeaturing: Problem setting and a posteriori estimation
Mathematical Models and Methods in Applied Sciences, Vol. 32, Núm. 2, pp. 359-402
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Mathematical Foundations of Adaptive Isogeometric Analysis
Archives of Computational Methods in Engineering, Vol. 29, Núm. 7, pp. 4479-4555
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Torque Computation With the Isogeometric Mortar Method for the Simulation of Electric Machines
IEEE Transactions on Magnetics, Vol. 58, Núm. 9
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Tree–cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains
Computer Methods in Applied Mechanics and Engineering, Vol. 395
2021
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BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines
Computer Methods in Applied Mechanics and Engineering, Vol. 379
2020
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A minimal stabilization procedure for isogeometric methods on trimmed geometries
SIAM Journal on Numerical Analysis, Vol. 58, Núm. 5, pp. 2711-2736
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Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach
Computer Methods in Applied Mechanics and Engineering, Vol. 364
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BPX preconditioners for isogeometric analysis using analysis-suitable T-splines
IMA Journal of Numerical Analysis, Vol. 40, Núm. 1, pp. 764-799
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Hierarchical B-spline complexes of discrete differential forms
IMA Journal of Numerical Analysis, Vol. 40, Núm. 1, pp. 422-473
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Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries
Computers and Mathematics with Applications, Vol. 80, Núm. 11, pp. 2538-2562
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Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis
Numerische Mathematik, Vol. 144, Núm. 1, pp. 201-236
2019
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Adaptive isogeometric methods with hierarchical splines: An overview
Discrete and Continuous Dynamical Systems- Series A, Vol. 39, Núm. 1, pp. 241-262
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Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
Computer Methods in Applied Mechanics and Engineering, Vol. 348, pp. 660-679
2018
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Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
Applied Numerical Mathematics, Vol. 123, pp. 58-87
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An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations
Journal of Computational Physics, Vol. 362, pp. 264-289
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Refinement algorithms for adaptive isogeometric methods with hierarchical splines
Axioms, Vol. 7, Núm. 3