Facultade de Matemáticas
Facultad
Patrick
Joly
Publicacións nas que colabora con Patrick Joly (17)
2021
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NUMERICAL ANALYSIS OF A METHOD FOR SOLVING 2D LINEAR ISOTROPIC ELASTODYNAMICS WITH TRACTION FREE BOUNDARY CONDITION USING POTENTIALS AND FINITE ELEMENTS
Mathematics of Computation, Vol. 90, Núm. 330, pp. 1589-1636
2018
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Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements
Journal of Scientific Computing, Vol. 77, Núm. 3, pp. 1832-1873
2017
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Mathematical aspects of variational boundary integral equations for time dependent wave propagation
Journal of Integral Equations and Applications, Vol. 29, Núm. 1, pp. 137-187
2015
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Integral equations for 1D transient wave propagation
Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics
2011
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Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains
Journal of Computational Physics, Vol. 230, Núm. 15, pp. 5877-5907
2010
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Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study
Journal of Computational and Applied Mathematics
2008
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Space time mesh refinement methods
Effective Computational Methods for Wave Propagation (CRC Press), pp. 385-424
2005
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An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave Equation
SIAM Journal on Numerical Analysis, Vol. 43, Núm. 2, pp. 825-859
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Space-time mesh refinement for elastodynamics. Numerical results
Computer Methods in Applied Mechanics and Engineering, Vol. 194, Núm. 2-5 SPEC. ISS., pp. 355-366
2004
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A new space-time mesh refinement method for elastodynamics
ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
2002
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A hybrid approach for the computation of guided modes in integrated optics
Advances in Computational Mathematics, Vol. 16, Núm. 2-3, pp. 229-261
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A method for computing guided waves in integrated optics. Part I: Mathematical analysis
SIAM Journal on Numerical Analysis, Vol. 39, Núm. 2, pp. 596-623
2001
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A method for computing guided waves in integrated optics. Part II: Numerical approximation and error analysis
SIAM Journal on Numerical Analysis, Vol. 39, Núm. 5, pp. 1684-1711
2000
1998
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Mathematical analysis and numerical validation of a new method to compute guided modes in open stratified waveguides
Mathematical and Numerical Aspects of Wave Propagation: Proceedings in Applied Mathematics Series (Society for Industrial and Applied Mathematics), pp. 612-614
1995
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A method to compute guided modes in open stratified waveguides
Third International Conference on Mathematical and Numerical Aspects of Wave Propagation