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Reducing the condition number for microlocal discretization problems
Armel de La Bourdonnaye, P. Bettess, O. Laghrouche, E. Perrey-Debain and Marc Tolentino Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 362(1816) 541 (2004) https://doi.org/10.1098/rsta.2003.1334
Nouvelles formulations intégrales pour les problèmes de diffraction d'ondes
David P. Levadoux and Bastiaan L. Michielsen ESAIM: Mathematical Modelling and Numerical Analysis 38(1) 157 (2004) https://doi.org/10.1051/m2an:2004008
Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering
E. Perrey-Debain, P. Bettess, O. Laghrouche, et al. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 362(1816) 561 (2004) https://doi.org/10.1098/rsta.2003.1335
Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Coupling of mapped wave infinite elements and plane wave basis finite elements for the Helmholtz equation in exterior domains
Rie Sugimoto and Peter Bettess Communications in Numerical Methods in Engineering 19(10) 761 (2003) https://doi.org/10.1002/cnm.618
A numerical integration scheme for special finite elements for the Helmholtz equation
Peter Bettess, Joseph Shirron, Omar Laghrouche, Bernard Peseux, Rie Sugimoto and Jon Trevelyan International Journal for Numerical Methods in Engineering 56(4) 531 (2003) https://doi.org/10.1002/nme.575
A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation
Rie Sugimoto, Peter Bettess and Jon Trevelyan Communications in Numerical Methods in Engineering 19(3) 233 (2003) https://doi.org/10.1002/cnm.584
Plane wave basis finite‐elements for wave scattering in three dimensions
O. Laghrouche, P. Bettess, E. Perrey‐Debain and J. Trevelyan Communications in Numerical Methods in Engineering 19(9) 715 (2003) https://doi.org/10.1002/cnm.632
Coupling of Fast Multipole Method and Microlocal Discretization for the 3-D Helmholtz Equation
Modelling of short wave diffraction problems using approximating systems of plane waves
O. Laghrouche, P. Bettess and R. J. Astley International Journal for Numerical Methods in Engineering 54(10) 1501 (2002) https://doi.org/10.1002/nme.478
SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS