Riffaud, Sébastien; Bergmann, Michel; Farhat, Charbel; Grimberg, Sebastian; Iollo, Angelo The DGDD method for reduced-order modeling of conservation laws. (English) Zbl 07505919 J. Comput. Phys. 437, Article ID 110336, 19 p. (2021). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{S. Riffaud} et al., J. Comput. Phys. 437, Article ID 110336, 19 p. (2021; Zbl 07505919) Full Text: DOI HAL
Borker, Raunak; Farhat, Charbel; Tezaur, Radek A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection-diffusion problems. (English) Zbl 1439.76052 Comput. Methods Appl. Mech. Eng. 327, 93-117 (2017). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{R. Borker} et al., Comput. Methods Appl. Mech. Eng. 327, 93--117 (2017; Zbl 1439.76052) Full Text: DOI
Borker, Raunak; Farhat, Charbel; Tezaur, Radek A high-order discontinuous Galerkin method for unsteady advection-diffusion problems. (English) Zbl 1380.65250 J. Comput. Phys. 332, 520-537 (2017). MSC: 65M60 65M12 76M10 PDFBibTeX XMLCite \textit{R. Borker} et al., J. Comput. Phys. 332, 520--537 (2017; Zbl 1380.65250) Full Text: DOI
Wang, Dalei; Tezaur, Radek; Farhat, Charbel A hybrid discontinuous in space and time Galerkin method for wave propagation problems. (English) Zbl 1352.65376 Int. J. Numer. Methods Eng. 99, No. 4, 263-289 (2014). MSC: 65M60 PDFBibTeX XMLCite \textit{D. Wang} et al., Int. J. Numer. Methods Eng. 99, No. 4, 263--289 (2014; Zbl 1352.65376) Full Text: DOI
Tezaur, Radek; Kalashnikova, Irina; Farhat, Charbel The discontinuous enrichment method for medium-frequency Helmholtz problems with a spatially variable wavenumber. (English) Zbl 1295.76030 Comput. Methods Appl. Mech. Eng. 268, 126-140 (2014). MSC: 76Q05 65N30 76M10 PDFBibTeX XMLCite \textit{R. Tezaur} et al., Comput. Methods Appl. Mech. Eng. 268, 126--140 (2014; Zbl 1295.76030) Full Text: DOI
Brogniez, S.; Farhat, C.; Hachem, E. A high-order discontinuous Galerkin method with Lagrange multipliers for advection-diffusion problems. (English) Zbl 1286.65150 Comput. Methods Appl. Mech. Eng. 264, 49-66 (2013). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{S. Brogniez} et al., Comput. Methods Appl. Mech. Eng. 264, 49--66 (2013; Zbl 1286.65150) Full Text: DOI
Farhat, Charbel; Toivanen, Jari A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates. (English) Zbl 1250.81040 J. Comput. Phys. 231, No. 14, 4709-4722 (2012). MSC: 81Q10 65M60 35Q55 82B26 PDFBibTeX XMLCite \textit{C. Farhat} and \textit{J. Toivanen}, J. Comput. Phys. 231, No. 14, 4709--4722 (2012; Zbl 1250.81040) Full Text: DOI
Wang, Dalei; Tezaur, Radek; Toivanen, Jari; Farhat, Charbel Overview of the discontinuous enrichment method, the ultra-weak variational formulation, and the partition of unity method for acoustic scattering in the medium frequency regime and performance comparisons. (English) Zbl 1242.76143 Int. J. Numer. Methods Eng. 89, No. 4, 403-417 (2012). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{D. Wang} et al., Int. J. Numer. Methods Eng. 89, No. 4, 403--417 (2012; Zbl 1242.76143) Full Text: DOI
Kalashnikova, Irina; Tezaur, Radek; Farhat, Charbel A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number. (English) Zbl 1242.76125 Int. J. Numer. Methods Eng. 87, No. 1-5, 309-335 (2011). MSC: 76M10 76R50 65N30 PDFBibTeX XMLCite \textit{I. Kalashnikova} et al., Int. J. Numer. Methods Eng. 87, No. 1--5, 309--335 (2011; Zbl 1242.76125) Full Text: DOI
Massimi, Paolo; Tezaur, Radek; Farhat, Charbel A discontinuous enrichment method for the efficient solution of plate vibration problems in the medium-frequency regime. (English) Zbl 1202.74201 Int. J. Numer. Methods Eng. 84, No. 2, 127-148 (2010). MSC: 74S30 74H45 74H15 74K20 PDFBibTeX XMLCite \textit{P. Massimi} et al., Int. J. Numer. Methods Eng. 84, No. 2, 127--148 (2010; Zbl 1202.74201) Full Text: DOI
Farhat, C.; Kalashnikova, I.; Tezaur, R. A higher-order discontinuous enrichment method for the solution of high Péclet advection-diffusion problems on unstructured meshes. (English) Zbl 1183.76805 Int. J. Numer. Methods Eng. 81, No. 5, 604-636 (2010). MSC: 76M10 74R99 80A20 PDFBibTeX XMLCite \textit{C. Farhat} et al., Int. J. Numer. Methods Eng. 81, No. 5, 604--636 (2010; Zbl 1183.76805) Full Text: DOI
Amara, Mohamed; Djellouli, Rabia; Farhat, Charbel Convergence analysis of a discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of Helmholtz problems. (English) Zbl 1205.65298 SIAM J. Numer. Anal. 47, No. 2, 1038-1066 (2009). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N12 65N15 65N30 35J05 76Q05 76M10 PDFBibTeX XMLCite \textit{M. Amara} et al., SIAM J. Numer. Anal. 47, No. 2, 1038--1066 (2009; Zbl 1205.65298) Full Text: DOI Link
Petersen, Steffen; Farhat, Charbel; Tezaur, Radek A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain. (English) Zbl 1183.76813 Int. J. Numer. Methods Eng. 78, No. 3, 275-295 (2009). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{S. Petersen} et al., Int. J. Numer. Methods Eng. 78, No. 3, 275--295 (2009; Zbl 1183.76813) Full Text: DOI
Farhat, Charbel; Tezaur, Radek; Toivanen, Jari A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers. (English) Zbl 1171.76417 Int. J. Numer. Methods Eng. 78, No. 13, 1513-1531 (2009). MSC: 76M10 76Q05 65N55 PDFBibTeX XMLCite \textit{C. Farhat} et al., Int. J. Numer. Methods Eng. 78, No. 13, 1513--1531 (2009; Zbl 1171.76417) Full Text: DOI
Massimi, Paolo; Tezaur, Radek; Farhat, Charbel A discontinuous enrichment method for three-dimensional multiscale harmonic wave propagation problems in multi-fluid and fluid – solid media. (English) Zbl 1195.74292 Int. J. Numer. Methods Eng. 76, No. 3, 400-425 (2008). MSC: 74S30 74J10 76Q05 PDFBibTeX XMLCite \textit{P. Massimi} et al., Int. J. Numer. Methods Eng. 76, No. 3, 400--425 (2008; Zbl 1195.74292) Full Text: DOI
Tezaur, Radek; Zhang, Lin; Farhat, Charbel A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems. (English) Zbl 1194.74476 Comput. Methods Appl. Mech. Eng. 197, No. 19-20, 1680-1698 (2008). MSC: 74S05 76M10 74J10 76B15 PDFBibTeX XMLCite \textit{R. Tezaur} et al., Comput. Methods Appl. Mech. Eng. 197, No. 19--20, 1680--1698 (2008; Zbl 1194.74476) Full Text: DOI
Harari, Isaac; Tezaur, Radek; Farhat, Charbel A study of higher-order discontinuous Galerkin and quadratic least-squares stabilized finite element computations for acoustics. (English) Zbl 1198.76069 J. Comput. Acoust. 14, No. 1, 1-19 (2006). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{I. Harari} et al., J. Comput. Acoust. 14, No. 1, 1--19 (2006; Zbl 1198.76069) Full Text: DOI
Zhang, Lin; Tezaur, Radek; Farhat, Charbel The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime. (English) Zbl 1110.74860 Int. J. Numer. Methods Eng. 66, No. 13, 2086-2114 (2006). MSC: 74S05 74S30 74H15 74J05 PDFBibTeX XMLCite \textit{L. Zhang} et al., Int. J. Numer. Methods Eng. 66, No. 13, 2086--2114 (2006; Zbl 1110.74860) Full Text: DOI
Tezaur, Radek; Farhat, Charbel Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems. (English) Zbl 1110.76319 Int. J. Numer. Methods Eng. 66, No. 5, 796-815 (2006). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{R. Tezaur} and \textit{C. Farhat}, Int. J. Numer. Methods Eng. 66, No. 5, 796--815 (2006; Zbl 1110.76319) Full Text: DOI
Farhat, Charbel; Tezaur, Radek; Weidemann-Goiran, Paul Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems. (English) Zbl 1075.76572 Int. J. Numer. Methods Eng. 61, No. 11, 1938-1956 (2004). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{C. Farhat} et al., Int. J. Numer. Methods Eng. 61, No. 11, 1938--1956 (2004; Zbl 1075.76572) Full Text: DOI
Farhat, Charbel; Wiedemann-Goiran, Paul; Tezaur, Radek A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes. (English) Zbl 1163.74344 Wave Motion 39, No. 4, 307-317 (2004). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{C. Farhat} et al., Wave Motion 39, No. 4, 307--317 (2004; Zbl 1163.74344) Full Text: DOI
Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime. (English) Zbl 1027.76028 Comput. Methods Appl. Mech. Eng. 192, No. 11-12, 1389-1419 (2003). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{C. Farhat} et al., Comput. Methods Appl. Mech. Eng. 192, No. 11--12, 1389--1419 (2003; Zbl 1027.76028) Full Text: DOI
Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P. The discontinuous enrichment method. (English) Zbl 1002.76065 Comput. Methods Appl. Mech. Eng. 190, No. 48, 6455-6479 (2001). MSC: 76M10 76R99 65N30 PDFBibTeX XMLCite \textit{C. Farhat} et al., Comput. Methods Appl. Mech. Eng. 190, No. 48, 6455--6479 (2001; Zbl 1002.76065) Full Text: DOI