Application of Discontinuous Galerkin methods

• Ainsworth M, Monk P, Muniz W: Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation, JOURNAL OF SCIENTIFIC COMPUTING 27 (1-3): 5-40 JUN 2006

• Alvarez GB, Loula AFD, do Carmo EGD, et al.:  A discontinuous finite element formulation for Helmholtz equation, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 195 (33-36): 4018-4035 2006

• Feigl K, Senaratne DC: Calculation of the die entry flow of a concentrated polymer solution using micro-macro simulations,  JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME 128 (1): 55-61 JAN 2006

• Cockburn B, Schotzau D, Wang J:  Discontinuous Galerkin methods for incompressible elastic materials , COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 195 (25-28): 3184-3204 2006

• Xu Y, Shu CW: Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 195 (25-28): 3430-3447 2006

• Lin G, Karniadakis GE:  A discontinuous Galerkin method for two-temperature plasmas,  COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 195 (25-28): 3504-3527 2006

• Tezaur R, Farhat C:  Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems,  INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 66 (5): 796-815 APR 30 2006

• Wu WH, Li XK:  Application of the time discontinuous Galerkin finite element method to heat wave simulation, INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 49 (9-10): 1679-1684 MAY 2006

• Liu HL, Yan J:  A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect,  JOURNAL OF COMPUTATIONAL PHYSICS 215 (1): 197-218 JUN 10 2006

• Bernacki M, Lanteri S, Piperno S: Time-domain parallel simulation of heterogeneous wave propagation on unstructured grids using explicit, nondiffusive, discontinuous Galerkin methods,  JOURNAL OF COMPUTATIONAL ACOUSTICS 14 (1): 57-81 MAR 2006

• Kim MY: Discontinuous Galerkin methods for the Lotka-McKendrick equation with finite life-span,  MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 16 (2): 161-176 FEB 2006

• Toulopoulos I, Ekaterinaris JA: High-order discontinuous Galerkin discretizations for computational aeroacoustics in complex domains,  AIAA JOURNAL 44 (3): 502-511 MAR 2006

• Gillow K, Gavaghan DJ, Suli E: Computation of currents at microelectrodes using hp-DGFEM,  JOURNAL OF ELECTROANALYTICAL CHEMISTRY 587 (1): 1-17 FEB 1 2006

• Mao SL, Luongo CA, Kopriva DA:  Discontinuous Galerkin spectral element simulation of a thermal-hydraulic problem in superconducting magnets,  NUMERICAL HEAT TRANSFER PART A-APPLICATIONS 49 (2): 109-127 JAN 15 2006

• Hoteit H, Firoozabadi A: Multicomponent fluid flow by discontinuous Galerkin and mixed methods in unfractured and fractured media,  WATER RESOURCES RESEARCH 41 (11): Art. No. W11412 NOV 10 2005

• Lu H, Berzins M, Goodyer CE, et al.: High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems, COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING 21 (11): 643-650 NOV 2005

• Xu Y, Shu CW:  Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations,  PHYSICA D-NONLINEAR PHENOMENA 208 (1-2): 21-58 AUG 15 2005

• Loverich J, Shumlak U:  A discontinuous Galerkin method for the full two-fluid plasma model, COMPUTER PHYSICS COMMUNICATIONS 169 (1-3): 251-255 JUL 1 2005

• Sun SY, Wheeler MF: Symmetric and nonsymmetric discontinuous galerkin methods for reactive transport in porous media , SIAM JOURNAL ON NUMERICAL ANALYSIS 43 (1): 195-219 2005

• Chen SQ, E WN, Shu CW:  The heterogeneous multiscale method based on the discontinuous Galerkin method for hyperbolic and parabolic problems , MULTISCALE MODELING & SIMULATION 3 (4): 871-894 2005

• Xu Y, Shu CW:  Local discontinuous Galerkin methods for nonlinear Schrodinger equations, JOURNAL OF COMPUTATIONAL PHYSICS 205 (1): 72-97 MAY 1 2005

• Chen MH, Cockburn B, Reitich F: High-order RKDG methods for computational electromagnetics, JOURNAL OF SCIENTIFIC COMPUTING 22-3 (1): 205-226 JAN 2005

• Li FY, Shu CW:  Locally divergence-free discontinuous Galerkin methods for MHD equations, JOURNAL OF SCIENTIFIC COMPUTING 22-3 (1): 413-442 JAN 2005

• Cockburn B, Kanschat G, Schotzau D: The local discontinuous Galerkin method for linearized incompressible fluid flow: a review,  COMPUTERS & FLUIDS 34 (4-5): 491-506 MAY-JUN 2005

• Lu T, Cai W, Zhang PW:  Discontinuous Galerkin time-domain method for GPR simulation in dispersive media, IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING 43 (1): 72-80 JAN 2005

• Xu K: Discontinuous Galerkin BGK method for viscous flow equations: One-dimensional systems,  SIAM JOURNAL ON SCIENTIFIC COMPUTING 25 (6): 1941-1963 2004

• Kabakian AV, Shankar V, Hall WF: Unstructured grid-based discontinuous Galerkin method for broadband electromagnetic simulations,  JOURNAL OF SCIENTIFIC COMPUTING 20 (3): 405-431 JUN 2004

• Cockburn B, Li FY, Shu CW: Locally divergence-free discontinuous Galerkin methods for the Maxwell equations,  JOURNAL OF COMPUTATIONAL PHYSICS 194 (2): 588-610 MAR 1 2004

• Harari I, Farhat C, Hetmaniuk U: Multiple-stencil dispersion analysis of the Lagrange multipliers in a discontinuous Galerkin method for the Helmholtz equation,  JOURNAL OF COMPUTATIONAL ACOUSTICS 11 (2): 239-254 JUN 2003

• Hesthaven JS: High-order accurate methods in time-domain computational electromagnetics: A review,  ADVANCES IN IMAGING AND ELECTRON PHYSICS 127: 59-123 2003

• Farhat C, Harari I, Hetmaniuk U: A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 192 (11-12): 1389-1419 2003

• Hesthaven JS, Warburton T: Nodal high-order methods on unstructured grids - I. Time-domain solution of Maxwell's equations, JOURNAL OF COMPUTATIONAL PHYSICS 181 (1): 186-221 SEP 1 2002

• Yan J, Shu CW: A local discontinuous Galerkin method for KdV type equations,  SIAM JOURNAL ON NUMERICAL ANALYSIS 40 (2): 769-791 JUL 24 2002

• Aizinger V, Dawson C, Cockburn B, et al.:  The local discontinuous Galerkin method for contaminant transport,  ADVANCES IN WATER RESOURCES 24 (1): 73-87 OCT 2000

• Liu JG, Shu CW:  A high-order discontinuous Galerkin method for 2D incompressible flows,  JOURNAL OF COMPUTATIONAL PHYSICS 160 (2): 577-596 MAY 20 2000