A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5576 ◽

2017 ◽

Vol 112 (11) ◽

pp. 1659-1686 ◽

Author(s):

A. Modave ◽

A. Atle ◽

J. Chan ◽

T. Warburton

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Nodal Discontinuous Galerkin Method

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Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions

2013 IEEE Antennas and Propagation Society International Symposium (APSURSI) ◽

10.1109/aps.2013.6710676 ◽

2013 ◽

Author(s):

Kostyantyn Sirenko ◽

Hakan Bagci ◽

Yuriy Sirenko

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Diffraction Gratings ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary

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A high-order nodal discontinuous Galerkin method for simulation of three-dimensional non-cavitating/cavitating flows

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2021.103681 ◽

2022 ◽

Vol 200 ◽

pp. 103681

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

Cavitating Flows ◽

Nodal Discontinuous Galerkin Method

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High-order radiation boundary conditions for time-domain electromagnetics using an unstructured discontinuous Galerkin method

Computational Fluid and Solid Mechanics 2003 ◽

10.1016/b978-008044046-0.50333-x ◽

2003 ◽

pp. 1358-1363 ◽

Author(s):

T. Hagstrom ◽

T. Warburton

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Radiation Boundary Conditions ◽

Time Domain Electromagnetics ◽

Radiation Boundary

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A High Order Accurate Nodal Discontinuous Galerkin Method (DGM) for Numerical Solution of Hyperbolic Equation

International Journal of Applied Physics and Mathematics ◽

10.7763/ijapm.2012.v2.135 ◽

2012 ◽

pp. 362-364 ◽

Author(s):

Fareed Ahmed ◽

Faheem Ahmed ◽

YongHang Guo ◽

Yong Yang

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method

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An implicit dual-time stepping high-order nodal discontinuous Galerkin method for solving incompressible flows on triangle elements

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.08.011 ◽

2020 ◽

Vol 168 ◽

pp. 173-214 ◽

Author(s):

M. Hajihassanpour ◽

K. Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Incompressible Flows ◽

Time Stepping ◽

Nodal Discontinuous Galerkin Method ◽

Dual Time Stepping

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A high‐order nodal discontinuous Galerkin method to solve preconditioned multiphase Euler/Navier‐Stokes equations for inviscid/viscous cavitating flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4792 ◽

2020 ◽

Vol 92 (5) ◽

pp. 478-508

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Cavitating Flows ◽

Navier Stokes Equations ◽

Nodal Discontinuous Galerkin Method

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A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.06.018 ◽

2018 ◽

Vol 54 ◽

pp. 428-452 ◽

Author(s):

Tarek Aboelenen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method

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A High-Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling

International Journal of Computer Applications ◽

10.5120/5616-7895 ◽

2012 ◽

Vol 41 (15) ◽

pp. 19-27 ◽

Author(s):

Nouh Izem ◽

Mohammed Seaid ◽

Mohamed Wakrim

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method ◽

Morphodynamic Modelling

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A high-order nodal discontinuous Galerkin method for solution of compressible non-cavitating and cavitating flows

Computers & Fluids ◽

10.1016/j.compfluid.2017.07.002 ◽

2017 ◽

Vol 156 ◽

pp. 175-199 ◽

Author(s):

K. Hejranfar ◽

M. Hajihassanpour

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Cavitating Flows ◽

Nodal Discontinuous Galerkin Method

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A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn–Hilliard equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.07.018 ◽

2017 ◽

Vol 73 (6) ◽

pp. 1197-1217 ◽

Author(s):

Tarek Aboelenen ◽

H.M. El-Hawary

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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