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 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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A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0074 ◽

2018 ◽

Vol 24 (1) ◽

Author(s):

Ruihan Guo ◽

Yan Xu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Phase Field ◽

Local Discontinuous Galerkin Method ◽

Time Stepping ◽

Local Discontinuous Galerkin ◽

Adaptive Time ◽

Adaptive Time Stepping

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A high-order discontinuous Galerkin method for fluid–structure interaction with efficient implicit–explicit time stepping

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.034 ◽

2014 ◽

Vol 272 ◽

pp. 455-470 ◽

Author(s):

Bradley Froehle ◽

Per-Olof Persson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fluid Structure Interaction ◽

Fluid Structure ◽

Structure Interaction ◽

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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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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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An arbitrary high-order discontinuous Galerkin method with local time-stepping for linear acoustic wave propagation

The Journal of the Acoustical Society of America ◽

10.1121/10.0003340 ◽

2021 ◽

Vol 149 (1) ◽

pp. 569-580

Author(s):

Huiqing Wang ◽

Matthias Cosnefroy ◽

Maarten Hornikx

Keyword(s):

Wave Propagation ◽

Acoustic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Acoustic Wave Propagation ◽

Time Stepping ◽

Local Time Stepping

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A stable discontinuous Galerkin method based on high‐order dual splitting scheme without additional stabilization term for incompressible flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4992 ◽

2021 ◽

Author(s):

Mengxia Ma ◽

Jie Ouyang ◽

Xiaodong Wang ◽

Chenhui Zhang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Incompressible Flows ◽

Splitting Scheme ◽

Additional Stabilization

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An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping andp-adaptivity

Geophysical Journal International ◽

10.1111/j.1365-246x.2007.03427.x ◽

2007 ◽

Vol 171 (2) ◽

pp. 695-717 ◽

Author(s):

Michael Dumbser ◽

Martin Käser ◽

Eleuterio F. Toro

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elastic Waves ◽

Unstructured Meshes ◽

Time Stepping ◽

Local 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 discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.700 ◽

2009 ◽

Vol 22 (1) ◽

pp. 77-103 ◽

Author(s):

Arne Taube ◽

Michael Dumbser ◽

Claus-Dieter Munz ◽

Rudolf Schneider

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell Equations ◽

Time Stepping ◽

Local Time Stepping

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