Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method

Khemraj Shukla; José M. Carcione; Jan S. Hesthaven; Elizabeth L'heureux

doi:10.1121/10.0001170

Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method

The Journal of the Acoustical Society of America ◽

10.1121/10.0001170 ◽

2020 ◽

Vol 147 (5) ◽

pp. 3136-3150

Author(s):

Khemraj Shukla ◽

José M. Carcione ◽

Jan S. Hesthaven ◽

Elizabeth L'heureux

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Solid Interface

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A discontinuous Galerkin method with Lagrange multiplier for hyperbolic conservation laws with boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.05.003 ◽

2015 ◽

Vol 70 (4) ◽

pp. 488-506 ◽

Cited By ~ 4

Author(s):

Mi-Young Kim

Keyword(s):

Boundary Conditions ◽

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multiplier ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions

Applications of Mathematics ◽

10.1007/s10492-010-0012-x ◽

2010 ◽

Vol 55 (5) ◽

pp. 353-372 ◽

Cited By ~ 6

Author(s):

Oto Havle ◽

Vít Dolejší ◽

Miloslav Feistauer

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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A Discrete Analysis of Non-reflecting Boundary Conditions for Discontinuous Galerkin Method

9th AIAA/CEAS Aeroacoustics Conference and Exhibit ◽

10.2514/6.2003-3301 ◽

2003 ◽

Cited By ~ 4

Author(s):

Fang Hu ◽

Harold Atkins

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Discrete Analysis

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Two-dimensional Wave Analysis of the Discontinuous Galerkin Method with Non-Uniform Grids and Boundary Conditions

8th AIAA/CEAS Aeroacoustics Conference & Exhibit ◽

10.2514/6.2002-2514 ◽

2002 ◽

Cited By ~ 10

Author(s):

Fang Hu ◽

Harold Atkins

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Wave Analysis ◽

Uniform Grids ◽

Dimensional Wave

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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 ◽

Cited By ~ 1

Author(s):

T. Hagstrom ◽

T. Warburton

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

High Order ◽

Radiation Boundary Conditions ◽

Time Domain Electromagnetics ◽

Radiation Boundary

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Artificial boundary conditions for the numerical solution of the Euler equations by the discontinuous galerkin method

Journal of Computational Physics ◽

10.1016/j.jcp.2011.04.008 ◽

2011 ◽

Vol 230 (15) ◽

pp. 5974-5995 ◽

Cited By ~ 3

Author(s):

Ioannis Toulopoulos ◽

John A. Ekaterinaris

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Numerical Solution ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Artificial Boundary ◽

Artificial Boundary Conditions

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Implementation of Characteristic Boundary Conditions, to the Discontinuous Galerkin Method

44th AIAA Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2006-108 ◽

2006 ◽

Author(s):

Ioannis Toulopoulos ◽

John Ekaterinaris

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Characteristic Boundary

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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 ◽

Cited By ~ 6

Author(s):

A. Modave ◽

A. Atle ◽

J. Chan ◽

T. Warburton

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary ◽

Nodal Discontinuous Galerkin Method

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A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions

SIAM Journal on Scientific Computing ◽

10.1137/s1064827502419415 ◽

2004 ◽

Vol 26 (1) ◽

pp. 152-177 ◽

Cited By ~ 33

Author(s):

Rommel Bustinza ◽

Gabriel N. Gatica

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlinear Diffusion ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Diffusion Problems

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Time domain discontinuous Galerkin method with efficient modelling of boundary conditions for simulations of electromagnetic wave propagation

10.1109/apemc.2008.4559945 ◽

2008 ◽

Cited By ~ 2

Author(s):

N. Godel ◽

S. Lange ◽

M. Clemens

Keyword(s):

Wave Propagation ◽

Electromagnetic Wave ◽

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Electromagnetic Wave Propagation

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