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Discontinuous Galerkin Method: Analysis and Applications to Compressible Flow

2015, 2015

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Vibrations of Nonlinear Elastic Structure Excited by Compressible Flow

Applied sciences, 2021, Vol.11 (11), p.4748

2021

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On some aspects of the discontinuous Galerkin finite element method for conservation laws

Mathematics and computers in simulation, 2003-01, Vol.61 (3), p.333-346

2003

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Numerical simulation of two-phase flow by the finite element, discontinuous Galerkin methods and the level set method

AIP Conference Proceedings, 2019, Vol.2116 (1)

2019

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Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2003 the 5th European Conference on Numerical Mathematics and Advanced Applications Prague, August 2003

1, 2004

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THEORY OF THE SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR NONSTATIONARY PARABOLIC PROBLEMS WITH NONLINEAR CONVECTION AND DIFFUSION

SIAM journal on numerical analysis, 2012-01, Vol.50 (3), p.1181-1206

2012

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Regularity results and numerical solution by the discontinuous Galerkin method to semilinear parabolic initial boundary value problems with nonlinear Newton boundary conditions in a polygonal space-time cylinder

Journal of numerical mathematics, 2023-03

2023

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Discontinuous Galerkin method for the solution of a transport level-set problem

Computers & mathematics with applications (1987), 2016-08, Vol.72 (3), p.455-480

2016

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On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow

Journal of mathematical fluid mechanics, 2013-12, Vol.15 (4), p.701-715

2013

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On the stability of the ale space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains

Applications of mathematics (Prague), 2015-10, Vol.60 (5), p.501-526

2015

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On the effect of numerical integration in the finite element solution of an elliptic problem with a nonlinear Newton boundary condition

Applications of Mathematics, 2019-04, Vol.64 (2), p.129-167

2019

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Simulation of compressible viscous flow in time-dependent domains

Applied mathematics and computation, 2013-03, Vol.219 (13), p.7139-7150

2013

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Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods

Advances in computational mathematics, 2019-08, Vol.45 (4), p.1993-2018

2019

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Numerical simulation of the interaction between a nonlinear elastic structure and compressible flow by the discontinuous Galerkin method

Applied mathematics and computation, 2015-09, Vol.267, p.382-396

2015

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Numerical analysis of flow-induced nonlinear vibrations of an airfoil with three degrees of freedom

Computers & fluids, 2011-10, Vol.49 (1), p.110-127

2011

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Space-time discontinuous Galerkin method for the solution of fluid-structure interaction

Applications of Mathematics, 2018-12, Vol.63 (6), p.739-764

2018

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DGFEM for dynamical systems describing interaction of compressible fluid and structures

Journal of computational and applied mathematics, 2013-12, Vol.254, p.17-30

2013

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Numerical Simulation of Airfoil Vibrations Induced by Turbulent Flow

Communications in computational physics, 2015-01, Vol.17 (1), p.146-188

2015

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DGFEM for the analysis of airfoil vibrations induced by compressible flow

Zeitschrift für angewandte Mathematik und Mechanik, 2013-06, Vol.93 (6-7), p.387-402

2013

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Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow

Computers & fluids, 2018-09, Vol.174, p.167-178

2018

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ALE Space-Time Discontinuous Galerkin Method for the Interaction of Compressible Flow with Linear and Nonlinear Dynamic Elasticity and Applications to Vocal Fold Vibrations

Numerical Mathematics and Advanced Applications ENUMATH 2019, 2021, Vol.139, p.409-418

2021

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Analysis of space–time discontinuous Galerkin method for nonlinear convection–diffusion problems

Numerische Mathematik, 2011-02, Vol.117 (2), p.251-288

2011

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Stability Analysis of the ALE-STDGM for Linear Convection-Diffusion-Reaction Problems in Time-Dependent Domains

Numerical Mathematics and Advanced Applications ENUMATH 2015, p.215-223

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On the stability of the space–time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection–diffusion problems

Journal of numerical mathematics, 2015-09, Vol.23 (3)

2015

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Discontinuous Galerkin Method for the Solution of Fluid-Structure Interaction Problems with Applications to the Vocal Folds Vibration

Proceedings of the 14th International Conference on Vibration Problems, p.401-419

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Discontinuous Galerkin Method: Analysis and Applications to Compressible Flow

Vibrations of Nonlinear Elastic Structure Excited by Compressible Flow

On some aspects of the discontinuous Galerkin finite element method for conservation laws

Numerical simulation of two-phase flow by the finite element, discontinuous Galerkin methods and the level set method

Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2003 the 5th European Conference on Numerical Mathematics and Advanced Applications Prague, August 2003

THEORY OF THE SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR NONSTATIONARY PARABOLIC PROBLEMS WITH NONLINEAR CONVECTION AND DIFFUSION

Regularity results and numerical solution by the discontinuous Galerkin method to semilinear parabolic initial boundary value problems with nonlinear Newton boundary conditions in a polygonal space-time cylinder

Discontinuous Galerkin method for the solution of a transport level-set problem

On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow

On the stability of the ale space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains

On the effect of numerical integration in the finite element solution of an elliptic problem with a nonlinear Newton boundary condition

Simulation of compressible viscous flow in time-dependent domains

Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods

Numerical simulation of the interaction between a nonlinear elastic structure and compressible flow by the discontinuous Galerkin method

Numerical analysis of flow-induced nonlinear vibrations of an airfoil with three degrees of freedom

Space-time discontinuous Galerkin method for the solution of fluid-structure interaction

DGFEM for dynamical systems describing interaction of compressible fluid and structures

Numerical Simulation of Airfoil Vibrations Induced by Turbulent Flow

DGFEM for the analysis of airfoil vibrations induced by compressible flow

Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow

ALE Space-Time Discontinuous Galerkin Method for the Interaction of Compressible Flow with Linear and Nonlinear Dynamic Elasticity and Applications to Vocal Fold Vibrations

Analysis of space–time discontinuous Galerkin method for nonlinear convection–diffusion problems

Stability Analysis of the ALE-STDGM for Linear Convection-Diffusion-Reaction Problems in Time-Dependent Domains

On the stability of the space–time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection–diffusion problems

Discontinuous Galerkin Method for the Solution of Fluid-Structure Interaction Problems with Applications to the Vocal Folds Vibration

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