Results 151 to 160 of about 21,624 (188)

A Space-Time Discontinuous Galerkin Method for Convection and Diffusion in Injection Moulding

International Journal of Forming Processes, 2004
In this article, we investigate a space-time finite element method for solving the convection-diffusion-reaction equation. This method is based on a discontinuous Galerkin technique using low order elements in space and high order elements in time. The suggested method is applied to solve the transport equation and the heat equation in 3D mold filling.
Batkam, Serge, Bruchon, Julien, Coupez, Thierry   +2 more
openaire   +2 more sources

Discretization of the Wave Equation Using Continuous Elements in Time and a Hybridizable Discontinuous Galerkin Method in Space

Journal of Scientific Computing, 2013
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Griesmaier, Roland, Monk, Peter
openaire   +1 more source

A methodology to control numerical dissipation characteristics of velocity based time discontinuous Galerkin space‐time finite element method

International Journal for Numerical Methods in Engineering, 2022
Direct time integration schemes are an integral part of the FEM simulation of structural dynamics problems. Such schemes should be at least second‐order accurate, unconditionally stable, and numerically dissipates the high‐frequency components.
Vikas Sharma, K. Fujisawa, A. Murakami, Shuto Sasakawa   +3 more
semanticscholar   +1 more source

Discontinuous Space-Time Galerkin Finite Element Method in Linear Dynamic Fully Coupled Thermoelastic Problems with Strain and Heat Flux Discontinuities

2008
A discontinuous space-time Galerkin finite element method has been developed by the authors for the study of linear elasto-dynamic and fully coupled thermoelastic problems with discontinuities in the displacement and temperature gradients. The method is proven to be unconditionally stable and capable of automatic adaptive mesh refinement. The developed
Dinara K. Khalmanova, Francesco Costanzo
openaire   +1 more source

Symplectic Hamiltonian Hybridizable Discontinuous Galerkin Methods for Linearized Shallow Water Equations

Computer Methods in Applied Mechanics and Engineering
This paper focuses on the numerical approximation of the linearized shallow water equations using hybridizable discontinuous Galerkin (HDG) methods, leveraging the Hamiltonian structure of the evolution system. First, we propose an equivalent formulation
Cristhian Núñez, Manuel A. Sánchez
semanticscholar   +1 more source

Development of discontinuous Galerkin methods for hyperbolic systems that preserve a curl or a divergence constraint

Journal of Computational Physics
Some hyperbolic systems are known to include implicit preservation of differential constraints: these are for example the time conservation of the curl or the divergence of a vector that appear as an implicit constraint.
V. Perrier
semanticscholar   +1 more source

Hybridizable discontinuous Galerkin methods for space-time fractional advection-dispersion equations

Applied Mathematics and Computation, 2023
Jing-jun Zhao, Wen-Qiang Zhao, Yang Xu
semanticscholar   +1 more source

Entropy Stable Space–Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws

Journal of Scientific Computing, 2018
This work examines the development of an entropy conservative (for smooth solutions) or entropy stable (for discontinuous solutions) space–time discontinuous Galerkin (DG) method for systems of nonlinear hyperbolic conservation laws.
Lucas Friedrich, Gero Schnücke, A. R. Winters, D. C. D. R. Fernández, G. Gassner, M. Carpenter   +5 more
semanticscholar   +1 more source

Discontinuous Galerkin Methods for Compressible and Incompressible Flows on Space–Time Adaptive Meshes: Toward a Novel Family of Efficient Numerical Methods for Fluid Dynamics

Archives of Computational Methods in Engineering, 2019
F. Fambri
semanticscholar   +1 more source

Tensor-product preconditioners for higher-order space-time discontinuous Galerkin methods

Journal of Computational Physics, 2017
L. Diosady, S. Murman
semanticscholar   +1 more source