Results 151 to 160 of about 21,729 (184)
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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   +3 more
semanticscholar   +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

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

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

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   +5 more
semanticscholar   +1 more source

Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell’s Equations in Multi-dimensions

Journal of Scientific Computing, 2021
Maohui Lyu   +3 more
semanticscholar   +1 more source

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing, 2001
Bernardo Cockburn, Chi-Wang Shu
semanticscholar   +1 more source

Refinement of flexible space–time finite element meshes and discontinuous Galerkin methods

Computing and Visualization in Science, 2011
M. Neumüller, O. Steinbach
semanticscholar   +1 more source

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