Symplectic Hamiltonian Finite Element Methods for Semilinear Wave Propagation

DOI10.1007/S10915-024-02519-ZMaRDI QIDQ6495870

Publication date: 2 May 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Cites Work

Unnamed Item
Unnamed Item
Energy conserving local discontinuous Galerkin methods for wave propagation problems
Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids
Symplectic-mixed finite element approximation of linear acoustic wave equations
Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation
NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
Stormer-Numerov HDG methods for acoustic waves
Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs
Symplectic Hamiltonian HDG methods for wave propagation phenomena
Convergence analysis of hybrid high-order methods for the wave equation
Discontinuous Galerkin methods with time-operators in their numerical traces for time-dependent electromagnetics
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: energy conservation and multi-symplecticity
Symplectic Hamiltonian finite element methods for electromagnetics
Symplectic Hamiltonian finite element methods for linear elastodynamics
Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit
The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
Symplectic Partitioned Runge-Kutta Methods for the Numerical Integration of Periodic and Oscillatory Problems
Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
On the application of mixed finite element methods to the wave equations
Relativistic Quantum Mechanics and Related Topics
Mixed Methods for Elastodynamics with Weak Symmetry
Discontinuous Galerkin Finite Element Method for the Wave Equation

This page was built for publication: Symplectic Hamiltonian Finite Element Methods for Semilinear Wave Propagation