Structure-preserving discretization of a coupled heat-wave system, as interconnected port-Hamiltonian systems

DOI10.1007/978-3-030-80209-7_22zbMath1491.76044OpenAlexW3182078396MaRDI QIDQ2117849

Ghislain Haine, Denis Matignon

Publication date: 22 March 2022

Full work available at URL: https://oatao.univ-toulouse.fr/28299/1/Haine_28299.pdf

zbMATH Keywords

port-Hamiltonian systemspartitioned finite element methodlong time energy asymptotics

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (1)

Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation As a Port-Hamiltonian System

Cites Work

• A port-Hamiltonian formulation of the Navier-Stokes equations for reactive flows
• Interconnection of port-Hamiltonian systems and composition of Dirac structures
• Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• Linear port-Hamiltonian descriptor systems
• Port-Hamiltonian formulation and symplectic discretization of plate models. I: Mindlin model for thick plates
• Port-Hamiltonian formulation and symplectic discretization of plate models. II: Kirchhoff model for thin plates
• A partitioned finite element method for the structure-preserving discretization of damped infinite-dimensional port-Hamiltonian systems with boundary control
• Structure preserving approximation of dissipative evolution problems
• Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations
• Mixed Finite Element Methods and Applications
• Port-Hamiltonian Systems Theory: An Introductory Overview
• Port-Hamiltonian model of two-dimensional shallow water equations in moving containers
• A partitioned finite element method for power-preserving discretization of open systems of conservation laws
• Heat-wave interaction in 2-3 dimensions: optimal rational decay rate

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