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Finite element methods for Hamiltonian PDEs

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GCS - Geometry, compatibility and structure preservation in computational differential equations

Hamiltonian ODEs satisfy a symplectic conservation law, and there are many advantages to using numerical integrators that preserves this structure. This talk will discuss how the canonical Hamiltonian structure, and its preservation by a numerical method, can be generalized to PDEs. I will also provide a basic introduction to the finite element method and, time permitting, discuss how some classic symplectic integrators can be understood from this point of view.




This talk is part of the Isaac Newton Institute Seminar Series series.

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