Tag: Hamiltonian PDEs

2 entries

Conformal Symplectic Structure of Brinkman Penalisation for Structure-Preserving Operator Learning of Hamiltonian PDEs

ScientificML
Reveals compatibility conditions under which multi-symplectic Hamiltonian PDEs regularized by Brinkman-type penalization retain a multi-conformal symplectic structure, yielding exact local conservation laws for structure-preserving operator learning on complex geometries.
New See LICENSE file Hamiltonian PDEsBrinkman penalizationStructure-preserving learning

Elucidating the Conformal Structure of the Brinkman Penalisation Method for Geometry-Adapted, Structure-Preserving Operator Learning of Hamiltonian PDEs

ScientificML
This paper reveals the multi-conformal symplectic structure preserved by Hamiltonian PDEs regularized via Brinkman penalization, proving an exact local conservation law under a compatibility condition linking the symplectic matrix and penalization projection.
New See LICENSE file Hamiltonian PDEsOperator LearningStructure-Preserving

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