MultiSymplectic discretisation of wave map equations
2016 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 38, no 2, A953-A972 p.Article in journal (Refereed) Published
We present a new multisymplectic formulation of constrained Hamiltonian partial differential equations, and we study the associated local conservation laws. A multisymplectic discretization based on this new formulation is exemplified by means of the Euler box scheme. When applied to the wave map equation, this numerical scheme is explicit, preserves the constraint, and can be seen as a generalization of the \smaller SHAKE algorithm for constrained mechanical systems. Furthermore, numerical experiments show excellent conservation properties of the numerical solutions.
Place, publisher, year, edition, pages
2016. Vol. 38, no 2, A953-A972 p.
constrained Hamiltonian partial differential equations, wave map equations, multisymplectic partial differential equation, numerical discretization, multisymplectic schemes, Euler box scheme
IdentifiersURN: urn:nbn:se:umu:diva-99205DOI: 10.1137/15M1014322ISI: 000375484800015OAI: oai:DiVA.org:umu-99205DiVA: diva2:786092