local discontinuity
Dear Firedrakers, I would like to solve equations in a domain made of two subdomains: - a disk, inside which test functions are continuous (Omega_d) - a plane around the disk, in which test functions are continuous (Omega_p) However, I would like the test functions to be discontinuous across the interface Gamma between the disk and the surrounding plane. This is to solve Laplace equation in each domain, augmented by a dynamic boundary condition on the jump between the two domains, that is Delta u = 0 in Omega_d Delta u = 0 in Omega_p partial_t [u] = ... on Gamma, where [u]= u(+)-u(-) is the jump Is there a way to define a functionspace on the full mesh, with continuous basis functions in each subdomain but discontinuous across the interface ? Or is there any better way to solve this kind of system ? Thank you for your help, Floriane
participants (1)
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                Floriane Gidel [RPG]