An efficient and reliable a-posteriori error estimator is developed for a characteristic-Galerkin FEM for time-dependent convection-dominated problems.
In this talk,we present an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose-Einstein condensates which is described by coupled Gross-Pitaevskii equatio
Up to now,the mathematicians think that the symplectic finite difference schemes for solving nonlinear partial differential equations could not preserve the total energy in the discrete sense.
Dielectric elastomer actuators(DEAs)can give rise to surprisingly large deformations by applying an electric field,thus have been receiving much attention in the past two decades.