Minimization of Interpolation Error Estimates for Vector Functions.

Abstract: For interpolation error estimates, the adaptation problem for a vector function is different from that for a scalar solution. Since solution components have different error estimates, the problem appears how to generate a grid, which is optimal for each scalar solution function. In our work, we address the issue of the efficient adaptation strategy in case that the grid is adapted to a vector solution.Note: Research direction:Mathematical problems and theory of numerical method