Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions

This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages both body-fitted mesh methods and unfitted methods. A background is generated initially. On those elements, spaces are constructed as solution to local problems, exact sequences can be established these new involving discontinuous coefficients. The coefficients recast Hodge star operators key project functions classic finite (IFE) computing numerical solutions. An priori convergence analysis robust with respect location. proposed capable handling more complicated configuration provides better performance than conventional penalty-type IFE H(curl)-interface problem arising from Maxwell equations. It also brings connection between various such methods, etc.