Conforming and nonconforming finite element methods for biharmonic inverse source problem

Abstract This paper deals with the numerical approximation of biharmonic inverse source problem in an abstract setting which measurement data is finite-dimensional. unified framework particular covers conforming and nonconforming finite element methods (FEMs). The analysed through forward problem. Error estimate for solution derived set-up that applies to Morley FEMs. Since ill-posed, Tikhonov regularisation considered obtain a stable approximate solution. established regularised different schemes. Numerical results confirm theoretical are also presented.