Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...

SIAM Journal on Numerical Analysis, Vol. 42, No. 5 (2005), pp. 2188-2217 (30 pages) Although existing adaptive finite element methods for solving second order elliptic equations often perform better ...

This is a preview. Log in through your library . Abstract An adaptive finite element method is analyzed for approximating functionals of the solution of symmetric elliptic second order boundary value ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...