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 ...
SIAM Journal on Numerical Analysis, Vol. 53, No. 1 (2015), pp. 43-62 (20 pages) The first-order div least squares finite element methods (LSFEMs) allow for an ...
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 ...