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math.NA2026
The transposition method in saddle-point problems
Dietmar Gallistl, Zhen Liu
The transposition method known from the theory of second-order elliptic partial differential equations is formulated for saddle-point problems under certain structural assumptions…
math.NA2026
An error analysis of discrete Kirchhoff elements
Dietmar Gallistl, Ngoc Tien Tran
The Discrete Kirchhoff Triangle (DKT) method for the biharmonic equation is analyzed in the discrete energy norm. The error is bounded by the best approximation of the Hessian by p…
math.NA2026
A posteriori error estimates for a modified Morley FEM
A. K. Dond, D. Gallistl, S. Nayak +1
Residual-based a~posteriori error estimators are derived for the modified Morley FEM, proposed by Wang, Xu, Hu [J. Comput. Math, 24(2), 2006], for the singularly perturbed biharmon…