An application of the penalty method to the finite element method is analyzed. For a model Poisson equation with homogeneous Dirichlet boundary conditions, a variational principle with penalty is ...
SIAM Journal on Numerical Analysis, Vol. 50, No. 6 (2012), pp. 3351-3374 (24 pages) In this paper quasi-Monte Carlo (QMC) methods are applied to a class of elliptic partial differential equations ...
Meshless methods and finite element analysis (FEA) remain at the forefront of computational engineering, offering robust frameworks for simulating complex physical phenomena in diverse fields ...