Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...

SIAM Journal on Numerical Analysis, Vol. 39, No. 6 (2002), pp. 1865-1888 (24 pages) We present a general error estimation framework for a finite volume element (FVE ...

The Helmholtz equation is a fundamental partial differential equation that underpins the analysis of wave propagation, acoustic scattering and electromagnetic phenomena. Its numerical solution is ...