Interior a priori error estimates in Sobolev norms are derived from interior Ritz-Galerkin equations which are common to a class of methods used in approximating ...

Abstract We define and analyze hybridizable discontinuous Galerkin methods for the Laplace-Beltrami problem on implicitly defined surfaces. We show that the methods can retain the same convergence and ...

Boundary Element Methods (BEM) have emerged as a robust numerical technique for addressing wave propagation problems across diverse fields such as acoustics, elastodynamics, and electromagnetics.

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.