Finite element methods (FEM) have emerged as a pivotal class of numerical techniques for solving the Navier–Stokes equations, the mathematical foundation for modelling fluid flow. These methods ...

SIAM Journal on Numerical Analysis, Vol. 35, No. 2 (Apr., 1998), pp. 560-571 (12 pages) A new mixed finite element method is formulated for the Stokes equations, in which the two components of the ...

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 ...

SIAM Journal on Numerical Analysis, Vol. 44, No. 6 (2006), pp. 2408-2431 (24 pages) The symmetric interior penalty discontinuous Galerkin finite element method is presented for the numerical ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...