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 ...

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 ...

SIAM Journal on Numerical Analysis, Vol. 33, No. 5 (Oct., 1996), pp. 1778-1796 (19 pages) Finite-element Galerkin methods using B-splines of order r for periodic first-order hyperbolic equations ...

Discontinuous Galerkin methods represent a powerful and flexible class of finite element techniques that have gained prominence in the simulation of wave propagation phenomena governed by the ...

We'll look at why it's useful to split the body being analysed into small elements and the different elements types that can be used. We'll also cover the key concept behind the finite element method, ...

Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...