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. 55, No. 1 (2017), pp. 63-86 (24 pages) A new space-time discontinuous Galerkin (dG) method utilizing special Trefftz polynomial basis functions is proposed and ...
Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...