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 ...
Discontinuous Galerkin (DG) methods have emerged as a formidable tool in computational fluid dynamics (CFD), offering a flexible and high-order accurate framework for solving complex flow problems. By ...
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 ...
SIAM Journal on Numerical Analysis, Vol. 38, No. 3 (2001), pp. 770-798 (29 pages) The lowest order Raviart-Thomas rectangular element is considered for solving the singular perturbation problem -div(a ...
Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...
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