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. 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 ...
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; ...
What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...
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