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 ...
Meshless methods and finite element analysis (FEA) remain at the forefront of computational engineering, offering robust frameworks for simulating complex physical phenomena in diverse fields ...
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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