Finite element methods (FEM) have become indispensable tools for simulating wave propagation phenomena across a range of applications, from acoustics and electromagnetics to earthquake modelling. At ...

SIAM Journal on Numerical Analysis, Vol. 37, No. 1 (Nov. - Dec., 1999), pp. 246-268 (23 pages) Many physical materials of practical relevance can attain several variants of crystalline microstructure.

In this paper, we discuss the finite volume element method of P₁-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for ...

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