Mathematics of Computation, Vol. 79, No. 272 (OCTOBER 2010), pp. 2001-2032 (32 pages) We derive in this paper a unified framework for a priori and a posteriori error ...

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 ...

Finite element methods (FEM) constitute a foundational numerical approach for solving partial differential equations by discretising complex domains into smaller, manageable subdomains known as ...

Nonlinear finite element methods as applied to large deformation and nonlinear material behavior are the focus of this course. Various classical and contemporary constitutive models and their ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 2 (2016), pp. 1193-1228 (36 pages) In this paper we propose and study a finite element method for a curlcurl-graddiv eigenvalue interface problem. Its ...

One of the common classes of equations that is encountered in several branches of science is partial differential equations. So in this article, I look at a software package called FreeFem++ that is ...

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

We consider option pricing problems in the stochastic volatility jump diffusion model with correlated and contemporaneous jumps (SVCJ) in both the return and variance processes. The option value ...