Analysis of a few sample problems helps illustrate the basics of the nonlinear approach. • Most problems are nonlinear from the get-go. • Simplified load-deflection cases can help explain nonlinear ...

This paper studies mixed finite element approximations of the viscosity solution to the Dirichlet problem for the fully nonlinear Monge–Ampère equation det (D²u⁰) = f (> 0) based on the vanishing ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods including their convergence, stability, and error ...