This paper proposes an explicit, (at least) second-order, maximum principle satisfying, Lagrange finite element method for solving nonlinear scalar conservation equations. The technique is based on a ...

This result then opens a door for constructing convergent finite element methods for the fully nonlinear second-order equations, a task which has been impracticable before. The goal of this paper is ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

Abaqus V6.6, nonlinear FEA software, includes adaptive remeshing, multilevel substructuring, materialfailure modeling, bolted joints, tire modeling, and more.

Nonlinear regression is a form of regression analysis in which data fit to a model is expressed as a mathematical function.

Now, every engineer has access to best-in-class nonlinear FEA on demand, accelerating innovation while removing traditional technology barriers," said Richard Szöke-Schuller, Product Manager at ...