Finite element methods (FEM) have emerged as a versatile and robust framework for the numerical simulation of evolving partial differential equations (PDEs). These methods discretise complex ...

This is a preview. Log in through your library . Abstract A finite element method is derived for solving equations of the following type $-(p(x)u'(x, \omega))' + (q(x) + r(x)\lambda(\omega))^2u(x, ...

This is a preview. Log in through your library . Abstract We discuss a moving finite element method for solving vector systems of time dependent partial differential equations in one space dimension.

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