Piecewise functions and convolution integrals (part I, part II)

We consider the reliable implementation of an adaptive high-order unfitted finite element method on Cartesian meshes for solving elliptic interface problems with geometrically curved singularities. We extend our previous work on the reliable cell ...

This work is the second of a two-part research project focused on modeling solid-shell elements using a stabilized two-field finite element formulation. The first part introduces a stabilization technique based on the Variational Multiscale ...

• A Stabilized finite element method for the mixed displacement–stress approach is presented.
• Solid-shell models are considered in finite strain hyperelasticity using the total Lagrangian approach.
• The fully stabilized and linearized ...

We introduce a method that gives exactly incompressible velocity approximations to Stokes flow in three space dimensions. The method is designed by extending the ideas in Part I [B. Cockburn and J. Gopalakrishnan, SIAM J. Numer. Anal., 43 (2005), pp. ...