The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functions

CS Liu, CL Kuo - Engineering with Computers, 2024 - Springer
Because the complete set of Trefftz functions for the 3D biharmonic equation is not yet well
established, a multiple-direction Trefftz method (MDTM) and an in-plane biharmonic …

A divergence free -RIPG stream function formulation of the incompressible Stokes system with variable viscosity

N Sime, P Houston, CR Wilson… - arxiv preprint arxiv …, 2023 - arxiv.org
Pointwise divergence free velocity field approximations of the Stokes system are gaining
popularity due to their necessity in precise modelling of physical flow phenomena. Several …

hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems

EN Karatzas - arxiv preprint arxiv:2301.12577, 2023 - arxiv.org
In the present work, we examine and analyze an hp-version interior penalty discontinuous
Galerkin finite element method for the numerical approximation of a steady fluid system on …