3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers

P Schädle, P Zulian, D Vogler, SR Bhopalam… - Computers & …, 2019 - Elsevier
This work presents a modeling approach for single-phase flow in 3D fractured porous media
with non-conforming meshes. To this end, a Lagrange multiplier method is combined with a …

[HTML][HTML] Comparison and application of non-conforming mesh models for flow in fractured porous media using dual Lagrange multipliers

P Zulian, P Schädle, L Karagyaur… - Journal of Computational …, 2022 - Elsevier
Geological settings, such as reservoirs, include fractures with different material properties
and geometric features. Hence, numerical simulations in applied geophysics demands for …

A multigrid method for a nitsche-based extended finite element method

H Kothari, R Krause - arXiv preprint arXiv:1912.00496, 2019 - arxiv.org
We present a tailored multigrid method for linear problems stemming from a Nitsche-based
extended finite element method (XFEM). Our multigrid method is robust with respect to …

Frontiers in Mortar methods for isogeometric analysis

C Hesch, U Khristenko, R Krause, A Popp… - … Methods in Solid …, 2022 - Springer
Complex geometries as common in industrial applications consist of multiple patches, if
spline based parametrizations are used. The requirements for the generation of analysis …

Multilevel solution strategies for unfitted finite element methods

H Kothari - 2020 - folia.unifr.ch
In the unfitted finite element methods, traditionally we can use Nitsche's method or the
method of Lagrange multipliers to enforce the boundary/interface conditions. In this work, we …