TriWild: robust triangulation with curve constraints

Y Hu, T Schneider, X Gao, Q Zhou… - ACM Transactions on …, 2019 - dl.acm.org
We propose a robust 2D meshing algorithm, TriWild, to generate curved triangles
reproducing smooth feature curves, leading to coarse meshes designed to match the …

First order least-squares formulations for eigenvalue problems

F Bertrand, D Boffi - IMA Journal of Numerical Analysis, 2022 - academic.oup.com
In this paper we discuss spectral properties of operators associated with the least-squares
finite-element approximation of elliptic partial differential equations. The convergence of the …

First-order system least squares on curved boundaries: Higher-order Raviart--Thomas elements

F Bertrand, S Munzenmaier, G Starke - SIAM Journal on Numerical Analysis, 2014 - SIAM
With this paper, our investigation of the finite element approximation on curved boundaries
using Raviart--Thomas spaces in the context of first-order system least squares methods is …

Parametric Raviart--Thomas elements for mixed methods on domains with curved surfaces

F Bertrand, G Starke - SIAM Journal on Numerical Analysis, 2016 - SIAM
The finite element approximation on curved boundaries using parametric Raviart--Thomas
spaces is studied in the context of the mixed formulation of Poisson's equation as a saddle …

A weak Galerkin mixed finite element method for second order elliptic equations on 2D curved domains

Y Liu, W Chen, Y Wang - arXiv preprint arXiv:2204.01067, 2022 - arxiv.org
This article concerns the weak Galerkin mixed finite element method (WG-MFEM) for second
order elliptic equations on 2D domains with curved boundary. The Neumann boundary …

[HTML][HTML] Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements

F Bertrand - Computational Methods in Applied Mathematics, 2023 - degruyter.com
Abstract Recently, H⁢(div)-conforming finite element families were proven to be successful
on anisotropic meshes, with the help of suitable interpolation error estimates. In order to …

An adaptive least‐squares mixed finite element method for the Signorini problem

R Krause, B Müller, G Starke - Numerical Methods for Partial …, 2017 - Wiley Online Library
We present and analyze a least squares formulation for contact problems in linear elasticity
which employs both, displacements and stresses, as independent variables. As a …

Least-squares mixed finite element formulations for isotropic and anisotropic elasticity at small and large strains

J Schröder, A Schwarz, K Steeger - Advanced Finite Element …, 2016 - Springer
The performance of least-squares finite element formulations for geometrically linear and
nonlinear problems is investigated in this work. We consider different elastic material …

[PDF][PDF] Mixed least squares finite element methods based on inverse stress-strain relations in hyperelasticity

B Müller - 2015 - core.ac.uk
Die vorliegende Arbeit entstand während meiner Tätigkeiten als wissenschaftlicher
Mitarbeiter am Institut für Angewandte Mathematik der Leibniz Universität Hannover im …

[PDF][PDF] Least-squares mixed finite elements for geometrically nonlinear solid mechanics

K Steeger - 2017 - core.ac.uk
Ein besonderer Dank gilt meinen studentischen Hilfskräften Robert Depenbrock, Maximilian
Igelbüscher, Sascha Maassen, Dominik Ohlmann, Yasemin Ozmen und Nils Viebahn für die …