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 …
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 …
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 …
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 …
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 …
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 …
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 …
Die vorliegende Arbeit entstand während meiner Tätigkeiten als wissenschaftlicher Mitarbeiter am Institut für Angewandte Mathematik der Leibniz Universität Hannover im …
Ein besonderer Dank gilt meinen studentischen Hilfskräften Robert Depenbrock, Maximilian Igelbüscher, Sascha Maassen, Dominik Ohlmann, Yasemin Ozmen und Nils Viebahn für die …