A consistent relaxation of optimal design problems for coupling shape and topological derivatives
S Amstutz, C Dapogny, À Ferrer - Numerische mathematik, 2018 - Springer
In this article, we introduce and analyze a general procedure for approximating a ‘black and
white’ shape and topology optimization problem with a density optimization problem, …
white’ shape and topology optimization problem with a density optimization problem, …
Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures
We study dispersive effects of wave propagation in periodic media, which can be modelled
by adding a fourth-order term in the homogenized equation. The corresponding fourth-order …
by adding a fourth-order term in the homogenized equation. The corresponding fourth-order …
A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model
We study a finite element computational model for solving the coupled problem arising in
the interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is …
the interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is …
Generalized finite element systems for smooth differential forms and Stokes' problem
SH Christiansen, K Hu - Numerische Mathematik, 2018 - Springer
We provide both a general framework for discretizing de Rham sequences of differential
forms of high regularity, and some examples of finite element spaces that fit in the framework. …
forms of high regularity, and some examples of finite element spaces that fit in the framework. …
A Levenberg–Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients
In this paper we consider large scale nonlinear least-squares problems for which function
and gradient are evaluated with dynamic accuracy and propose a Levenberg–Marquardt …
and gradient are evaluated with dynamic accuracy and propose a Levenberg–Marquardt …
[BOOK][B] Numerische Mathematik
M Hermann - 2011 - degruyter.com
… Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, 3. …
Grundlagen der Numerischen Mathematik I. Wiesbaden: Akademische Verlagsgesellschaft. …
Grundlagen der Numerischen Mathematik I. Wiesbaden: Akademische Verlagsgesellschaft. …
[BOOK][B] Einführung in die numerische Mathematik I: unter Berücksichtigung von Vorlesungen von FL Bauer
J Stoer - 2013 - books.google.com
… Einführungsvorlesung in die Numerische Mathematik wieder, … und Methoden der numerischen
Mathematik waren folgende … den vielen Methoden der numerischen Mathematik sollten …
Mathematik waren folgende … den vielen Methoden der numerischen Mathematik sollten …
[BOOK][B] Numerische Mathematik
J Stoer, R Bulirsch - 1989 - Springer
… der numerischen Mathematik waren folgende Ziele für die Auswahl des Stoffes und seine
Darstellung maßgeblich: Von den vielen Methoden der numerischen Mathematik sollten …
Darstellung maßgeblich: Von den vielen Methoden der numerischen Mathematik sollten …
Fast random field generation with H-matrices
We use the H-matrix technology to compute the approximate square root of a covariance
matrix in linear cost. This allows us to generate normal and log-normal random fields on …
matrix in linear cost. This allows us to generate normal and log-normal random fields on …
Block Kronecker linearizations of matrix polynomials and their backward errors
We introduce a new family of strong linearizations of matrix polynomials—which we call “block
Kronecker pencils”—and perform a backward stability analysis of complete polynomial …
Kronecker pencils”—and perform a backward stability analysis of complete polynomial …
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