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, …

Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures

G Allaire, T Yamada - Numerische Mathematik, 2018 - Springer
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 …

A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model

I Ambartsumyan, E Khattatov, I Yotov, P Zunino - Numerische Mathematik, 2018 - Springer
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 …

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. …

A Levenberg–Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients

S Bellavia, S Gratton, E Riccietti - Numerische Mathematik, 2018 - Springer
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 …

[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. …

[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 …

[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 …

Fast random field generation with H-matrices

M Feischl, FY Kuo, IH Sloan - Numerische Mathematik, 2018 - Springer
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 …

Block Kronecker linearizations of matrix polynomials and their backward errors

FM Dopico, PW Lawrence, J Pérez, PV Dooren - Numerische Mathematik, 2018 - Springer
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 …