Modelling the evolution of phase boundaries in solids at the meso-and nano-scales

K Thornton, J Ågren, PW Voorhees - Acta materialia, 2003 - Elsevier
Phase boundaries play an important role in setting the properties of multicomponent
materials at both the meso-and nano-scales. In this review, we provide an overview of the …

Materials with prescribed constitutive parameters: an inverse homogenization problem

O Sigmund - International Journal of Solids and Structures, 1994 - Elsevier
This paper deals with the construction of materials with arbitrary prescribed positive semi-
definite constitutive tensors. The construction problem can be called an inverse problem of …

A new version of the fast multipole method for the Laplace equation in three dimensions

L Greengard, V Rokhlin - Acta numerica, 1997 - cambridge.org
A new version of the Fast Multipole Method for the Laplace equation in three dimensions Page
1 ActaNumerica (1997), pp. 229-269 © Cambridge University Press, 1997 A new version of the …

Tailoring materials with prescribed elastic properties

O Sigmund - Mechanics of materials, 1995 - Elsevier
This paper describes a method to design the periodic microstructure of a material to obtain
prescribed constitutive properties. The microstructure is modelled as a truss or thin frame …

[PDF][PDF] Design of material structures using topology optimization

O Sigmund - 1994 - researchgate.net
The work presented in this thesis for the Ph. D. degree has been carried out at the
Department of Solid Mechanics, Technical University of Denmark (DTU) and has been …

Removing the stiffness from interfacial flows with surface tension

TY Hou, JS Lowengrub, MJ Shelley - Journal of Computational Physics, 1994 - Elsevier
A new formulation and new methods are presented for computing the motion of fluid
interfaces with surface tension in two-dimensional, irrotational, and incompressible fluids …

A short course on fast multipole methods

R Beatson, L Greengard - Wavelets, multilevel methods and …, 1997 - books.google.com
In this series of lectures, we describe the analytic and computational foundations of fast
multipole methods, as well as some of their applications. They are most easily understood …

Iterative solution of linear systems

RW Freund, GH Golub, NM Nachtigal - Acta numerica, 1992 - cambridge.org
Iterative solution of linear systems Page 1 Ada Numerica (1991), pp. 57-100 Iterative solution of
linear systems Roland W. Preund * RIACS, Mail Stop Ellis Street NASA Ames Research Center …

A Cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow

D Russell, ZJ Wang - Journal of Computational Physics, 2003 - Elsevier
We present an efficient method for solving 2D incompressible viscous flows around multiple
moving objects. Our method employs an underlying regular Cartesian grid to solve the …

Nonlinear simulation of tumor growth

V Cristini, J Lowengrub, Q Nie - Journal of mathematical biology, 2003 - Springer
We study solid tumor (carcinoma) growth in the nonlinear regime using boundary-integral
simulations. The tumor core is nonnecrotic and no inhibitor chemical species are present. A …