Overview and recent advances in natural neighbour Galerkin methods

E Cueto, N Sukumar, B Calvo, MA Martínez… - … methods in engineering, 2003 - Springer
In this paper, a survey of the most relevant advances in natural neighbour Galerkin methods
is presented. In these methods (also known as natural element methods, NEM), the Sibson …

Structure at 2.8 Å resolution of cytochrome c oxidase from Paracoccus denitrificans

S Iwata, C Ostermeier, B Ludwig, H Michel - Nature, 1995 - nature.com
The crystal structure at 2.8 Å resolution of the four protein subunits containing cytochrome c
oxidase from the soil bacterium Paracoccus denitrificans, complexed with an antibody Fv …

The natural element method in solid mechanics

N Sukumar, B Moran… - International journal for …, 1998 - Wiley Online Library
The application of the Natural Element Method (NEM) to boundary value problems in two‐
dimensional small displacement elastostatics is presented. The discrete model of the …

A numerical method for solving partial differential equations on highly irregular evolving grids

J Braun, M Sambridge - Nature, 1995 - nature.com
An efficient numerical method is described for solving partial differential equations in
problems where traditional eulerian and lagrangian techniques fail. The approach makes …

Natural neighbour Galerkin methods

N Sukumar, B Moran, A Yu Semenov… - … journal for numerical …, 2001 - Wiley Online Library
Natural neighbour co-ordinates (Sibson co-ordinates) is a well-known interpolation scheme
for multivariate data fitting and smoothing. The numerical implementation of natural …

Exact volume computation for polytopes: a practical study

B Büeler, A Enge, K Fukuda - Polytopes—combinatorics and computation, 2000 - Springer
We study several known volume computation algorithms for convex d-polytopes by
classifying them into two classes, triangulation methods and signed-decomposition …

Polyhedra in loop quantum gravity

E Bianchi, P Dona, S Speziale - … Review D—Particles, Fields, Gravitation, and …, 2011 - APS
Intertwiners are the building blocks of spin-network states. The space of intertwiners is the
quantization of a classical symplectic manifold introduced by Kapovich and Millson. Here we …

Polytope volume computation

J Lawrence - Mathematics of computation, 1991 - ams.org
A combinatorial form of Gram's relation for convex polytopes can be adapted for use in
computing polytope volume. We present an algorithm for volume computation based on this …

Estimation of parameter bounds from bounded-error data: a survey

E Walter, H Piet-Lahanier - Mathematics and Computers in simulation, 1990 - Elsevier
Set-membership techniques for estimating parameters from uncertain data are reviewed.
Contrary to the prevailing usage, the error in the data is not considered as a random variable …

Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra

EB Chin, JB Lasserre, N Sukumar - Computational Mechanics, 2015 - Springer
We present a method for the numerical integration of homogeneous functions over convex
and nonconvex polygons and polyhedra. On applying Stokes's theorem and using the …