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 …

[BOOK][B] Computational integration

AR Krommer, CW Ueberhuber - 1998 - SIAM
The calculation of integrals is an important task in many fields of scientific computation,
ranging from computational statistics to finite element methods. When trying to solve …

Void probabilities and Cauchy–Schwarz divergence for generalized labeled multi-Bernoulli models

M Beard, BT Vo, BN Vo… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The generalized labeled multi-Bernoulli (GLMB) is a family of tractable models that
alleviates the limitations of the Poisson family in dynamic Bayesian inference of point …

The distribution of points on the sphere and corresponding cubature formulae

J Fliege, U Maier - IMA Journal of Numerical Analysis, 1999 - academic.oup.com
In applications, for instance in optics and astrophysics, there is a need for high-accuracy
integration formulae for functions on the sphere. To construct better formulae than previously …

Modeling and generating multivariate time-series input processes using a vector autoregressive technique

B Biller, BL Nelson - ACM Transactions on Modeling and Computer …, 2003 - dl.acm.org
We present a model for representing stationary multivariate time-series input processes with
marginal distributions from the Johnson translation system and an autocorrelation structure …

Matlab program for quadrature in 2D

LF Shampine - Applied Mathematics and Computation, 2008 - Elsevier
We discuss here the algorithms of TwoD, a Matlab program for approximating integrals over
generalized rectangles and sectors. Capabilities of the language are exploited to make …

Equivalent polynomials for quadrature in Heaviside function enriched elements

G Ventura, E Benvenuti - International Journal for Numerical …, 2015 - Wiley Online Library
One of the advantages of partition‐of‐unity FEMs, like the extended FEM, is the ability of
modeling discontinuities independent of the mesh structure. The enrichment of the element …

[HTML][HTML] Gauss–Green cubature and moment computation over arbitrary geometries

A Sommariva, M Vianello - Journal of Computational and Applied …, 2009 - Elsevier
We have implemented in Matlab a Gauss-like cubature formula over arbitrary bivariate
domains with a piecewise regular boundary, which is tracked by splines of maximum degree …

Generalized head models for MEG/EEG: boundary element method beyond nested volumes

J Kybic, M Clerc, O Faugeras, R Keriven… - Physics in Medicine …, 2006 - iopscience.iop.org
Accurate geometrical models of the head are necessary for solving the forward and inverse
problems of magneto-and electro-encephalography (MEG/EEG). Boundary element …

Accurate solution of multi‐region continuum biomolecule electrostatic problems using the linearized Poisson–Boltzmann equation with curved boundary elements

MD Altman, JP Bardhan, JK White… - Journal of computational …, 2009 - Wiley Online Library
We present a boundary‐element method (BEM) implementation for accurately solving
problems in biomolecular electrostatics using the linearized Poisson–Boltzmann equation …