The natural element method in solid mechanics
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 …
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 …
ranging from computational statistics to finite element methods. When trying to solve …
Void probabilities and Cauchy–Schwarz divergence for generalized labeled multi-Bernoulli models
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 …
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 …
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
We present a model for representing stationary multivariate time-series input processes with
marginal distributions from the Johnson translation system and an autocorrelation structure …
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 …
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 …
modeling discontinuities independent of the mesh structure. The enrichment of the element …
[HTML][HTML] Gauss–Green cubature and moment computation over arbitrary geometries
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 …
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
Accurate geometrical models of the head are necessary for solving the forward and inverse
problems of magneto-and electro-encephalography (MEG/EEG). Boundary element …
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 …
problems in biomolecular electrostatics using the linearized Poisson–Boltzmann equation …