NURBS-SEM: A hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces

Authors :: Luca Heltai
Giuseppe Pitton
Source :: Computer Methods in Applied Mechanics and Engineering. 338:440-462
Publication Year :: 2018
Publisher :: Elsevier BV, 2018.
Abstract: Non Uniform Rational B-spline (NURBS) patches are a standard way to describe complex geometries in Computer Aided Design tools, and have gained a lot of popularity in recent years also for the approximation of partial differential equations, via the Isogeometric Analysis (IGA) paradigm. However, spectral accuracy in IGA is limited to relatively small NURBS patch degrees (roughly p<br />33 pages, 15 figures, 3 tables, to appear on "Computer Methods in Applied Mechanics and Engineering"

Subjects :: Surface (mathematics)
Technology
Laplace-Beltrami
Computer science
Computational Mechanics
General Physics and Astronomy
010103 numerical & computational mathematics
Laplace–Beltrami
computer.software_genre
01 natural sciences
09 Engineering
Engineering
Computer Aided Design
Galerkin method
Partial differential equation
Collocation
Applied Mathematics
Computer Science Applications1707 Computer Vision and Pattern Recognition
Numerical Analysis (math.NA)
COLLOCATION
Computer Science Applications
010101 applied mathematics
Mechanics of Materials
Physical Sciences
SEM
Mathematics, Interdisciplinary Applications
High order methods
math.NA
Spectral element method
Engineering, Multidisciplinary
Isogeometric analysis
Mechanics
Mathematics::Numerical Analysis
Physics and Astronomy (all)
Settore MAT/08 - Analisi Numerica
Allen–Cahn
FOS: Mathematics
Applied mathematics
Mathematics - Numerical Analysis
0101 mathematics
Representation (mathematics)
IGA
01 Mathematical Sciences
Science & Technology
Mechanical Engineering
ISOGEOMETRIC ANALYSIS
FRAMEWORK
Computer Science::Numerical Analysis
NURBS
Allen-Cahn
PARTIAL-DIFFERENTIAL-EQUATIONS
computer
Mathematics

Tools