NDLI: Adaptive Node Refinement Collocation Method for Partial Differential Equations

Content Provider	IEEE Xplore Digital Library
Author	Munoz-Gomez, J.A. Gonzalez-Casanova, P. Rodriguez-Gomez, G.
Copyright Year	2006
Description	Author affiliation: Ciencias Computacionales, Inst. Nacional de Astrofisica, Optica y Electronica Puebla, Tonantzintla (Munoz-Gomez, J.A.)
Abstract	In this work, by using the local node refinement technique proposed by Behrens and Iske (2002) and Behrens et al. (2001), and a quad-tree type algorithm (Berger and Jameson, 1985; Keats and Lien, 2004), we built a global refinement technique for Kansa's unsymmetric collocation approach. The proposed scheme is based on a cell by cell data structure, which by using the former local error estimator, iteratively refines the node density in regions with insufficient accuracy. We test our algorithm for steady state partial differential equations in one and two dimensions. By using thin-plate spline kernel functions, we found that the node refinement let us to reduce the approximation error and that the node insertion is only performed in regions where the analytical solution shows a high spatial variation. In addition, we found that the node refinement outperform in accuracy and number of nodes in comparison with the global classical Cartesian h-refinement technique
Starting Page	70
Ending Page	80
File Size	192999
Page Count	11
File Format	PDF
ISBN	0769526667
ISSN	15504069
DOI	10.1109/ENC.2006.4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-09-18
Publisher Place	Mexico
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Partial differential equations Boundary value problems Optical computing Adaptive optics Iterative algorithms Data structures Application software Testing Steady-state Spline
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Adaptive Node Refinement Collocation Method for Partial Differential Equations (2006)

Adaptive Node Refinement Collocation Method for Partial Differential Equations Jos e Antonio Mu noz-G omez (2006)

Solving two-point boundary value problems of fractional differential equations by spline collocation methods.

Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations

Analysis of iterative line spline collocation methods for elliptic partial differential equations.

Iterative parallel methods for boundary value problems

Collocation Software for Boundary Value Differential-Algebraic Equations

Cubic spline solution for a class of boundary value problems using spectral collocation method

An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations

Adaptive Node Refinement Collocation Method for Partial Differential Equations

Similar Documents

Adaptive Node Refinement Collocation Method for Partial Differential Equations (2006)

Adaptive Node Refinement Collocation Method for Partial Differential Equations Jos e Antonio Mu noz-G omez (2006)

Solving two-point boundary value problems of fractional differential equations by spline collocation methods.

Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations

Analysis of iterative line spline collocation methods for elliptic partial differential equations.

Iterative parallel methods for boundary value problems

Collocation Software for Boundary Value Differential-Algebraic Equations

Cubic spline solution for a class of boundary value problems using spectral collocation method

An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations

Adaptive Node Refinement Collocation Method for Partial Differential Equations