NDLI: Locally Optimized MIC ( 0 ) Preconditioning of Rannacher-Turek FEM Systems

Please wait, while we are loading the content...

Locally Optimized MIC ( 0 ) Preconditioning of Rannacher-Turek FEM Systems

Content Provider	Semantic Scholar
Author	Georgiev, Ivan Kraus, Johannes Margenov, Svetozar Schicho, J.
Copyright Year	2007
Abstract	In this paper Rannacher-Turek non-conforming rotated bilinear finite elements are applied for the numerical solution of second order elliptic boundary value problems. The preconditioned conjugate gradient method is used for the iterative solution of the arising linear algebraic system. A locally optimized construction for an M-matrix approximation of the global stiffness matrix is the first step of the proposed algorithm. Then, the preconditioner is obtained by modified incomplete Cholesky factorization (MIC(0)) of the auxiliary M-matrix. Three different approaches for the construction of such matrices are presented. The related spectral condition number estimates are derived. Among the most important contributions of the paper is the clarified role of the skewed meshes for strongly anisotropic problems. A set of numerical tests is presented to illustrate the theoretical investigations. key words: non-conforming FEM, incomplete factorization, element preconditioning, symbolic techniques
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://ricamwww.ricam.oeaw.ac.at/publications/reports/07/rep07-32.pdf
Alternate Webpage(s)	http://www.ricam.oeaw.ac.at/publications/reports/07/rep07-32.pdf
Language	English
Access Restriction	Open
Subject Keyword	Algorithm Approximation Bilinear filtering Cholesky decomposition Clarify Condition number Conjugate gradient method Ductal Carcinoma In Situ with Microinvasion Estimated Finite element method Immunostimulating conjugate (antigen) Incomplete Cholesky factorization Iterative method Numerical analysis Numerical method Numerical partial differential equations Preconditioner Singular value decomposition Stiffness matrix
Content Type	Text
Resource Type	Article

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

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