Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs

Kimmel, Gregory J.; Glatz, Andreas

doi:10.1016/j.rinam.2019.100003

Title: Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs

Authors:

; Glatz, Andreas

Publication Date:: Sat Jun 01 00:00:00 EDT 2019

Sponsoring Org.:: USDOE

OSTI Identifier:: 1529159

Resource Type:: Published Article

Journal Name:: Results in Applied Mathematics

Additional Journal Information:: Journal Name: Results in Applied Mathematics Journal Volume: 1 Journal Issue: C; Journal ID: ISSN 2590-0374

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Citation Formats


                    Kimmel, Gregory J., and Glatz, Andreas. Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs.  Netherlands: N. p., 2019. 
Web.  doi:10.1016/j.rinam.2019.100003.

Copy to clipboard


                    Kimmel, Gregory J., & Glatz, Andreas. Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs.  Netherlands.  https://doi.org/10.1016/j.rinam.2019.100003

Copy to clipboard


                    Kimmel, Gregory J., and Glatz, Andreas. Sat .  
"Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs".  Netherlands.  https://doi.org/10.1016/j.rinam.2019.100003.

Copy to clipboard


                    
@article{osti_1529159,

  title        = {Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs},

  author       = {Kimmel, Gregory J. and Glatz, Andreas},

  abstractNote = {},

  doi          = {10.1016/j.rinam.2019.100003},

  journal      = {Results in Applied Mathematics},

  number       = C,

  volume       = 1,

  place        = {Netherlands},

  year         = {Sat Jun 01 00:00:00 EDT 2019},

  month        = {Sat Jun 01 00:00:00 EDT 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1016/j.rinam.2019.100003

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Acceleration of the Jacobi iterative method by factors exceeding 100 using scheduled relaxation
journal, October 2014

Yang, Xiyang I. A.; Mittal, Rajat
Journal of Computational Physics, Vol. 274
DOI: 10.1016/j.jcp.2014.06.010

Stable large-scale solver for Ginzburg–Landau equations for superconductors
journal, August 2015

Sadovskyy, I. A.; Koshelev, A. E.; Phillips, C. L.
Journal of Computational Physics, Vol. 294
DOI: 10.1016/j.jcp.2015.04.002

Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems
journal, March 1998

Chan, Raymond H.; Chang, Qian-Shun; Sun, Hai-Wei
SIAM Journal on Scientific Computing, Vol. 19, Issue 2
DOI: 10.1137/S1064827595293831

Damped Jacobi Preconditioning and Coarse Grid Deflation for Conjugate Gradient Iteration on Parallel Computers
journal, November 1991

Mansfield, Lois
SIAM Journal on Scientific and Statistical Computing, Vol. 12, Issue 6
DOI: 10.1137/0912071

Similar Records in DOE PAGES and OSTI.GOV collections:

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs

Journal Article Wang, Haijin ; Zhang, Qiang ; Shu, Chi-Wang - Mathematical Modelling and Numerical Analysis

Not provided.
https://doi.org/10.1051/m2an/2017017
Mass-preserving time second-order explicit–implicit domain decomposition schemes for solving parabolic equations with variable coefficients

Journal Article Zhou, Zhongguo ; Liang, Dong - Computational and Applied Mathematics

In this paper, the new mass-preserving time second-order explicit–implicit domain decomposition (DD) schemes for solving parabolic equations with various coefficients are proposed. In the schemes, first, the interface values on the interfaces of sub-domains are explicitly calculated, in which two kinds of explicit difference schemes are used. Second, the interior values in sub-domains are determined by the implicit schemes. Third, the interface values are recalculated explicitly to preserve mass. The important feature is that the developed schemes are more than first order in time step and the correction operators at the third step ensure the schemes’ mass conservative. The stabilitymore »« less
https://doi.org/10.1007/S40314-018-0583-9
Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation

Journal Article Song, Huailing ; Shu, Chi-Wang - Journal of Scientific Computing

Not provided.
https://doi.org/10.1007/s10915-017-0497-5
High-Order Implicit-Explicit Multi-Block Method for Hyperbolic PDEs.

Conference Fisher, Travis C. ; Nielsen, Tanner B. ; Franekl, Steven H.

Abstract not provided.
Full Text Available
High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations

Journal Article Lafon, F ; Osher, S - Journal of Computational Physics

For the computation of nonlinear solutions of Hamilton-Jacobi scalar equations in two space dimensions, we develop high order accurate numerical schemes that can be applied to complicated geometries. Previously, the recently developed essentially nonoscillatory (ENO) technology has been applied in simple domains like squares or rectangles using dimension-by-dimension algorithms. On arbitrary two dimensional closed or multiply connected domains, first order monotone methods were used. In this paper, we propose two different techniques to construct high order accurate methods using the ENO philosophy. Namely, any arbitrary domain is triangulated by finite elements into which two dimensional ENO polynomials are constructed. Thesemore »« less
https://doi.org/10.1006/jcph.1996.0021

Similar Records

Title: Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs

Citation Formats

Acceleration of the Jacobi iterative method by factors exceeding 100 using scheduled relaxation journal, October 2014

Stable large-scale solver for Ginzburg–Landau equations for superconductors journal, August 2015

Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems journal, March 1998

Damped Jacobi Preconditioning and Coarse Grid Deflation for Conjugate Gradient Iteration on Parallel Computers journal, November 1991

Acceleration of the Jacobi iterative method by factors exceeding 100 using scheduled relaxation
journal, October 2014

Stable large-scale solver for Ginzburg–Landau equations for superconductors
journal, August 2015

Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems
journal, March 1998

Damped Jacobi Preconditioning and Coarse Grid Deflation for Conjugate Gradient Iteration on Parallel Computers
journal, November 1991