Additive average Schwarz method for a Crouzeix–Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients

A. Loneland; L. Marcinkowski; T. Rahman

doi:10.1007/s00211-015-0771-0

Additive average Schwarz method for a Crouzeix–Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients

Numerische Mathematik ◽

10.1007/s00211-015-0771-0 ◽

2015 ◽

Vol 134 (1) ◽

pp. 91-118 ◽

Cited By ~ 1

Author(s):

A. Loneland ◽

L. Marcinkowski ◽

T. Rahman

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Element Discretization ◽

Schwarz Method ◽

Finite Volume Element

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Additive Average Schwarz Method for a Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXII ◽

10.1007/978-3-319-18827-0_60 ◽

2016 ◽

pp. 587-594 ◽

Cited By ~ 1

Author(s):

Atle Loneland ◽

Leszek Marcinkowski ◽

Talal Rahman

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Element Discretization ◽

Schwarz Method ◽

Finite Volume Element

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Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems

BIT Numerical Mathematics ◽

10.1007/s10543-015-0581-x ◽

2015 ◽

Vol 56 (3) ◽

pp. 967-993 ◽

Cited By ~ 3

Author(s):

L. Marcinkowski ◽

T. Rahman ◽

A. Loneland ◽

J. Valdman

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Element Discretization ◽

Additive Schwarz ◽

Finite Volume Element ◽

Schwarz Preconditioner

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Parallel Preconditioner for the Finite Volume Element Discretization of Elliptic Problems

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-642-55195-6_44 ◽

2014 ◽

pp. 469-478

Author(s):

Leszek Marcinkowski ◽

Talal Rahman

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Element Discretization ◽

Finite Volume Element

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Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20405 ◽

2009 ◽

Vol 25 (6) ◽

pp. 1402-1424 ◽

Cited By ~ 20

Author(s):

Sarvesh Kumar ◽

Neela Nataraj ◽

Amiya K. Pani

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Order Linear ◽

Finite Volume Element

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Finite volume element method for monotone nonlinear elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21747 ◽

2012 ◽

Vol 29 (4) ◽

pp. 1097-1120 ◽

Cited By ~ 5

Author(s):

Chunjia Bi ◽

Yanping Lin ◽

Min Yang

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Nonlinear Elliptic Problems ◽

Finite Volume Element Method ◽

Nonlinear Elliptic ◽

Finite Volume Element ◽

Element Method

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Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator–prey model

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2016.06.002 ◽

2017 ◽

Vol 132 ◽

pp. 28-52 ◽

Cited By ~ 6

Author(s):

Raimund Bürger ◽

Ricardo Ruiz-Baier ◽

Canrong Tian

Keyword(s):

Stability Analysis ◽

Finite Volume ◽

Temporal Patterns ◽

Volume Element ◽

Element Discretization ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Finite Volume Element ◽

Spatio Temporal

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Mixed finite element – discontinuous finite volume element discretization of a general class of multicontinuum models

Journal of Computational Physics ◽

10.1016/j.jcp.2016.06.054 ◽

2016 ◽

Vol 322 ◽

pp. 666-688 ◽

Cited By ~ 11

Author(s):

Ricardo Ruiz-Baier ◽

Ivan Lunati

Keyword(s):

Finite Element ◽

Finite Volume ◽

General Class ◽

Mixed Finite Element ◽

Volume Element ◽

Element Discretization ◽

Finite Volume Element

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Error estimates for finite volume element methods for general second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10068 ◽

2003 ◽

Vol 19 (6) ◽

pp. 693-708 ◽

Cited By ~ 47

Author(s):

Haijun Wu ◽

Ronghua Li

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Finite Volume Element ◽

Second Order Elliptic Problems

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A discontinuous finite volume element method for second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20626 ◽

2010 ◽

Vol 28 (2) ◽

pp. 425-440 ◽

Cited By ~ 17

Author(s):

Chunjia Bi ◽

Mingming Liu

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Second Order Elliptic Problems ◽

Element Method

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Two-grid finite volume element method for linear and nonlinear elliptic problems

Numerische Mathematik ◽

10.1007/s00211-007-0115-9 ◽

2007 ◽

Vol 108 (2) ◽

pp. 177-198 ◽

Cited By ~ 55

Author(s):

Chunjia Bi ◽

Victor Ginting

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Nonlinear Elliptic Problems ◽

Finite Volume Element Method ◽

Nonlinear Elliptic ◽

Finite Volume Element ◽

Linear And Nonlinear ◽

Element Method

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