Parallel Multiplicative and Additive Multilevel Methods for Elliptic Problems in Three-Dimensional Domains

Advances in Computational Mechanics for Parallel and Distributed Processing ◽

10.4203/ccp.45.5.4 ◽

2009 ◽

Author(s):

M. Jung

Keyword(s):

Three Dimensional ◽

Elliptic Problems ◽

Multilevel Methods

Download Full-text

Improved extrapolated alternating direction implicit schemes for the numerical solution of three-dimensional elliptic problems

BIT Numerical Mathematics ◽

10.1007/bf01931216 ◽

1979 ◽

Vol 19 (1) ◽

pp. 12-18 ◽

Author(s):

G. Avdelas ◽

A. Hadjidimos ◽

N. P. Krimnianiotis

Keyword(s):

Numerical Solution ◽

Three Dimensional ◽

Elliptic Problems ◽

Alternating Direction Implicit ◽

Implicit Schemes ◽

Alternating Direction

Download Full-text

A Multilevel Method for Discontinuous Galerkin Approximation of Three-dimensional Elliptic Problems

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

10.1007/978-3-540-75199-1_14 ◽

2008 ◽

pp. 155-164

Author(s):

Johannes K. Kraus ◽

Satyendra K. Tomar

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Three Dimensional ◽

Elliptic Problems ◽

Multilevel Method

Download Full-text

Multilevel methods for elliptic problems on domains not resolved by the coarse grid

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01956 ◽

1994 ◽

pp. 49-60 ◽

Author(s):

Ralf Kornhuber ◽

Harry Yserentant

Keyword(s):

Elliptic Problems ◽

Coarse Grid ◽

Multilevel Methods

Download Full-text

Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems

SIAM Journal on Numerical Analysis ◽

10.1137/100813853 ◽

2012 ◽

Vol 50 (1) ◽

pp. 194-215 ◽

Author(s):

Carlo D'Angelo

Keyword(s):

Finite Element ◽

Three Dimensional ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Weighted Spaces ◽

Dirac Measure ◽

Element Approximation ◽

Coupled Problems

Download Full-text

h- p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-II: Proof of stability theorem

Proceedings - Mathematical Sciences ◽

10.1007/s12044-015-0239-2 ◽

2015 ◽

Vol 125 (3) ◽

pp. 413-447 ◽

Author(s):

P DUTT ◽

AKHLAQ HUSAIN ◽

A S VASUDEVA MURTHY ◽

C S UPADHYAY

Keyword(s):

Three Dimensional ◽

Elliptic Problems ◽

Spectral Element ◽

Stability Theorem ◽

Spectral Element Methods

Download Full-text

Local Multilevel Methods for Second-Order Elliptic Problems with Highly Discontinuous Coefficients

Journal of Computational Mathematics ◽

10.4208/jcm.1109-m3401 ◽

2012 ◽

Vol 30 (3) ◽

pp. 223-248 ◽

Author(s):

Huangxin Chen

Keyword(s):

Elliptic Problems ◽

Discontinuous Coefficients ◽

Second Order ◽

Multilevel Methods ◽

Second Order Elliptic Problems

Download Full-text

Robust multilevel methods for quadratic finite element anisotropic elliptic problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.1876 ◽

2013 ◽

Vol 21 (3) ◽

pp. 375-398 ◽

Author(s):

Johannes Kraus ◽

Maria Lymbery ◽

Svetozar Margenov

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Multilevel Methods

Download Full-text

Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids

SIAM Journal on Numerical Analysis ◽

10.1137/100805248 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1675-1694 ◽

Author(s):

Robert Scheichl ◽

Panayot S. Vassilevski ◽

Ludmil T. Zikatanov

Keyword(s):

Elliptic Problems ◽

Multilevel Methods ◽

Varying Coefficients ◽

Download Full-text

BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients

Journal of Computational Physics ◽

10.1016/j.jcp.2017.08.003 ◽

2017 ◽

Vol 349 ◽

pp. 191-214 ◽

Author(s):

Hyea Hyun Kim ◽

Eric Chung ◽

Junxian Wang

Keyword(s):

Three Dimensional ◽

Elliptic Problems ◽

Download Full-text

Dual finite element analysis of three-dimensional axisymmetric elliptic problems. Part I

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690090503 ◽

1993 ◽

Vol 9 (5) ◽

pp. 507-526 ◽

Author(s):

Ivan Hlaváček ◽

Michal Křížek

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Three Dimensional ◽

Elliptic Problems ◽

Element Analysis

Download Full-text