Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm with Richardson Extrapolation

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-030-11539-5_62 ◽

2019 ◽

pp. 533-541

Author(s):

Svetlana Tikhovskaya

Keyword(s):

Elliptic Problem ◽

Richardson Extrapolation ◽

Singularly Perturbed ◽

Multigrid Algorithm ◽

Cascadic Multigrid

Download Full-text

Solving a Singularly Perturbed Elliptic Problem by a Multigrid Algorithm with Richardson Extrapolation

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_77 ◽

2017 ◽

pp. 674-681 ◽

Cited By ~ 1

Author(s):

Svetlana Tikhovskaya

Keyword(s):

Elliptic Problem ◽

Richardson Extrapolation ◽

Singularly Perturbed ◽

Multigrid Algorithm

Download Full-text

A Cascadic Multigrid Algorithm on the Shishkin Mesh for a Singularly Perturbed Elliptic Problem

Journal of Physics Conference Series ◽

10.1088/1742-6596/1901/1/012052 ◽

2021 ◽

Vol 1901 (1) ◽

pp. 012052

Author(s):

S V Tikhovskaya

Keyword(s):

Elliptic Problem ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Multigrid Algorithm ◽

Cascadic Multigrid

Download Full-text

A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1079029-1 ◽

1991 ◽

Vol 57 (195) ◽

pp. 47-47 ◽

Cited By ~ 21

Author(s):

Eugene O’Riordan ◽

Martin Stynes

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problem ◽

Two Dimensions ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Element Method

Download Full-text

Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation

Izvestiya Mathematics ◽

10.1070/im8478 ◽

2017 ◽

Vol 81 (3) ◽

pp. 481-504 ◽

Cited By ~ 8

Author(s):

V F Butuzov

Keyword(s):

Asymptotic Behaviour ◽

Elliptic Problem ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Stability Of Solutions

Download Full-text

The Richardson extrapolation technique for quasilinear parabolic singularly perturbed convection-diffusion equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/55/1/019 ◽

2006 ◽

Vol 55 ◽

pp. 203-213 ◽

Cited By ~ 2

Author(s):

G I Shishkin ◽

L P Shishkina

Keyword(s):

Richardson Extrapolation ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Extrapolation Technique ◽

Richardson Extrapolation Technique ◽

Quasilinear Parabolic

Download Full-text

A Cascadic Multigrid Algorithm for the Double Obstacle Problem

2010 Second International Conference on Computer Modeling and Simulation ◽

10.1109/iccms.2010.168 ◽

2010 ◽

Author(s):

Jiantao Gu ◽

Caixia Liu ◽

Liping Du

Keyword(s):

Obstacle Problem ◽

Multigrid Algorithm ◽

Cascadic Multigrid

Download Full-text

Boundary concentration phenomena for a singularly perturbed elliptic problem

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.10049 ◽

2002 ◽

Vol 55 (12) ◽

pp. 1507-1568 ◽

Cited By ~ 85

Author(s):

Andrea Malchiodi ◽

Marcelo Montenegro

Keyword(s):

Elliptic Problem ◽

Singularly Perturbed ◽

Boundary Concentration ◽

Concentration Phenomena

Download Full-text

A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(99)00226-6 ◽

1999 ◽

Vol 38 (5-6) ◽

pp. 197-206 ◽

Cited By ~ 2

Author(s):

Jichun Li ◽

I.M. Navon

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problem ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Element Method

Download Full-text

A C0 interior penalty method for a singularly-perturbed fourth-order elliptic problem on a layer-adapted mesh

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21839 ◽

2013 ◽

Vol 30 (3) ◽

pp. 838-861 ◽

Cited By ~ 9

Author(s):

Sebastian Franz ◽

Hans-Görg Roos ◽

Andreas Wachtel

Keyword(s):

Fourth Order ◽

Elliptic Problem ◽

Penalty Method ◽

Singularly Perturbed ◽

Interior Penalty ◽

Order Elliptic Problem ◽

Interior Penalty Method

Download Full-text

A robust finite element method for a singularly perturbed elliptic problem with two small parameters

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(98)00175-8 ◽

1998 ◽

Vol 36 (7) ◽

pp. 91-110 ◽

Cited By ~ 8

Author(s):

J. Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problem ◽

Singularly Perturbed ◽

Small Parameters ◽

Element Method

Download Full-text