A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems

Thomas Ludescher; Sven Gross; Arnold Reusken

doi:10.1137/18m1203353

A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems

SIAM Journal on Scientific Computing ◽

10.1137/18m1203353 ◽

2020 ◽

Vol 42 (1) ◽

pp. A318-A342

Author(s):

Thomas Ludescher ◽

Sven Gross ◽

Arnold Reusken

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Finite Element Discretizations ◽

Element Discretizations

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A Multigrid Method Based on the Unconstrained Product Space for Mortar Finite Element Discretizations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999360676 ◽

2001 ◽

Vol 39 (1) ◽

pp. 192-213 ◽

Cited By ~ 14

Author(s):

Barbara I. Wohlmuth ◽

Rolf H. Krause

Keyword(s):

Finite Element ◽

Product Space ◽

Multigrid Method ◽

Finite Element Discretizations ◽

Element Discretizations

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A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the 2D-Stokes Equation

Computing ◽

10.1007/s006070070027 ◽

2000 ◽

Vol 64 (4) ◽

pp. 307-321 ◽

Cited By ~ 7

Author(s):

V. John ◽

L. Tobiska

Keyword(s):

Finite Element ◽

Stokes Equation ◽

Multigrid Method ◽

Nonconforming Finite Element ◽

Finite Element Discretizations ◽

Element Discretizations

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An algebraic multigrid method for finite element discretizations with edge elements

Numerical Linear Algebra with Applications ◽

10.1002/nla.271 ◽

2002 ◽

Vol 9 (3) ◽

pp. 223-238 ◽

Cited By ~ 90

Author(s):

S. Reitzinger ◽

J. Schöberl

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method ◽

Edge Elements ◽

Finite Element Discretizations ◽

Element Discretizations

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An Algebraic Multigrid Method for Higher-order Finite Element Discretizations

Computing ◽

10.1007/s00607-006-0162-6 ◽

2006 ◽

Vol 77 (4) ◽

pp. 347-377 ◽

Cited By ~ 13

Author(s):

S. Shu ◽

D. Sun ◽

J. Xu

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Higher Order ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method ◽

Finite Element Discretizations ◽

Element Discretizations

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Correction: An Implicit Block ILU Smoother for Preconditioning of Newton-Krylov Solvers with Application in Finite-Element Discretizations

AIAA Scitech 2019 Forum ◽

10.2514/6.2019-0101.c1 ◽

2019 ◽

Author(s):

Behzad Reza Ahrabi ◽

Dimitri J. Mavriplis

Keyword(s):

Finite Element ◽

Finite Element Discretizations ◽

Element Discretizations

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Reissner’s Mixed Variational Theorem and triangular finite element discretizations: an energetic interpretation

Thin-Walled Structures ◽

10.1016/j.tws.2021.107994 ◽

2021 ◽

Vol 166 ◽

pp. 107994

Author(s):

Luciano Demasi ◽

Victor Hong ◽

Enrico Santarpia

Keyword(s):

Finite Element ◽

Triangular Finite Element ◽

Variational Theorem ◽

Finite Element Discretizations ◽

Reissner’S Mixed Variational Theorem ◽

Element Discretizations

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Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Journal of Scientific Computing ◽

10.1007/s10915-004-4136-6 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 47-82 ◽

Cited By ~ 50

Author(s):

Onno Bokhove

Keyword(s):

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

One Dimension ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Finite Element Discretizations ◽

Flooding And Drying ◽

Element Discretizations

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Mesh adaptations for linear 2d finite-element discretizations in structural mechanics, especially in thin shell analysis

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(91)90229-d ◽

1991 ◽

Vol 36 (1) ◽

pp. 107-129 ◽

Cited By ~ 15

Author(s):

Erwin Stein ◽

Wilhelm Rust

Keyword(s):

Finite Element ◽

Thin Shell ◽

Structural Mechanics ◽

Shell Analysis ◽

Finite Element Discretizations ◽

Element Discretizations

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A partially penalty immersed interface finite element method for anisotropic elliptic interface problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21886 ◽

2014 ◽

Vol 30 (6) ◽

pp. 1984-2028 ◽

Cited By ~ 12

Author(s):

Na An ◽

Huan-zhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Immersed Interface ◽

Elliptic Interface Problems ◽

Element Method

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A parallel solver for adaptive finite element discretizations

Numerical Algorithms ◽

10.1007/s11075-005-3143-5 ◽

2005 ◽

Vol 40 (3) ◽

pp. 217-231 ◽

Cited By ~ 3

Author(s):

F. Marcuzzi ◽

M. Morandi Cecchi

Keyword(s):

Finite Element ◽

Adaptive Finite Element ◽

Parallel Solver ◽

Finite Element Discretizations ◽

Element Discretizations

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