A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution

A Generalized Finite Element Method for Solving the Helmholtz Equation in Two Dimensions with Minimal Pollution.

10.21236/ada290280 ◽

1994 ◽

Cited By ~ 2

Author(s):

Ivo M. Babuska ◽

Frank Ihlenburg ◽

Ellen T. Paik ◽

Stefan A. Sauter

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Two Dimensions ◽

The generalized finite element method for Helmholtz equation: Theory, computation, and open problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2005.09.019 ◽

2006 ◽

Vol 195 (37-40) ◽

pp. 4711-4731 ◽

Cited By ~ 123

Author(s):

Theofanis Strouboulis ◽

Ivo Babuška ◽

Realino Hidajat

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Open Problems ◽

The generalized finite element method for Helmholtz equation. Part II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.05.019 ◽

2008 ◽

Vol 197 (5) ◽

pp. 364-380 ◽

Cited By ~ 44

Author(s):

Theofanis Strouboulis ◽

Realino Hidajat ◽

Ivo Babuška

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Helmholtz Equation ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

The Generalized Finite Element Method applied to dynamic transient analysis

10.26678/abcm.cobem2017.cob17-0535 ◽

2017 ◽

Author(s):

Marcos Arndt ◽

ROBERTO Dalledone Machado ◽

Leticia Col Debella

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transient Analysis ◽

EXTRACTION OF TRANSVERSE AND IN-PLANE DISPLACEMENTS AND STRESSES FROM GENERALIZED FINITE ELEMENT METHOD BASED ON REISSNER-MINDLIN MODEL

10.26678/abcm.cobem2019.cob2019-0484 ◽

2019 ◽

Author(s):

Wellington Rhoden de Lemos ◽

Paulo de Tarso Mendonça

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Steady State Heat Conduction Modeling by the Generalized Finite Element Method

10.26678/abcm.encit2018.cit18-0763 ◽

2018 ◽

Author(s):

Humberto Alves da Silveira Monteiro ◽

Guilherme Garcia Botelho ◽

Roque Luiz da Silva Pitangueira ◽

Rodrigo Peixoto ◽

FELICIO BARROS

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Heat Conduction ◽

Steady State ◽

State Heat ◽

Steady State Heat ◽

Superconvergence in the Generalized Finite Element Method

10.21236/ada440610 ◽

2005 ◽

Cited By ~ 1

Author(s):

Ivo Babuska ◽

Uday Banerjee ◽

John E. Osborn

Keyword(s):

Finite Element Method ◽

Finite Element ◽

A high-order generalized Finite Element Method for multiscale structural dynamics and wave propagation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113934 ◽

2021 ◽

Vol 384 ◽

pp. 113934

Author(s):

A.G. Sanchez-Rivadeneira ◽

C.A. Duarte

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

Structural Dynamics ◽

High Order ◽

Non-intrusive coupling of a 3-D Generalized Finite Element Method and Abaqus for the multiscale analysis of localized defects and structural features

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2021.103554 ◽

2021 ◽

Vol 193 ◽

pp. 103554

Author(s):

H. Li ◽

P. O'Hara ◽

C.A. Duarte

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Multiscale Analysis ◽

Structural Features ◽

Localized Defects ◽

Stabilization of advection dominated problems through a generalized finite element method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113889 ◽

2021 ◽

Vol 383 ◽

pp. 113889

Author(s):

Troy Shilt ◽

Patrick J. O’Hara ◽

Jack J. McNamara

Keyword(s):

Finite Element Method ◽

Finite Element ◽