Coupling flat-top partition of unity method and finite element method

Authors:
Won-Tak Hong;Phill-Seung Lee
Affiliations:
KAIST Institute for Design of Complex Systems, 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, Republic of Korea;KAIST Ocean Systems Engineering, 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, Republic of Korea
Venue:
Finite Elements in Analysis and Design
Year:
2013

Citing 8
Cited 1

A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies

Computer Methods in Applied Mechanics and Engineering
Coupling of spectral methods and the p-version of the finite element method for elliptic boundary value problems containing singularities

Journal of Computational Physics
Discontinuous enrichment in finite elements with a partition of unity method

Finite Elements in Analysis and Design - Special issue on Robert J. Melosh medal competition
Reformulation of XFEM based on PUFEM for solving problem caused by blending elements

Finite Elements in Analysis and Design
The generalized product partition of unity for the meshless methods

Journal of Computational Physics
The quadratic MITC plate and MITC shell elements in plate bending

Advances in Engineering Software
Phantom-node method for shell models with arbitrary cracks

Computers and Structures
Improving the MITC3 shell finite element by using the Hellinger-Reissner principle

Computers and Structures

The MITC3 shell finite element enriched by interpolation covers

Computers and Structures

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present a novel technique of coupling finite element method with mesh-based flat-top partition of unity method. The proposed coupling method allows us to bind any order of finite elements with flat-top partition of unity method. To verify the coupling, we test the coupling method on one- and two-dimensional boundary value problems including linear elasticity problem on a cracked domain. The coupled formulation provides a platform for stable enrichments to obtain highly accurate solution especially in the enrichment area.