### Abstract

A method for engineering analysis using a regular or structured grid is described which does not require a conforming mesh to approximate the geometry of the analysis domain. The geometry of the domain is represented using implicit equations and a structured grid is used to approximate the solution. Solution structures are constructed using implicit equations such that the essential boundary conditions are satisfied exactly. The use of structured grid eliminates the need to generate a conforming mesh and thus reduces time taken to create models for analysis. This approach is used to solve boundary value problems arising in thermal and structural analysis. Convergence analysis is performed for several numerical examples and the results are compared with analytical and finite element analysis solutions to show that the method gives solutions that are similar to the finite element method in quality but is often less computationally expensive.

Original language | English (US) |
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Title of host publication | 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007 |

Pages | 119-132 |

Number of pages | 14 |

DOIs | |

State | Published - Jun 13 2008 |

Event | 27th Computers and Information in Engineering Conference, presented at - 2007 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2007 - Las Vegas, NV, United States Duration: Sep 4 2007 → Sep 7 2007 |

### Publication series

Name | 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007 |
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Volume | 2 PART A |

### Conference

Conference | 27th Computers and Information in Engineering Conference, presented at - 2007 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2007 |
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Country | United States |

City | Las Vegas, NV |

Period | 9/4/07 → 9/7/07 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Graphics and Computer-Aided Design
- Computer Science Applications
- Mechanical Engineering
- Modeling and Simulation

### Cite this

*2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007*(pp. 119-132). (2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007; Vol. 2 PART A). https://doi.org/10.1115/DETC2007-35693

**Finite element analysis using non-conforming mesh.** / Kumar, Ashok V.; Padmanabhan, Sanjeev; Burla, Ravi; Gu, Linxia.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007.*2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007, vol. 2 PART A, pp. 119-132, 27th Computers and Information in Engineering Conference, presented at - 2007 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2007, Las Vegas, NV, United States, 9/4/07. https://doi.org/10.1115/DETC2007-35693

}

TY - GEN

T1 - Finite element analysis using non-conforming mesh

AU - Kumar, Ashok V.

AU - Padmanabhan, Sanjeev

AU - Burla, Ravi

AU - Gu, Linxia

PY - 2008/6/13

Y1 - 2008/6/13

N2 - A method for engineering analysis using a regular or structured grid is described which does not require a conforming mesh to approximate the geometry of the analysis domain. The geometry of the domain is represented using implicit equations and a structured grid is used to approximate the solution. Solution structures are constructed using implicit equations such that the essential boundary conditions are satisfied exactly. The use of structured grid eliminates the need to generate a conforming mesh and thus reduces time taken to create models for analysis. This approach is used to solve boundary value problems arising in thermal and structural analysis. Convergence analysis is performed for several numerical examples and the results are compared with analytical and finite element analysis solutions to show that the method gives solutions that are similar to the finite element method in quality but is often less computationally expensive.

AB - A method for engineering analysis using a regular or structured grid is described which does not require a conforming mesh to approximate the geometry of the analysis domain. The geometry of the domain is represented using implicit equations and a structured grid is used to approximate the solution. Solution structures are constructed using implicit equations such that the essential boundary conditions are satisfied exactly. The use of structured grid eliminates the need to generate a conforming mesh and thus reduces time taken to create models for analysis. This approach is used to solve boundary value problems arising in thermal and structural analysis. Convergence analysis is performed for several numerical examples and the results are compared with analytical and finite element analysis solutions to show that the method gives solutions that are similar to the finite element method in quality but is often less computationally expensive.

UR - http://www.scopus.com/inward/record.url?scp=44849119435&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44849119435&partnerID=8YFLogxK

U2 - 10.1115/DETC2007-35693

DO - 10.1115/DETC2007-35693

M3 - Conference contribution

AN - SCOPUS:44849119435

SN - 0791848027

SN - 9780791848029

SN - 0791848035

SN - 9780791848036

T3 - 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

SP - 119

EP - 132

BT - 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

ER -