### Abstract

Original language | English |
---|---|

Title of host publication | Unified Transform for Boundary Value Problems: Applications and Advances |

Editors | Beatrice Pelloni, Athanassios Fokas |

Publisher | SIAM |

Pages | 93-160 |

ISBN (Print) | 978-1-611973-81-5 |

Publication status | Published - 2015 |

### Fingerprint

### Cite this

*Unified Transform for Boundary Value Problems: Applications and Advances*(pp. 93-160). SIAM.

**Overview of Variational Formulations for Linear Elliptic PDEs.** / Spence, Euan.

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

*Unified Transform for Boundary Value Problems: Applications and Advances.*SIAM, pp. 93-160.

}

TY - CHAP

T1 - Overview of Variational Formulations for Linear Elliptic PDEs

AU - Spence, Euan

PY - 2015

Y1 - 2015

N2 - Although the motto “when all else fails, integrate by parts” is applicable in a wide range of situations, the author first heard it in the context of the finite element method (FEM). The motto is relevant here since this method is based on the weak form of the PDE that one is trying to solve, and the weak form is obtained by multiplying the PDE by a test function and integrating by parts.

AB - Although the motto “when all else fails, integrate by parts” is applicable in a wide range of situations, the author first heard it in the context of the finite element method (FEM). The motto is relevant here since this method is based on the weak form of the PDE that one is trying to solve, and the weak form is obtained by multiplying the PDE by a test function and integrating by parts.

M3 - Chapter

SN - 978-1-611973-81-5

SP - 93

EP - 160

BT - Unified Transform for Boundary Value Problems: Applications and Advances

A2 - Pelloni, Beatrice

A2 - Fokas, Athanassios

PB - SIAM

ER -