Overview of Variational Formulations for Linear Elliptic PDEs

Euan Spence

Overview of Variational Formulations for Linear Elliptic PDEs

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

Abstract

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.

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

Cite this

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abstract = "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.",

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

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A2 - Fokas, Athanassios

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Overview of Variational Formulations for Linear Elliptic PDEs

Abstract

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