☆ 4.7 Article

A Hermite cubic collocation scheme for plane strain hydraulic fractures

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2010)

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Journal

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 29-32, Pages 1949-1962

Publisher

ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.02.009

Keywords

Hydraulic fractures; Integro-partial differential equations; Hermite cubic interpolation; Collocation methods

Categories

Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications Mechanics

Funding

  1. NSERC (Canada)

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We describe a novel cubic Hermite collocation scheme for the solution of the coupled integro-partial differential equations governing the propagation of a hydraulic fracture in a state of plane strain. Special blended cubic Hermite-power-law basis functions, with arbitrary index 0

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