Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview

Over the past few decades, there has been substantial interest in evolution equations that involve a fractional-order derivative of order α∈(0,1) in time, commonly known as subdiffusion, due to their many successful applications in engineering, physics, biology and finance. Thus, it is of paramount...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 346; pp. 332 - 358
Main Authors:	Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.04.2019 Elsevier BV
Subjects:	Computer simulation Convolution Error estimates Evolution Finite element method Formulations Galerkin method Inverse problems Mathematical analysis Mathematical models Nonsmooth solution Numerical analysis Numerical methods Optimal control Space–time formulation Time-fractional evolution Time-stepping Finite element method Time-stepping Nonsmooth solution Space–time formulation Error estimates Time-fractional evolution
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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