Francisco J. Sayas's Books

Variational Techniques for Elliptic Partial Differential Equations

Theoretical Tools and Advanced Applications

By: Francisco J. Sayas,Thomas S. Brown,Matthew E. Hassell

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Variational Techniques for Elliptic Partial Differential Equations

Theoretical Tools and Advanced Applications

By: Francisco J. Sayas,Thomas S. Brown,Matthew E. Hassell

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations. Beginning with the necessary definitions and theorems from distribution theory, the book gradually builds the functional analytic framework for studying elliptic PDE using variational formulations. Rather than introducing all of the prerequisites in the first chapters, it is the introduction of new problems which motivates the development of the associated analytical tools. In this way the student who is encountering this material for the first time will be aware of exactly what theory is needed, and for which problems. Features A detailed and rigorous development of the theory of Sobolev spaces on Lipschitz domains, including the trace operator and the normal component of vector fields An integration of functional analysis concepts involving Hilbert spaces and the problems which can be solved with these concepts, rather than separating the two Introduction to the analytical tools needed for physical problems of interest like time-harmonic waves, Stokes and Darcy flow, surface differential equations, Maxwell cavity problems, etc. A variety of problems which serve to reinforce and expand upon the material in each chapter, including applications in fluid and solid mechanics

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Page Count

553

Publisher

CRC Press

Published Date

ISBN 10

0429016190

ISBN 13

9780429016196

Green Extraction and Valorization of By-Products from Food Processing

By: Francisco J. Barba,Elena Rosello Soto,Mladen Brncic,Jose Manuel Lorenzo Rodriquez

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Green Extraction and Valorization of By-Products from Food Processing

By: Francisco J. Barba,Elena Rosello Soto,Mladen Brncic,Jose Manuel Lorenzo Rodriquez

Generating of agricultural wastes and by-products during the production, processing and consumption of agricultural commodities is unavoidable and over the last decades, an increased public interest has been shown in the challenge of food wastage. Apart from its significant quantities, the physicochemical characteristics of the various agricultural waste and by-products denote that there is immense potential for their reuse, recycle, and valorisation through various different processes. Green Extraction and Valorization of By-Products from Food Processing provides an overview about the valorization or reuse of agricultural wastes and by-products during the production, processing and consumption of agricultural commodities. Waste disposal and by-product management in food processing industry pose problems in the areas of environmental protection and sustainability. However, they could be a great source of valuable nutraceuticals, which can be used to deal with the prospects of feeding fast growing population in 21st century. Features: Gives detailed guidance and presents case-studies about valorization of food wastes and by-products Shows the main conventional and innovative extraction techniques for food waste and by-products valorization Provides an estimated idea regarding the recovery of high-added value compounds Discusses the recovery of high-added value compounds Perspectives originated from the enormous amounts of food related materials that are discharged worldwide and the existing technologies, which promise the recovery, recycling and sustainability of high-added value ingredients inside food chain will be discussed in this book. This book is of value to academics, research institutes, and food industry engineers particularly the research and development professionals who are looking for effective management and utilization of food processing wastes and byproducts. In addition, it is suitable for undergraduate, post- graduate students, research scholars, postdoctoral fellows and faculty members from universities and colleges who pursue academic careers in Food Technology, Food Biotechnology, Fermentation and Bioengineering, Bioprocess Technology, Food science and Technology.

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Page Count

366

Publisher

CRC Press

Published Date

ISBN 10

1000546845

ISBN 13

9781000546842

An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method

Projections, Estimates, Tools

By: Shukai Du,Francisco-Javier Sayas

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An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method

Projections, Estimates, Tools

By: Shukai Du,Francisco-Javier Sayas

This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) are carefully introduced before being used, so that the reader does not need to go over longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The intended audience includes graduate students in computational mathematics, physics, and engineering, since the prerequisites are quite basic for a second year graduate student who has already taken a non necessarily advanced class in the Finite Element method.

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Page Count

131

Publisher

Springer Nature

Published Date

ISBN 10

3030272303

ISBN 13

9783030272302

Retarded Potentials and Time Domain Boundary Integral Equations

A Road Map

By: Francisco-Javier Sayas

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Retarded Potentials and Time Domain Boundary Integral Equations

A Road Map

By: Francisco-Javier Sayas

This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.

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Page Count

251

Publisher

Springer

Published Date

ISBN 10

3319266454

ISBN 13

9783319266459

Integral Equation Methods for Evolutionary PDE

A Convolution Quadrature Approach

By: Lehel Banjai,Francisco-Javier Sayas

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Integral Equation Methods for Evolutionary PDE

A Convolution Quadrature Approach

By: Lehel Banjai,Francisco-Javier Sayas

This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method. Properties of convolution quadrature, based on both linear multistep and Runge–Kutta methods, are explained in detail, always with wave propagation problems in mind. Main algorithms for implementing the discrete schemes are described and illustrated by short Matlab codes; translation to other languages can be found on the accompanying GitHub page. The codes are used to present numerous numerical examples to give the reader a feeling for the qualitative behaviour of the discrete schemes in practice. Applications to acoustic and electromagnetic scattering are described with an emphasis on the acoustic case where the fully discrete schemes for sound-soft and sound-hard scattering are developed and analysed in detail. A strength of the book is that more advanced applications such as linear and non-linear impedance boundary conditions and FEM/BEM coupling are also covered. While the focus is on wave scattering, a chapter on parabolic problems is included which also covers the relevant fast and oblivious algorithms. Finally, a brief description of data sparse techniques and modified convolution quadrature methods completes the book. Suitable for graduate students and above, this book is essentially self-contained, with background in mathematical analysis listed in the appendix along with other useful facts. Although not strictly necessary, some familiarity with boundary integral equations for steady state problems is desirable.

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Page Count

283

Publisher

Springer Nature

Published Date

ISBN 10

3031132203

ISBN 13

9783031132209

Book's by Francisco J. Sayas

Variational Techniques for Elliptic Partial Differential Equations

Variational Techniques for Elliptic Partial Differential Equations

Green Extraction and Valorization of By-Products from Food Processing

Green Extraction and Valorization of By-Products from Food Processing

An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method

An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method

Retarded Potentials and Time Domain Boundary Integral Equations

Retarded Potentials and Time Domain Boundary Integral Equations

Integral Equation Methods for Evolutionary PDE

Integral Equation Methods for Evolutionary PDE

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