Pavel Solin's Books

Integral Methods in Low-Frequency Electromagnetics

By: Pavel Solin,Ivo Dolezel,Pavel Karban,Bohus Ulrych

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Integral Methods in Low-Frequency Electromagnetics

By: Pavel Solin,Ivo Dolezel,Pavel Karban,Bohus Ulrych

A modern presentation of integral methods in low-frequency electromagnetics This book provides state-of-the-art knowledge on integral methods in low-frequency electromagnetics. Blending theory with numerous examples, it introduces key aspects of the integral methods used in engineering as a powerful alternative to PDE-based models. Readers will get complete coverage of: The electromagnetic field and its basic characteristics An overview of solution methods Solutions of electromagnetic fields by integral expressions Integral and integrodifferential methods Indirect solutions of electromagnetic fields by the boundary element method Integral equations in the solution of selected coupled problems Numerical methods for integral equations All computations presented in the book are done by means of the authors' own codes, and a significant amount of their own results is included. At the book's end, they also discuss novel integral techniques of a higher order of accuracy, which are representative of the future of this rapidly advancing field. Integral Methods in Low-Frequency Electromagnetics is of immense interest to members of the electrical engineering and applied mathematics communities, ranging from graduate students and PhD candidates to researchers in academia and practitioners in industry.

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Page Count

418

Publisher

John Wiley & Sons

Published Date

ISBN 10

047050272X

ISBN 13

9780470502723

Higher-Order Finite Element Methods

By: Pavel Solin,Karel Segeth,Ivo Dolezel

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Higher-Order Finite Element Methods

By: Pavel Solin,Karel Segeth,Ivo Dolezel

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404

Publisher

CRC Press

Published Date

ISBN 10

0203488040

ISBN 13

9780203488041

Partial Differential Equations and the Finite Element Method

By: Pavel Ŝolín

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Partial Differential Equations and the Finite Element Method

By: Pavel Ŝolín

A systematic introduction to partial differential equations and modern finite element methods for their efficient numerical solution Partial Differential Equations and the Finite Element Method provides a much-needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and finite element methods (FEM). Both nodal and hierachic concepts of the FEM are examined. Reflecting the growing complexity and multiscale nature of current engineering and scientific problems, the author emphasizes higher-order finite element methods such as the spectral or hp-FEM. A solid introduction to the theory of PDEs and FEM contained in Chapters 1-4 serves as the core and foundation of the publication. Chapter 5 is devoted to modern higher-order methods for the numerical solution of ordinary differential equations (ODEs) that arise in the semidiscretization of time-dependent PDEs by the Method of Lines (MOL). Chapter 6 discusses fourth-order PDEs rooted in the bending of elastic beams and plates and approximates their solution by means of higher-order Hermite and Argyris elements. Finally, Chapter 7 introduces the reader to various PDEs governing computational electromagnetics and describes their finite element approximation, including modern higher-order edge elements for Maxwell's equations. The understanding of many theoretical and practical aspects of both PDEs and FEM requires a solid knowledge of linear algebra and elementary functional analysis, such as functions and linear operators in the Lebesgue, Hilbert, and Sobolev spaces. These topics are discussed with the help of many illustrative examples in Appendix A, which is provided as a service for those readers who need to gain the necessary background or require a refresher tutorial. Appendix B presents several finite element computations rooted in practical engineering problems and demonstrates the benefits of using higher-order FEM. Numerous finite element algorithms are written out in detail alongside implementation discussions. Exercises, including many that involve programming the FEM, are designed to assist the reader in solving typical problems in engineering and science. Specifically designed as a coursebook, this student-tested publication is geared to upper-level undergraduates and graduate students in all disciplines of computational engineeringand science. It is also a practical problem-solving reference for researchers, engineers, and physicists.

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Page Count

505

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471764094

ISBN 13

9780471764090

Quasilinear Elliptic Equations with Degenerations and Singularities

By: Pavel Drábek,Alois Kufner,Francesco Nicolosi

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Quasilinear Elliptic Equations with Degenerations and Singularities

By: Pavel Drábek,Alois Kufner,Francesco Nicolosi

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.

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Page Count

233

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110804778

ISBN 13

9783110804775

Integral Methods in Low-Frequency Electromagnetics

By: Pavel Solin,Ivo Dolezel,Pavel Karban,Bohus Ulrych

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Integral Methods in Low-Frequency Electromagnetics

By: Pavel Solin,Ivo Dolezel,Pavel Karban,Bohus Ulrych

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Page Count

418

Publisher

John Wiley & Sons

Published Date

ISBN 10

047050272X

ISBN 13

9780470502723

Higher-Order Finite Element Methods

By: Pavel Solin,Karel Segeth,Ivo Dolezel

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Higher-Order Finite Element Methods

By: Pavel Solin,Karel Segeth,Ivo Dolezel

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Page Count

404

Publisher

CRC Press

Published Date

ISBN 10

0203488040

ISBN 13

9780203488041

Higher-Order Finite Element Methods

By: Pavel Solin,Karel Segeth,Ivo Dolezel

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Higher-Order Finite Element Methods

By: Pavel Solin,Karel Segeth,Ivo Dolezel

The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and satisfy the overall trend of simultaneous resolution of phenomena with multiple scales. Higher-Order Finite Element Methods provides an thorough survey of intrinsic techniques and the practical know-how needed to implement higher-order finite element schemes. It presents the basic priniciples of higher-order finite element methods and the technology of conforming discretizations based on hierarchic elements in spaces H^1, H(curl) and H(div). The final chapter provides an example of an efficient and robust strategy for automatic goal-oriented hp-adaptivity. Although it will still take some time for fully automatic hp-adaptive finite element methods to become standard engineering tools, their advantages are clear. In straightforward prose that avoids mathematical jargon whenever possible, this book paves the way for fully realizing the potential of these techniques and putting them at the disposal of practicing engineers.

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Page Count

408

Publisher

Chapman and Hall/CRC

Published Date

ISBN 10

158488438X

ISBN 13

9781584884385

Partial Differential Equations and the Finite Element Method

By: Pavel Ŝolín

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Partial Differential Equations and the Finite Element Method

By: Pavel Ŝolín

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Solve jigsaw puzzle

Age

Page Count

505

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471764094

ISBN 13

9780471764090

Book's by Pavel Solin

Integral Methods in Low-Frequency Electromagnetics

Integral Methods in Low-Frequency Electromagnetics

Higher-Order Finite Element Methods

Higher-Order Finite Element Methods

Partial Differential Equations and the Finite Element Method

Partial Differential Equations and the Finite Element Method

Quasilinear Elliptic Equations with Degenerations and Singularities

Quasilinear Elliptic Equations with Degenerations and Singularities

Integral Methods in Low-Frequency Electromagnetics

Integral Methods in Low-Frequency Electromagnetics

Higher-Order Finite Element Methods

Higher-Order Finite Element Methods

Higher-Order Finite Element Methods

Higher-Order Finite Element Methods

Partial Differential Equations and the Finite Element Method

Partial Differential Equations and the Finite Element Method

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