{"product_id":"partial-differential-equations-and-the-finite-element-method-9780471720706","title":"Partial Differential Equations and the Finite Element Method","description":"A systematic introduction to partial differential\u003cbr\u003e \u003cbr\u003e equations and modern finite element methods for their efficient numerical solution\u003cbr\u003e \u003cbr\u003e 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.\u003cbr\u003e \u003cbr\u003e 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.\u003cbr\u003e \u003cbr\u003e 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.\u003cbr\u003e \u003cbr\u003e 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.\u003cbr\u003e \u003cbr\u003e 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Pavel Ŝolín\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley-Interscience\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/01\/2005\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 504\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.56h x 6.28w x 1.08d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780471720706\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 07\/01\/2006 pg. 2029\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003ePAVEL SOLÍN, PhD, is Associate Professor in the Department of Mathematical Sciences at The University of Texas at El Paso. Prior to this appointment, Dr. Solin was a postdoctoral research associate at the Johannes Kepler University (Linz, Austria), The University of Texas at Austin, and Rice University (Houston, Texas). He received his PhD from the Charles University in Prague, Czech Republic, in 1999. Dr. Sol?n is a coauthor of the monograph Higher-Order Finite Element Methods.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis title is not returnable\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Wiley-Interscience","offers":[{"title":"Hardcover","offer_id":40008447426675,"sku":"9.78047E+12","price":157.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_68b7bc47-5b57-4070-80ea-26df1d9d66f7.jpg?v=1650386370","url":"https:\/\/bookstorenmore.com\/en-de\/products\/partial-differential-equations-and-the-finite-element-method-9780471720706","provider":"Bookstore N More","version":"1.0","type":"link"}