On B.G. Galerkin's Method for the Solution of Boundary Value Problems PDF Download
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Author: Mstislav Vsevolodovich Keldysh
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 64
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Author: Mstislav Vsevolodovich Keldysh
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 64
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Author: United States. National Aeronautics and Space Administration
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Mstislav Vsevolodovich Keldysh
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 56
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Author: William Slayton LaCounte
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 110
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Author: Paul Shuleshko
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 62
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Author: V. P. Shmakov
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Book Description
The author presents a procedure which makes it possible to use the Bubnov-Galerkin method in the solution of boundary value problems for ordinary differential and integrodifferential equations when the coordinate system of the functions does not satisfy the boundary conditions. As an example, the author investigates a plate on an elastic base interacting with a fluid, as well as the problem of the vibration of a closed spherical shell filled with fluid. The procedure is described in detail and the findings are compared with other data.
Author: Joachim Gwinner
Publisher: Springer
ISBN: 3319920014
Category : Mathematics
Languages : en
Pages : 661
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Book Description
This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
Author: Karan S. Surana
Publisher: CRC Press
ISBN: 1498780512
Category : Science
Languages : en
Pages : 824
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Book Description
Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.
Author: Lihua Xie
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 76
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Author: William LeRoy Sanders
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 114
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