An Approximate Inverse Preconditioner for Saddle Point Problems Applied to Groundwater Flow

An Approximate Inverse Preconditioner for Saddle Point Problems Applied to Groundwater Flow PDF Author: Che G. Ngufor
Publisher:
ISBN:
Category : Groundwater flow
Languages : en
Pages : 110

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An Approximate Inverse Preconditioner for Saddle Point Problems Applied to Groundwater Flow

An Approximate Inverse Preconditioner for Saddle Point Problems Applied to Groundwater Flow PDF Author: Che G. Ngufor
Publisher:
ISBN:
Category : Groundwater flow
Languages : en
Pages : 110

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Book Description


Seawater Intrusion in Coastal Aquifers

Seawater Intrusion in Coastal Aquifers PDF Author: Jacob Bear
Publisher: Springer Science & Business Media
ISBN: 9401729697
Category : Science
Languages : en
Pages : 652

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Book Description
Coastal aquifers serve as major sources for freshwater supply in many countries around the world, especially in arid and semi-arid zones. Many coastal areas are also heavily urbanized, a fact that makes the need for freshwater even more acute. Coastal aquifers are highly sensitive to disturbances. Inappropriate management of a coastal aquifer may lead to its destruction as a source for freshwater much earlier than other aquifers which are not connected to the sea. The reason is the threat of seawater intrusion. In many coastal aquifers, intrusion of seawater has become one of the major constraints imposed on groundwater utilization. As sea water intrusion progresses, existing pumping wells, especially those close to the coast, become saline and have to be abandoned. Also, the area above the intruding seawater wedge is lost as a source of natural replenishment to the aquifer. Despite the importance of this subject, so far there does not exist a book that integrates our present knowledge of seawater intrusion, its occurrences, physical mechanism, chemistry, exploration by geo physical and geochemical techniques, conceptual and mathematical modeling, analytical and numerical solution methods, engineering measures of combating seawater intrusion, management strategies, and experience learned from case studies. By presenting this fairly comprehensive volume on the state-of-the-art of knowledge and ex perience on saltwater intrusion, we hoped to transfer this body of knowledge to the geologists, hydrologists, hydraulic engineers, water resources planners, managers, and governmental policy makers, who are engaged in the sustainable development of coastal fresh ground water resources.

Regularization of Inverse Problems

Regularization of Inverse Problems PDF Author: Heinz Werner Engl
Publisher: Springer Science & Business Media
ISBN: 9780792361404
Category : Mathematics
Languages : en
Pages : 340

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Book Description
This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Certified Reduced Basis Methods for Parametrized Partial Differential Equations PDF Author: Jan S Hesthaven
Publisher: Springer
ISBN: 3319224700
Category : Mathematics
Languages : en
Pages : 139

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Book Description
This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

Numerical Analysis

Numerical Analysis PDF Author: James M. Ortega
Publisher: SIAM
ISBN: 9781611971323
Category : Mathematics
Languages : en
Pages : 214

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Book Description
This book addresses some of the basic questions in numerical analysis: convergence theorems for iterative methods for both linear and nonlinear equations; discretization error, especially for ordinary differential equations; rounding error analysis; sensitivity of eigenvalues; and solutions of linear equations with respect to changes in the data.

Polynomial Based Iteration Methods for Symmetric Linear Systems

Polynomial Based Iteration Methods for Symmetric Linear Systems PDF Author: Bernd Fischer
Publisher: SIAM
ISBN: 1611971918
Category : Mathematics
Languages : en
Pages : 284

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Book Description
Originally published: Chichester; New York: Wiley; Stuttgart: Teubner, c1996.

Preconditioned Conjugate-Gradient 2 (PCG2), a Computer Program for Solving Ground-water Flow Equations

Preconditioned Conjugate-Gradient 2 (PCG2), a Computer Program for Solving Ground-water Flow Equations PDF Author: Mary Catherine Hill
Publisher:
ISBN:
Category : Groundwater
Languages : en
Pages : 54

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Book Description


Least-Squares Finite Element Methods

Least-Squares Finite Element Methods PDF Author: Pavel B. Bochev
Publisher: Springer Science & Business Media
ISBN: 0387689222
Category : Mathematics
Languages : en
Pages : 669

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Book Description
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.

Strongly Elliptic Systems and Boundary Integral Equations

Strongly Elliptic Systems and Boundary Integral Equations PDF Author: William Charles Hector McLean
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376

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Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.

Model Reduction of Parametrized Systems

Model Reduction of Parametrized Systems PDF Author: Peter Benner
Publisher: Springer
ISBN: 3319587862
Category : Mathematics
Languages : en
Pages : 503

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Book Description
The special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition, proper generalized decomposition, approximation theory related to model reduction, learning theory and compressed sensing, stochastic and high-dimensional problems, system-theoretic methods, nonlinear model reduction, reduction of coupled problems/multiphysics, optimization and optimal control, state estimation and control, reduced order models and domain decomposition methods, Krylov-subspace and interpolatory methods, and applications to real industrial and complex problems. The book represents the state of the art in the development of reduced order methods. It contains contributions from internationally respected experts, guaranteeing a wide range of expertise and topics. Further, it reflects an important effor t, carried out over the last 12 years, to build a growing research community in this field. Though not a textbook, some of the chapters can be used as reference materials or lecture notes for classes and tutorials (doctoral schools, master classes).