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Variational Methods for Numerical Solution of Nonlinear Elliptic Problems

Glowinski Roland
Heftet / 2015 / Engelsk

Produktdetaljer

ISBN
9781611973778
Publisert
2015-10-30
Utgiver
Society for Industrial & Applied Mathematics,U.S.
Vekt
947 gr
Høyde
229 mm
Bredde
152 mm
Aldersnivå
UP, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
481

Forfatter
Glowinski Roland

Biografisk notat

Roland Glowinski is Cullen Professor of Mathematics at the University of Houston and an Emeritus Professor of the Université Pierre et Marie Curie (Paris VI). He is a member of the French National Academy of Sciences, the French National Academy of Technology, and the Academia Europaea. He is also a Fellow of both SIAM and the AMS and past recipient of the Theodore von Kármán Prize for the notable application of mathematics to mechanics and/or the engineering sciences.

Variational Methods for Numerical Solution of Nonlinear Elliptic Problems

Glowinski Roland
Heftet / 2015 / Engelsk
Glowinski Roland
Heftet / 2015 / Engelsk
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Addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics.

This book differs from others on the topic by:
  • Presenting examples of the power and versatility of operator-splitting methods.
  • Providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering.
  • Showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems.
    Les mer
    Differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods, and providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering.
    Les mer
    • Preface
    • Chapter 1: On some variational problems in Hilbert spaces
    • Chapter 2: Iterative methods in Hilbert spaces
    • Chapter 3: Operator-splitting and alternating direction methods
    • Chapter 4: Augmented Lagrangians and alternating direction methods of multipliers
    • Chapter 5: Least-squares solution of linear and nonlinear problems in Hilbert spaces
    • Chapter 6: Obstacle problems and Bingham flow application to control
    • Chapter 7: Other nonlinear eigenvalue problems
    • Chapter 8: Eikonal equations
    • Chapter 9: Fully nonlinear elliptic problems
    • Epilogue
    • Bibliography
    • Author index
    • Subject index
      Les mer
      A detailed insight into computational methods for efficient solution of nonlinear elliptic problems, for advanced graduates and researchers.

      Relaterte produkter

      Addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics.

      This book differs from others on the topic by:
      • Presenting examples of the power and versatility of operator-splitting methods.
      • Providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering.
      • Showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems.
        Les mer
        Differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods, and providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering.
        Les mer
        • Preface
        • Chapter 1: On some variational problems in Hilbert spaces
        • Chapter 2: Iterative methods in Hilbert spaces
        • Chapter 3: Operator-splitting and alternating direction methods
        • Chapter 4: Augmented Lagrangians and alternating direction methods of multipliers
        • Chapter 5: Least-squares solution of linear and nonlinear problems in Hilbert spaces
        • Chapter 6: Obstacle problems and Bingham flow application to control
        • Chapter 7: Other nonlinear eigenvalue problems
        • Chapter 8: Eikonal equations
        • Chapter 9: Fully nonlinear elliptic problems
        • Epilogue
        • Bibliography
        • Author index
        • Subject index
          Les mer
          A detailed insight into computational methods for efficient solution of nonlinear elliptic problems, for advanced graduates and researchers.

          Produktdetaljer

          ISBN
          9781611973778
          Publisert
          2015-10-30
          Utgiver
          Society for Industrial & Applied Mathematics,U.S.
          Vekt
          947 gr
          Høyde
          229 mm
          Bredde
          152 mm
          Aldersnivå
          UP, P, 05, 06
          Språk
          Product language
          Engelsk
          Format
          Product format
          Heftet
          Antall sider
          481

          Forfatter
          Glowinski Roland

          Biografisk notat

          Roland Glowinski is Cullen Professor of Mathematics at the University of Houston and an Emeritus Professor of the Université Pierre et Marie Curie (Paris VI). He is a member of the French National Academy of Sciences, the French National Academy of Technology, and the Academia Europaea. He is also a Fellow of both SIAM and the AMS and past recipient of the Theodore von Kármán Prize for the notable application of mathematics to mechanics and/or the engineering sciences.

          Relaterte produkter