
Geometric Partial Differential Equations - Part I: Volume 21
North-Holland (Publisher)
Published on 20. January 2020
Book
Hardback
710 pages
978-0-444-64003-1 (ISBN)
Description
Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering.
More details
Series
Language
English
Place of publication
United States
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
The targeted audience is mathematically trained research scientists and engineers with basic knowledge in partial differential equations and their numerical approximations.
Product notice
Laminated cover
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 38 mm
Weight
1114 gr
ISBN-13
978-0-444-64003-1 (9780444640031)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
01/2020
Elsevier
€165.00
Available for download
Persons
Andrea Bonito is professor in the Department of Mathematics at Texas A&M University.
Together with Ricardo H. Nochetto they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems. Ricardo H. Nochetto is professor in the Department of Mathematics and the Institute for Physical Science and Technology at the University of Maryland, College Park.
Together with Andrea Bonito they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.
Together with Ricardo H. Nochetto they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems. Ricardo H. Nochetto is professor in the Department of Mathematics and the Institute for Physical Science and Technology at the University of Maryland, College Park.
Together with Andrea Bonito they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.
Volume editor
Professor, Department of Mathematics, Texas A&M University, USA
Professor, Department of Mathematics and the Institute for Physical Science and Technology, Institute for Physical Science and Technology, University of Maryland, USA
Content
1. Finite element methods for the Laplace-Beltrami operator
Andrea Bonito, Alan Demlow and Ricardo H. Nochetto
2. The Monge-Ampere equation
Michael Neilan, Abner J. Salgado and Wujun Zhang
3. Finite element simulation of nonlinear bending models for thin elastic rods and plates
Soeren Bartels
4. Parametric finite element approximations of curvature-driven interface evolutions
John W. Barrett, Harald Garcke and Robert Nuernberg
5. The phase field method for geometric moving interfaces and their numerical approximations
Qiang Du and Xiaobing Feng
6. A review of level set methods to model interfaces moving under complex physics: Recent challenges and advances
Robert I. Saye and James A. Sethian
7. Free boundary problems in fluids and materials
Eberhard Baensch and Alfred Schmidt
8. Discrete Riemannian calculus on shell space
Behrend Heeren, Martin Rumpf, Max Wardetzky and Benedikt Wirth
Andrea Bonito, Alan Demlow and Ricardo H. Nochetto
2. The Monge-Ampere equation
Michael Neilan, Abner J. Salgado and Wujun Zhang
3. Finite element simulation of nonlinear bending models for thin elastic rods and plates
Soeren Bartels
4. Parametric finite element approximations of curvature-driven interface evolutions
John W. Barrett, Harald Garcke and Robert Nuernberg
5. The phase field method for geometric moving interfaces and their numerical approximations
Qiang Du and Xiaobing Feng
6. A review of level set methods to model interfaces moving under complex physics: Recent challenges and advances
Robert I. Saye and James A. Sethian
7. Free boundary problems in fluids and materials
Eberhard Baensch and Alfred Schmidt
8. Discrete Riemannian calculus on shell space
Behrend Heeren, Martin Rumpf, Max Wardetzky and Benedikt Wirth