A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations - Info and Reading Options
By Marc Alexander Schweitzer
"A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations" is published by Springer in April 10, 2003, it has 194 pages and the language of the book is English.
“A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations” Metadata:
- Title: ➤ A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations
- Author: Marc Alexander Schweitzer
- Language: English
- Number of Pages: 194
- Publisher: Springer
- Publish Date: April 10, 2003
“A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations” Subjects and Themes:
- Subjects: ➤ Numerical solutions - Elliptic Differential equations - Partition of unity method - Data processing - Differential equations, elliptic - Partitions (mathematics) - Partial Differential equations - Mathematics - Differential equations, partial - Computer science - Engineering mathematics - Computational Mathematics and Numerical Analysis - Numerical and Computational Physics - Appl.Mathematics/Computational Methods of Engineering
Edition Specifications:
- Format: Paperback
- Weight: 5.6 ounces
- Dimensions: 9.2 x 6.1 x 0.4 inches
Edition Identifiers:
- The Open Library ID: OL9053768M - OL9074354W
- Online Computer Library Center (OCLC) ID: 51478069
- Library of Congress Control Number (LCCN): 2003041240
- ISBN-13: 9783540003519
- ISBN-10: 3540003517
- All ISBNs: 3540003517 - 9783540003519
AI-generated Review of “A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations”:
"A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations" Description:
The Open Library:
The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. Up to now, however, meshfree methods have been in an early experimental stage and were not competitive due to the lack of efficient iterative solvers and numerical quadrature. This volume now presents an efficient parallel implementation of a meshfree method, namely the partition of unity method (PUM). A general numerical integration scheme is presented for the efficient assembly of the stiffness matrix as well as an optimal multilevel solver for the arising linear system. Furthermore, detailed information on the parallel implementation of the method on distributed memory computers is provided and numerical results are presented in two and three space dimensions with linear, higher order and augmented approximation spaces with up to 42 million degrees of freedom.
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