More Books:

A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations
Language: en
Pages: 200
Authors: Marc Alexander Schweitzer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

the solution or its gradient. These new discretization techniques are promising approaches to overcome the severe problem of mesh-generation. Furthermore, the easy coupling of meshfree discretizations of continuous phenomena to dis crete particle models and the straightforward Lagrangian treatment of PDEs via these techniques make them very interesting from a
Partition of Unity Methods
Language: en
Pages: 300
Authors: St├ęphane Bordas, Alexander Menk
Categories: Technology & Engineering
Type: BOOK - Published: 2023-04-17 - Publisher: Wiley

First book to offer a guide to the foundations of the XFEM and its implementation A revolution similar to that initiated by the FEM is taking place through the XFEM, which is already implemented in leading commercial packages (ABAQUS, ANSYS, etc.) that are taught at undergraduate and post-graduate levels and
Meshfree Approximation Methods with MATLAB
Language: en
Pages: 500
Authors: Gregory E. Fasshauer
Categories: Technology & Engineering
Type: BOOK - Published: 2007 - Publisher: World Scientific

Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations.
The Partition of Unity Finite Element Method
Language: en
Pages: 38
Authors: Gregory E. Fasshauer
Categories: Technology & Engineering
Type: BOOK - Published: 1995 - Publisher:

A new finite element method is presented that features the ability to include in the finite element space knowledge about the partial differential equation being solved. This new method can therefore be more efficient than the usual finite element methods. An additional feature of the partition-of-unity finite element method is
Meshfree Methods for Partial Differential Equations VIII
Language: en
Pages: 240
Authors: Michael Griebel, Marc Alexander Schweitzer
Categories: Computers
Type: BOOK - Published: 2017-04-05 - Publisher: Springer

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance,