This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer. First, all mathematical equations needed to model these processes are presented. Due to their flexibility, meshfree methods represent optimal computational sol…
In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogethe…
"This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. First it provides the fundamentals of numerical analysis that are particularly impo…
"This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. First it provides the fundamentals of numerical analysis that are particularly impo…
"This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. First it provides the fundamentals of numerical analysis that are particularly impo…
"This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. First it provides the fundamentals of numerical analysis that are particularly impo…
Robuste et bien développé pour l'analyse des contraintes, la méthode des éléments finis est actuellement utilisé pour résoudre la plupart des problèmes d'ingénierie liés à des solides et des structures. Cependant, les limites de cette méthode sont de plus en plus évident, et une…
Meshfree methods, particle methods, and generalized finite element methods have℗ℓwitnessed℗ℓsubstantial development since the mid 1990s. The growing interest in these methods is℗ℓdue℗ℓin part to the fact that they are extremely℗ℓflexible numerical tools and can be interpreted in…
"Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models ar…
When students once master the concepts of the finite element method (and meshing), it's not long before they begin to look at other numerical techniques and applications, especially the boundary element and meshless methods (since a mesh is not required). The expert authors of t…
