Meshing, Geometric Modeling and Numerical Simulation 1: Form Functions, Triangulations and Geometric Modeling » książka
Meshing, Geometric Modeling and Numerical Simulation 1: Form Functions, Triangulations and Geometric Modeling
ISBN-13: 9781786300386 / Angielski / Twarda / 2017 / 384 str.
Meshing, Geometric Modeling and Numerical Simulation 1: Form Functions, Triangulations and Geometric Modeling
ISBN-13: 9781786300386 / Angielski / Twarda / 2017 / 384 str.
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This book (composed of 2 volumes) introduces the notions and concepts at the basis of geometric modeling problems, triangulation and mesh in the application framework numerical simulations. First, the basic geometric elements, seen as interpolating from Lagrange or Bezier, are described. Then various problems related to triangulations and geometric modeling are addressed, in order to go from a continuous model to a discrete model and vice versa. The notion of metric is introduced and discussed, metrics being the natural way to assess the quality of geometric elements and triangulations as well as the precision of interpolating. Triangulation and metric make it possible to define the concept of mesh. The methods of construction and mesh optimization are discussed before addressing the issue of adaptation mesh and its application in numerical simulations. Some useful formulas and algorithms supplement and illustrate the methodologies introduced.
