Mathematical and Analytical Techniques with Applications to Engineering
1 total work
The Fast Solution of Boundary Integral Equations
by Sergej Rjasanow and Olaf Steinbach
Published 1 January 2007
This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation. All the necessary related stability and error estimates are derived. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given.