Boundary element based multiresolution shape optimisation in electrostatics

• Published in: Journal of computational physics Vol. 297; pp. 584 - 598
• Main Authors: Bandara, Kosala, Cirak, Fehmi, Of, Günther, Steinbach, Olaf, Zapletal, Jan
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.09.2015
• Subjects: Boundary element method; Electrostatic fields; Mathematical analysis; Multiresolution analysis; Optimization; Oscillations; Robustness; Shape derivative; Shape optimisation; Smoothing; Subdivision surfaces; Subdivisions; Shape optimisation; Shape derivative; Subdivision surfaces; Boundary element method; Multiresolution analysis

We consider the shape optimisation of high-voltage devices subject to electrostatic field equations by combining fast boundary elements with multiresolution subdivision surfaces. The geometry of the domain is described with subdivision surfaces and different resolutions of the same geometry are used...