Compact gradient tracking in shape optimization
Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations
Compact gradient tracking in shape optimization
Computational Optimization and Applications
Tracking Neumann Data for Stationary Free Boundary Problems
SIAM Journal on Control and Optimization
Wavelet Galerkin Schemes for Multidimensional Anisotropic Integrodifferential Operators
SIAM Journal on Scientific Computing
On a Galerkin boundary node method for potential problems
Advances in Engineering Software
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In the present paper we consider the fully discrete wavelet Galerkin scheme for the fast solution of boundary integral equations in three dimensions. It produces approximate solutions within discretization error accuracy offered by the underlying Galerkin method at a computational expense that stays proportional to the number of unknowns. We focus on algorithmical details of the scheme, in particular on numerical integration of relevant matrix coefficients. We illustrate the proposed algorithm by numerical results.