130 citations · 994 across the 42 of their papers we have counts for
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Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming
Bastian Harrach
Several applications in medical imaging and non-destructive material testing lead to inverse elliptic coefficient problems, where an unknown coefficient function in an elliptic PDE…
Monotonicity-Based Regularization for Shape Reconstruction in Linear Elasticity
Sarah Eberle, Bastian Harrach
We deal with the shape reconstruction of inclusions in elastic bodies. For solving this inverse problem in practice, data fitting functionals are used. Those work better than the r…
An introduction to finite element methods for inverse coefficient problems in elliptic PDEs
Bastian Harrach
Several novel imaging and non-destructive testing technologies are based on reconstructing the spatially dependent coefficient in an elliptic partial differential equation from mea…
Multilevel Monte Carlo learning
Thomas Gerstner, Bastian Harrach, Daniel Roth +1
In this work, we study the approximation of expected values of functional quantities on the solution of a stochastic differential equation (SDE), where we replace the Monte Carlo e…