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Explicit Local Time-Stepping for the Inhomogeneous Wave Equation with Optimal Convergence
Marcus J. Grote, Simon R. J. Michel, Stefan A. Sauter
Adaptivity and local mesh refinement are crucial for the efficient numerical simulation of wave phenomena in complex geometry. Local mesh refinement, however, can impose a tiny tim…
A controllability method for Maxwell's equations
T. Chaumont-Frelet, M. J. Grote, S. Lanteri +1
We propose a controllability method for the numerical solution of time-harmonic Maxwell's equations in their first-order formulation. By minimizing a quadratic cost functional, whi…
Adaptive spectral decompositions for inverse medium problems
Daniel H. Baffet, Marcus J. Grote, Jet Hoe Tang
Inverse medium problems involve the reconstruction of a spatially varying unknown medium from available observations by exploring a restricted search space of possible solutions. S…