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• Comparison of finite element and discrete exterior calculus in computation of time-harmonic wave propagation with controllability 

  Saksa, Tytti (Elsevier, 2025)

  This paper discusses computation of time-harmonic wave problems using a mixed formulation and the controllability method introduced by Roland Glowinski. As an example, a scattering problem (in an exterior domain) is ...

• Time-harmonic electromagnetics with exact controllability and discrete exterior calculus 

  Mönkölä, Sanna; Räbinä, Jukka; Rossi, Tuomo (Academie des Sciences, 2023)

  In this paper, we apply the exact controllability concept for time-harmonic electromagnetic scattering. The problem is presented in terms of the differential forms, and the discrete exterior calculus is utilized for spatial ...

• Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus 

  Lohi, Jonni (Springer, 2022)

  We present a systematic way to implement higher order Whitney forms in numerical methods based on discrete exterior calculus. Given a simplicial mesh, we first refine the mesh into smaller simplices which can be used to ...

• (2+1)-dimensional discrete exterior discretization of a general wave model in Minkowski spacetime 

  Mönkölä, Sanna; Räbinä, Jukka; Saksa, Tytti; Rossi, Tuomo (Elsevier, 2025)

  We present a differential geometry-based model for linear wave equations in -dimensional spacetime. This model encompasses acoustic, elastic, and electromagnetic waves and is also applicable in quantum mechanical simulations. ...

• Discrete exterior calculus for photonic crystal waveguides 

  Mönkölä, Sanna; Räty, Joona (John Wiley & Sons, 2023)

  The discrete exterior calculus (DEC) is very promising, though not yet widely used, discretization method for photonic crystal (PC) waveguides. It can be seen as a generalization of the finite difference time domain (FDTD) ...