Thèse de doctorat : Università della Svizzera italiana, 2021 ; 2021INFO013.
Recent years have seen the rapid growth in interest towards fractional calculus. Fractional calculus plays an important role in modelling anomalous diffusion phenomena, however closed-form analytical solutions of such equations are rarely available, hence numerical estimates are needed. In this thesis we consider various fractional diffusion equations (FDEs), where different fractional ...
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In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2017, vol. 2017, no. 725, p. 217-234
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In: BIT Numerical Mathematics, 2015, vol. 55, no. 2, p. 459-485
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Thèse de doctorat : Università della Svizzera italiana, 2020 ; 2020INFO009.
In the unfitted finite element methods, traditionally we can use Nitsche's method or the method of Lagrange multipliers to enforce the boundary/interface conditions. In this work, we present tailored multilevel methods for solving the problems stemming from either of these discretizations. Generally, multigrid methods require a hierarchy of finite element (FE) spaces which can be created...
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In: Communications in Mathematical Physics, 2014, vol. 332, no. 3, p. 1083-1111
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In: Pure and Applied Geophysics, 2014, vol. 171, no. 9, p. 2165-2184
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In: Advances in Calculus of Variations, 2016, vol. 9, no. 3, p. 293-304
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In: Numerische Mathematik, 2014, vol. 126, no. 4, p. 589-633
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In: Journal of Numerical Mathematics, 2016, vol. 24, no. 1, p. 1-15
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In: Numerische Mathematik, 2012, vol. 121, no. 3, p. 397-431
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