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11/08/2022
Numerical analysis of the SIMP model for the topology optimization of minimizing compliance in linear elasticity
We study the finite element approximation of the solid isotropic materia...
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10/15/2022
A sparse spectral method for fractional differential equations in one-spacial dimension
We develop a sparse spectral method for a class of fractional differenti...
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02/16/2022
Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization
Topology optimization problems generally support multiple local minima, ...
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08/09/2021
Numerical analysis of a discontinuous Galerkin method for the Borrvall-Petersson topology optimization problem
Divergence-free discontinuous Galerkin (DG) finite element methods offer...
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02/20/2021
Numerical analysis of a topology optimization problem for Stokes flow
T. Borrvall and J. Petersson [Topology optimization of fluids in Stokes ...
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04/24/2020