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04/26/2023
Preconditioned discontinuous Galerkin method and convection-diffusion-reaction problems with guaranteed bounds to resulting spectra
This paper focuses on the design, analysis and implementation of a new p...
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08/21/2022
Efficient numerical method for reliable upper and lower bounds on homogenized parameters
A numerical procedure providing guaranteed two-sided bounds on the effec...
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03/06/2022
Optimal FFT-accelerated Finite Element Solver for Homogenization
We propose a matrix-free finite element (FE) homogenization scheme that ...
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11/23/2021
Comparison of FETI-based domain decomposition methods for topology optimization problems
We critically assess the performance of several variants of dual and dua...
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10/19/2021
Microstructure reconstruction via artificial neural networks: A combination of causal and non-causal approach
We investigate the applicability of artificial neural networks (ANNs) in...
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05/07/2021
Elimination of ringing artifacts by finite-element projection in FFT-based homogenization
Micromechanical homogenization is often carried out with Fourier-acceler...
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10/01/2020
Phase-field Fracture Modelling of Thin Monolithic and Laminated Glass Plates under Quasi-static Bending
A phase-field description of brittle fracture is employed in the reporte...
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04/15/2020
Modular-topology optimization with Wang tilings: An application to truss structures
Modularity is appealing for solving many problems in optimization. It br...
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01/10/2020
Guaranteed two-sided bounds on all eigenvalues of preconditioned diffusion and elasticity problems solved by the finite element method
A method of estimating all eigenvalues of a preconditioned discretized s...
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11/08/2019
Newmark algorithm for dynamic analysis with Maxwell chain model
This paper investigates a time-stepping procedure of the Newmark type fo...
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03/22/2019
Level-set based design of Wang tiles for modelling complex microstructures
Microstructural geometry plays a critical role in a response of heteroge...
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01/03/2018