125 citations · 156 across the 8 of their papers we have counts for
10 papers
Implicit Lagrangian Hydrodynamics with High-Order Finite Elements
Julian Andrej, John Camier, Veselin Dobrev +6
We present an implicit time integration capability for high-order curvilinear finite element Lagrangian hydrodynamics. Starting from an existing explicit formulation, the implicit…
PDE-Constrained High-Order Mesh Optimization
Tzanio Kolev, Boyan Lazarov, Ketan Mittal +2
We present a novel framework for PDE-constrained -adaptivity of high-order meshes. The proposed method formulates mesh movement as an optimization problem, with an objective fun…
Scalable Analysis and Design Using Automatic Differentiation
Julian Andrej, Tzanio Kolev, Boyan Lazarov
This article aims to demonstrate and discuss the applications of automatic differentiation (AD) for finding derivatives in PDE-constrained optimization problems and Jacobians in no…
A Simple Introduction to the SiMPL Method for Density-Based Topology Optimization
Dohyun Kim, Boyan Stefanov Lazarov, Thomas M. Surowiec +1
We introduce a novel method for solving density-based topology optimization problems: Sigmoidal Mirror descent with a Projected Latent variable (SiMPL). The SiMPL method (pronounce…
Analysis of the SiMPL method for density-based topology optimization
Brendan Keith, Dohyun Kim, Boyan S. Lazarov +1
We present a rigorous convergence analysis of a new method for density-based topology optimization that provides point-wise bound preserving design updates and faster convergence t…
Finite elements for Matérn-type random fields: Uncertainty in computational mechanics and design optimization
Tobias Duswald, Brendan Keith, Boyan Lazarov +2
This work highlights an approach for incorporating realistic uncertainties into scientific computing workflows based on finite elements, focusing on applications in computational m…
High-performance finite elements with MFEM
Julian Andrej, Nabil Atallah, Jan-Phillip Bäcker +15
The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and i…
An Adaptive Sampling Augmented Lagrangian Method for Stochastic Optimization with Deterministic Constraints
Raghu Bollapragada, Cem Karamanli, Brendan Keith +3
The primary goal of this paper is to provide an efficient solution algorithm based on the augmented Lagrangian framework for optimization problems with a stochastic objective funct…
Fast multiscale contrast independent preconditioners for linear elastic topology optimization problems
Miguel Zambrano, Sintya Serrano, Boyan S. Lazarov +1
The goal of this work is to present a fast and viable approach for the numerical solution of the high-contrast state problems arising in topology optimization. The optimization pro…
Robust topology optimisation of microstructural details without length scale separation - using a spectral coarse basis preconditioner
Joe Alexandersen, Boyan S. Lazarov
This paper applies topology optimisation to the design of structures with periodic microstructural details without length scale separation, i.e. considering the complete macroscopi…