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Multiphase flow in porous media underpins subsurface energy and environmental technologies, including geological CO$_2$ storage and underground hydrogen storage, yet pore-scale dynamics in realistic three-dimensional materials remain…

This paper describes a 2D and 3D simulation engine that quantitatively models the statics, dynamics, and non-linear deformation of heterogeneous soft bodies in a computationally efficient manner. There is a large body of work simulating…

图形学 · 计算机科学 2012-12-13 Jonathan Hiller , Hod Lipson

Model predictive control offers a powerful framework for managing constrained systems, but its repeated online optimization can become computationally prohibitive. Multiparametric programming addresses this challenge by precomputing optimal…

最优化与控制 · 数学 2026-03-19 Lida Lamakani , Efstratios N. Pistikopoulos

In this paper, a topology optimization framework utilizing automatic differentiation is presented as an efficient way for solving 2D density-based topology optimization problem by calculating gradients through the fully differentiable…

计算工程、金融与科学 · 计算机科学 2020-09-23 Liang Chen , Herman M. H. Shen

Modern computer systems are highly configurable, with hundreds of configuration options that interact, resulting in an enormous configuration space. As a result, optimizing performance goals (e.g., latency) in such systems is challenging…

性能 · 计算机科学 2023-10-04 Md Shahriar Iqbal , Ziyuan Zhong , Iftakhar Ahmad , Baishakhi Ray , Pooyan Jamshidi

We study a novel problem that tackles learning based sensor scanning in 3D and uncertain environments with heterogeneous multi-robot systems. Our motivation is two-fold: first, 3D environments are complex, the use of heterogeneous…

机器人学 · 计算机科学 2021-09-29 Junfeng Chen , Yuan Gao , Junjie Hu , Fuqin Deng , Tin Lun Lam

The numerical simulation of structural mechanics applications via finite elements usually requires the solution of large-size and ill-conditioned linear systems, especially when accurate results are sought for derived variables interpolated…

Operations research practitioners frequently want to model complicated functions that are are difficult to encode in their underlying optimisation framework. A common approach is to solve an approximate model, and to use a simulation to…

最优化与控制 · 数学 2022-07-06 Michael Forbes , Mitchell Harris , Marijn Jansen , Femke van der Schoot , Thomas Taimre

A new numerical continuum \textit{one-domain} approach (ODA) solver is presented for the simulation of the transfer processes between a free fluid and a porous medium. The solver is developed in the \textit{mesoscopic} scale framework,…

数值分析 · 数学 2023-09-08 Costanza Arico , Rainer Helmig , Daniele Puleo , Martin Schneider

Understanding and predicting microstructure evolution is fundamental to materials science, as it governs the resulting properties and performance of materials. Traditional simulation methods, such as phase-field models, offer high-fidelity…

机器学习 · 计算机科学 2026-02-24 Michael Trimboli , Mohammed Alsubaie , Sirani M. Perera , Ke-Gang Wang , Xianqi Li

In this paper, we study the numerical algorithm for a nonlinear poroelasticity model with nonlinear stress-strain relations. By using variable substitution, the original problem can be reformulated to a new coupled fluid-fluid system, that…

数值分析 · 数学 2022-05-17 Zhihao Ge , Hairun Li , Tingting Li

Determining a process-structure-property relationship is the holy grail of materials science, where both computational prediction in the forward direction and materials design in the inverse direction are essential. Problems in materials…

计算工程、金融与科学 · 计算机科学 2020-04-28 Anh Tran , John A. Mitchell , Laura P. Swiler , Tim Wildey

Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usually highly heterogeneous with very large contrast. To overcome…

数值分析 · 数学 2020-05-15 Xia Wang , Eric Chung , Shubin Fu , Zhaoqin Huang

In soft porous media, deformation drives solute transport via the intrinsic coupling between flow of the fluid and rearrangement of the pore structure. Solute transport driven by periodic loading, in particular, can be of great relevance in…

流体动力学 · 物理学 2025-04-16 Matilde Fiori , Satyajit Pramanik , Christopher W. MacMinn

We introduce a general differentiable solver for time-dependent deformation problems with contact and friction. Our approach uses a finite element discretization with a high-order time integrator coupled with the recently proposed…

A challenge that machine learning practitioners in the industry face is the task of selecting the best model to deploy in production. As a model is often an intermediate component of a production system, online controlled experiments such…

We present an algorithm for the numerical solution of the equations governing combustion in porous inert media. The discretization of the flow problem is performed by the mixed finite element method, the transport problems are discretized…

数值分析 · 数学 2016-09-01 Peter Knabner , Gerhard Summ

During the development of autonomous systems such as driverless cars, it is important to characterize the scenarios that are most likely to result in failure. Adaptive Stress Testing (AST) provides a way to search for the most-likely…

机器学习 · 计算机科学 2019-07-17 Mark Koren , Mykel Kochenderfer

This article describes an absolutely stable, first-order constraint solverfor multi-rigid body systems that calculates (predicts) constraint forces for typical bilateral and unilateral constraints, contact constraints with friction, and…

数值分析 · 计算机科学 2019-05-28 Evan Drumwright

Many problems within personalized medicine and digital health rely on the analysis of continuous-time functional biomarkers and other complex data structures emerging from high-resolution patient monitoring. In this context, this work…

机器学习 · 统计学 2025-01-14 Marcos Matabuena