# Advanced Mathematical Modeling in Engineering

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-mathematical-modeling-in-engineering-2/

## Facts

| Field | Value |
| --- | --- |
| Citations | 1,258,854 |
| Description | This cluster of papers focuses on the development and application of multiscale methods for analyzing heterogeneous systems, particularly in the context of homogenization, finite element simulations, and porous media flow. The papers cover topics such as upscaling techniques, subsurface flow simulation, coarse-grained computation, and the use of microscopic simulators to perform system-level analysis. |
| Domain | Physical Sciences |
| Field | Computer Science |
| OpenAlex ID | https://openalex.org/T12100 |
| Works | 103,205 |

## Topic researchers

Showing 12 of 20.

- [H. Eugene Stanley](https://scholariq.org/researchers/h-eugene-stanley/)
- [David L. Donoho](https://scholariq.org/researchers/david-l-donoho/)
- [Stanley Osher](https://scholariq.org/researchers/stanley-osher/)
- [Emmanuel J. Candès](https://scholariq.org/researchers/emmanuel-j-candes/)
- [Ming–Hsuan Yang](https://scholariq.org/researchers/ming-hsuan-yang/)
- [George Em Karniadakis](https://scholariq.org/researchers/george-em-karniadakis/)
- [Thomas J.R. Hughes](https://scholariq.org/researchers/thomas-j-r-hughes/)
- [Ted Belytschko](https://scholariq.org/researchers/ted-belytschko/)
- [Tomaso Poggio](https://scholariq.org/researchers/tomaso-poggio/)
- [Gordon McKay](https://scholariq.org/researchers/gordon-mckay/)
- [Miroslav Krstić](https://scholariq.org/researchers/miroslav-krstic/)
- [Shuzhi Sam Ge](https://scholariq.org/researchers/shuzhi-sam-ge/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.