Santiago Badia

Santiago Badia

Monash University

H-index: 39

Oceania-Australia

About Santiago Badia

Santiago Badia, With an exceptional h-index of 39 and a recent h-index of 27 (since 2020), a distinguished researcher at Monash University, specializes in the field of Scientific Computing, Numerical Analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations

Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks

Adaptive Finite Element Interpolated Neural Networks

Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem

Space-time unfitted finite elements on moving explicit geometry representations

Model order reduction with novel discrete empirical interpolation methods in space–time

Finite element interpolated neural networks for solving forward and inverse problems

Bound-preserving finite element approximations of the Keller–Segel equations

Santiago Badia Information

University

Position

Professor of Computational Mathematics

Citations(all)

5066

Citations(since 2020)

2398

Cited By

3661

hIndex(all)

39

hIndex(since 2020)

27

i10Index(all)

75

i10Index(since 2020)

62

Email

University Profile Page

Monash University

Google Scholar

View Google Scholar Profile

Santiago Badia Skills & Research Interests

Scientific Computing

Numerical Analysis

Top articles of Santiago Badia

Title

Journal

Author(s)

Publication Date

A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations

Computers & Mathematics with Applications

David Lee

Alberto F Martín

Christopher Bladwell

Santiago Badia

2024/7/1

Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks

Computers & Mathematics with Applications

Alexandre Magueresse

Santiago Badia

2024/5/15

Adaptive Finite Element Interpolated Neural Networks

arXiv preprint arXiv:2403.14054

Santiago Badia

Wei Li

Alberto F Martín

2024/3/21

Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem

Computers & Mathematics with Applications

Santiago Badia

Martin Hornkjøl

Arbaz Khan

Kent-André Mardal

Alberto F Martín

...

2024/3/1

Space-time unfitted finite elements on moving explicit geometry representations

arXiv preprint arXiv:2401.12649

Santiago Badia

Pere A Martorell

Francesc Verdugo

2024/1/23

Model order reduction with novel discrete empirical interpolation methods in space–time

Journal of Computational and Applied Mathematics

Nicholas Mueller

Santiago Badia

2024/7/1

Finite element interpolated neural networks for solving forward and inverse problems

Computer Methods in Applied Mechanics and Engineering

Santiago Badia

Wei Li

Alberto F Martín

2024/1/1

Bound-preserving finite element approximations of the Keller–Segel equations

Mathematical Models and Methods in Applied Sciences

Santiago Badia

Jesús Bonilla

Juan Vicente Gutiérrez-Santacreu

2023/3/13

High order unfitted finite element discretizations for explicit boundary representations

arXiv preprint arXiv:2311.14363

Pere A Martorell

Santiago Badia

2023/11/24

A massively parallel implementation of multilevel Monte Carlo for finite element models

Mathematics and Computers in Simulation

Santiago Badia

Jerrad Hampton

Javier Principe

2023/11/1

Stability and conditioning of immersed finite element methods: analysis and remedies

Frits de Prenter

Clemens V Verhoosel

E Harald van Brummelen

Mats G Larson

Santiago Badia

2023/7

Space-time unfitted finite element methods for time-dependent problems on moving domains

Computers & Mathematics with Applications

Santiago Badia

Hridya Dilip

Francesc Verdugo

2023/4/1

Neural Level Set Topology Optimization Using Unfitted Finite Elements

arXiv preprint arXiv:2303.13672

Connor N Mallon

Aaron W Thornton

Matthew R Hill

Santiago Badia

2023/3/23

GridapDistributed: a massively parallel finite element toolbox in Julia

Journal of Open Source Software

Santiago Badia

Alberto F Martín

Francesc Verdugo

2022/6/9

Linking ghost penalty and aggregated unfitted methods

Computer Methods in Applied Mechanics and Engineering

Santiago Badia

Eric Neiva

Francesc Verdugo

2022/1/1

Robust high-order unfitted finite elements by interpolation-based discrete extension

Computers & Mathematics with Applications

Santiago Badia

Eric Neiva

Francesc Verdugo

2022/12/1

Conditioning of a hybrid high-order scheme on meshes with small faces

Journal of Scientific Computing

Santiago Badia

Jérôme Droniou

Liam Yemm

2022/8

Geometrical discretisations for unfitted finite elements on explicit boundary representations

Journal of Computational Physics

Santiago Badia

Pere A Martorell

Francesc Verdugo

2022/7/1

The software design of Gridap: a finite element package based on the Julia JIT compiler

Computer Physics Communications

Francesc Verdugo

Santiago Badia

2022/7/1

Embedded multilevel Monte Carlo for uncertainty quantification in random domains

International Journal for Uncertainty Quantification

Santiago Badia

Jerrad Hampton

Javier Principe

2021

See List of Professors in Santiago Badia University(Monash University)

Co-Authors

H-index: 92
Alfio Quarteroni

Alfio Quarteroni

Politecnico di Milano

H-index: 60
Ramon Codina

Ramon Codina

Universidad Politécnica de Cataluña

H-index: 57
Jacob Fish

Jacob Fish

Columbia University in the City of New York

H-index: 49
Fabio Nobile

Fabio Nobile

École Polytechnique Fédérale de Lausanne

H-index: 45
Michele Chiumenti

Michele Chiumenti

Universidad Politécnica de Cataluña

H-index: 24
Annalisa Quaini

Annalisa Quaini

University of Houston

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