Space-time DPG methods for partial-differential equations with geophysical applications

Project Information

GEODPG

Grant agreement ID: 101017984

DOI

10.3030/101017984

Project closed

EC signature date 13 March 2021

Start date 1 January 2022

End date 3 June 2025

Funded under

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Total cost

€ 263 732,16

EU contribution

€ 263 732,16

Coordinated by

BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS
Spain

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (12)

Regularity-conforming neural networks (ReCoNNs) for solving partial differential equations

Author(s): Jamie M. Taylor, David Pardo, Judit Muñoz-Matute
Published in: Journal of Computational Physics, Issue 532, 2025, Page(s) 113954, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2025.113954

A space-time discontinuous Petrov-Galerkin finite element formulation for a modified Schrödinger equation for laser pulse propagation in waveguides

Author(s): A. Chakraborty, J. Muñoz-Matute, L. Demkowicz, J. Grosek
Published in: Computers & Mathematics with Applications, Issue 200, 2025, Page(s) 67-84, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2025.09.004

Exploiting Kronecker structure in exponential integrators: fast approximation of the action of $φ$-functions of matrices via quadrature

Author(s): Croci, Matteo; Muñoz-Matute, Judit
Published in: Journal of Computational Science, 2023, ISSN 1877-7503
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2211.00696

Error representation of the time-marching DPG scheme

Author(s): J. Muñoz-Matute, L. Demkowicz, D. Pardo
Published in: Computer Methods in Applied Mechanics and Engineering, 2022, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2021.114480

Augmenting MRI scan data with real-time predictions of glioblastoma brain tumor evolution using faster exponential time integrators

Author(s): Magdalena Pabisz, Judit Muñoz-Matute, Maciej Paszyński
Published in: Journal of Computational Science, Issue 85, 2025, Page(s) 102493, ISSN 1877-7503
Publisher: Elsevier BV
DOI: 10.1016/j.jocs.2024.102493

Exploiting the Kronecker product structure of φ−functions with applications to exponential time integrators

Author(s): J. Muñoz-Matute, D. Pardo, V. M. Calo.
Published in: International Journal for Numerical Methods in Engineering, 2022, ISSN 0029-5981
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/nme.6929

An exponential integration generalized multiscale finite element method for parabolic problems

Author(s): L. F. Contreras, D. Pardo, E. Abreu, J. Muñoz-Matute, C. Diaz, J. Galvis.
Published in: Journal of Computational Physics, 2023, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2023.112014

Robust Variational Physics-Informed Neural Networks

Author(s): Sergio Rojas, Paweł Maczuga, Judit Muñoz-Matute, David Pardo, Maciej Paszyński
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 425, 2024, Page(s) 116904, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2024.116904

Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems

Author(s): Judit Muñoz-Matute, Leszek Demkowicz
Published in: SIAM Journal on Numerical Analysis, Issue 62, 2024, Page(s) 1956-1978, ISSN 0036-1429
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1598088

The DPG Method for the Convection-Reaction Problem, Revisited

Author(s): Leszek Feliks Demkowicz; Nathan V. Roberts; Judit Muñoz-Matute
Published in: Computational Methods in Applied Mathematics, 2022, ISSN 1609-4840
Publisher: Walter de Gruyter and Co.
DOI: 10.1515/cmam-2021-0149

Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation

Author(s): Judit Munoz-Matute; Leszek Demkowicz; Nathaniel Roberts
Published in: Computer Methods in Applied Mechanics and Engineering, 2022, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.2172/1869510

A Deep Double Ritz Method (D2rm) for Solving Partial Differential Equations Using Neural Networks

Author(s): Carlos Uriarte; David Pardo; Ignacio Muga; Judit Muñoz-Matute
Published in: Computer Methods in Applied Mechanics and Engineering, 2023, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.2139/ssrn.4281320