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

Publications

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

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

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

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

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

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