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Numerical Approximation of a PDE‐Constrained Optimization Problem that Appears in Data‐Driven Computational Mechanics

International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT We investigate an optimization problem that arises when working within the paradigm of Data‐Driven Computational Mechanics. In the context of the diffusion‐reaction problem, such an optimization problem seeks the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The
Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia, Roberto F. Ausas   +3 more
wiley   +1 more source

Poroelasticity derived from the microstructure for intrinsically incompressible constituents. [PDF]

Z Angew Math Phys
Penta R, Lonati C, Miller L, Marzocchi A.   +3 more
europepmc   +1 more source

Divergent viral phosphodiesterases for immune signaling evasion. [PDF]

Cell Host Microbe
Doherty EE, Nomburg J, Adler BA, Lopez S, Hsieh K, Price N, Blount N, Doudna JA.   +7 more
europepmc   +1 more source

Pattern Formation in Agent-Based and PDE Models for Evolutionary Games with Payoff-Driven Motion. [PDF]

Bull Math Biol
Yao T, Xu C, Cooney DB.
europepmc   +1 more source

Cyclic Nucleotide Phosphodiesterase Families as Targets to Treat Pulmonary Arterial Hypertension: Beyond PDE5 Inhibitors? [PDF]

Cells
Wang L, Fischmeister R, Manoury B.
europepmc   +1 more source

Generative discovery of partial differential equations by learning from math handbooks. [PDF]

Nat Commun
Xu H, Chen Y, Cao R, Tang T, Du M, Li J, Callaghan AH, Zhang D.   +7 more
europepmc   +1 more source

Random Neural Networks for Rough Volatility. [PDF]

Appl Math Optim
Jacquier A, Žurič Ž.
europepmc   +1 more source

Deep Eutectic Solvents in Chronic Wound Management: Current Developments and Future Prospects. [PDF]

Int J Nanomedicine
Bastola R, Thapa RK.
europepmc   +1 more source

Calcium dynamics in small spaces: Lessons learned from modeling in dendritic spines. [PDF]

Biophys J
McCabe KJ, Hernández Mesa M, Rangamani P.   +2 more
europepmc   +1 more source

Understanding Pseudomonas aeruginosa Biofilms: Quorum Sensing, c-di-GMP Signaling, and Emerging Antibiofilm Approaches. [PDF]

Microorganisms
Elbehiry A, Marzouk E, Edrees HM, Ibrahem M, Alzahrani S, Anagreyyah S, Abualola H, Alghamdi A, Alzahrani A, Jaber M, Abu-Okail A.   +10 more
europepmc   +1 more source