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Data-driven tissue mechanics with polyconvex neural ordinary differential equations

Vahidullah Taç, Francisco Sahli Costabal, Adrián Buganza Tepole

2022Computer Methods in Applied Mechanics and Engineering100 citationsDOIOpen Access PDF

Topics & Concepts

OdeOrdinary differential equationConvexityComputational mechanicsArtificial neural networkApplied mathematicsFinite element methodContinuum mechanicsMonotonic functionComputer scienceBoundary value problemNonlinear systemA priori and a posterioriDifferential equationMathematicsMathematical optimizationMathematical analysisArtificial intelligenceClassical mechanicsPhysicsEconomicsFinancial economicsQuantum mechanicsPhilosophyThermodynamicsEpistemologyElasticity and Material ModelingModel Reduction and Neural Networks
Data-driven tissue mechanics with polyconvex neural ordinary differential equations | Litcius