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math.NA2022★ 1 cited
Adaptive Deep Learning Method for Solving Partial Differential Equations
Ángel J. Omella, David Pardo
We introduce an adaptive algorithm to solve Partial Differential Equations using a Deep Neural Network. The proposed method restricts to tensor product meshes and optimizes the…
math.NA2020
Refined isogeometric analysis for generalized Hermitian eigenproblems
Ali Hashemian, David Pardo, Victor M. Calo
We use the refined isogeometric analysis (rIGA) to solve generalized Hermitian eigenproblems . The rIGA framework conserves the desirable properties of maximum-continui…
math.NA2020
Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
Sergio Rojas, David Pardo, Pouria Behnoudfar +1
We propose a goal-oriented mesh-adaptive algorithm for a finite element method stabilized via residual minimization on dual discontinuous-Galerkin norms. By solving a saddle-point…