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Discontinuous Galerkin Isogeometric Analysis of Elliptic PDEs on Surfaces

, 2014
The Isogeometric Analysis (IGA), that was introduced by Hughes et al. [9] and has since been developed intensively, see also monograph [4], is a very suitable framework for representing and discretizing Partial Differential Equations (PDEs) on surfaces ...
U. Langer, S. Moore
semanticscholar   +1 more source

Analysis and simulation of a PDE model for surface relaxation

Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Functional Analysis Methods in PDEs

1997
The equation {Eq 329_1}is uniformly elliptic in the region Q ⊂ R n if there exist constants C 1 > 0 and C 2 > 0 such that {Eq 329_2} where A(x)=[a ij ] n ...
Endre Pap   +2 more
openaire   +1 more source

VS-PINN: A Fast and efficient training of physics-informed neural networks using variable-scaling methods for solving PDEs with stiff behavior

Journal of Computational Physics
Physics-informed neural networks (PINNs) have recently emerged as a promising way to compute the solutions of partial differential equations (PDEs) using deep neural networks.
Seungchan Ko, Sanghyeon Park
semanticscholar   +1 more source

Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled With Lagrange Multipliers

SIAM Journal on Numerical Analysis, 2021
Paolo Zunino   +2 more
exaly  

Lyapunov-Based Boundary Feedback Design for Parabolic PDEs

International Journal of Control, 2021
Iasson Karafyllis
exaly  

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