Results 121 to 130 of about 702,196 (224)
An algorithm to create conservative Galerkin projection between meshes
, 2021 We present in this paper an algorithm to solve pure-convection problems with a conservative Lagrange-Galerkin formulation in the framework of the finite element method. The integrals obtained from the Lagrange-Galerkin formulation will be computed with an algorithm which leads to conservation of mass up to machine accuracy, when we ...
Gómez Molina, P. +2 more
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MATEC Web of Conferences, 2018 This paper describes the algorithm for the numerical solution of the diffraction problem of waveguide modes at the joint of two open planar waveguides. For planar structures under consideration, we can formulate a scalar diffraction problem, which is a ...
Divakov Dmitriy +2 more
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Projection-based model-order reduction via graph autoencoders suited for unstructured meshes
Data-Centric EngineeringThis paper presents the development of a graph autoencoder architecture capable of performing projection-based model-order reduction (PMOR) using a nonlinear manifold least-squares Petrov–Galerkin (LSPG) projection scheme.
Liam Magargal +4 more
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Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity
Results in Applied MathematicsThis paper explores an iterative approach to solve linear thermo-poroelasticity problems, with its application as a high-fidelity discretization utilizing finite elements during the training of projection-based reduced order models.
Francesco Ballarin +2 more
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Stability preservation in Galerkin-type projection-based model order reduction
Numerical Algebra, Control & Optimization, 2019 We consider linear dynamical systems consisting of ordinary differential equations with high dimensionality. The aim of model order reduction is to construct an approximating system of a much lower dimension. Therein, the reduced system may be unstable, even though the original system is asymptotically stable.
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Stochastic PDE projection on manifolds:Assumed-density and Galerkin filters
, 2016 We review the manifold projection method for stochastic nonlinear filtering in a more general setting than in our previous paper in Geometric Science of Information 2013. We still use a Hilbert space structure on a space of probability densities to project the infinite dimensional stochastic partial differential equation for the optimal filter onto a ...
Armstrong, John; id_orcid 0000-0002-4232-9555 +1 more
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Galerkin Projection Methods for Solving Multiple Linear Systems
, 2007 In this paper, we consider using conjugate gradient (CG) methods for solving multiple linear systems A(i) x(i) = b(i) , for 1 ≤ i ≤ s, where the coefficient matrices A(i) and the right-hand sides b( i) are different in general. In particular, we focus on the seed projection method which generates a Krylov subspace from a set of direction vectors ...
Ng, MKP, Chan, TF
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Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Comput Math Appl, 2023 Guan Q, Queisser G, Zhao W.
europepmc +1 more source
Estimating flow fields with reduced order models. [PDF]
Heliyon, 2023 Sommer KD +4 more
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Electronic Journal of Differential Equations, 2014 The operational block-pulse functions, a well-known method for solving functional equations, is employed to solve a system of nonlinear Volterra integro-differential equations.
Ali Ebadian, Amir Ahmad Khajehnasiri
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