Computation of sum of squares polynomials from data points [PDF]
, 2020 We propose an iterative algorithm for the numerical computation of sums of squares of polynomials approximating given data at prescribed interpolation points.
Després, Bruno, Herda, Maxime
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Constraint interface preconditioning for topology optimization problems [PDF]
, 2015 The discretization of constrained nonlinear optimization problems arising in the field of topology optimization yields algebraic systems which are challenging to solve in practice, due to pathological ill-conditioning, strong nonlinearity and size.
Kocvara, Michal +2 more
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Nonlinear Preconditioning: How to use a Nonlinear Schwarz Method to Precondition Newton's Method [PDF]
, 2015 For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is almost always used, since the Krylov method finds a much better residual ...
Dolean, V. +4 more
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Time integration and the Trefftz Method Part I - First-order and parabolic problems
Computer Assisted Methods in Engineering and Science, 2023 The finite element method is applied in the time domain to establish formulations for the integration of first-order and parabolic (transient) problems. The modal decomposition concept is applied using two distinct approaches.
João A. Teixeira de Freitas
doaj
Selecciones Matemáticas, 2023 In this work, we consider the time-harmonic Maxwell's equations and their numerical solution with a domain decomposition method. As an innovative feature, we propose a feedforward neural network-enhanced approximation of the interface conditions between ...
Tobias Knoke +5 more
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A domain decomposition matrix-free method for global linear stability [PDF]
, 2012 This work is dedicated to the presentation of a matrix-free method for global linear stability analysis in geometries composed of multi-connected rectangular subdomains.
ALIZARD, Frédéric +2 more
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Accelerated Restricted Additive Schwarz method for asynchronous processing
Results in Applied MathematicsThis paper examines the parallel efficiency of both synchronous and asynchronous domain decomposition methods (DDMs), when solving algebraic systems derived from the discretization of partial differential equations (PDEs).
A. Ben bouzid +3 more
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A Pressure-Stabilized Lagrange-Galerkin Method in a Parallel Domain Decomposition System
Abstract and Applied Analysis, 2013 A pressure-stabilized Lagrange-Galerkin method is implemented in a parallel domain decomposition system in this work, and the new stabilization strategy is proved to be effective for large Reynolds number and Rayleigh number simulations.
Qinghe Yao, Qingyong Zhu
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Two-dimensional local Fourier image reconstruction via domain decomposition Fourier continuation method. [PDF]
PLoS ONE, 2019 The MRI image is obtained in the spatial domain from the given Fourier coefficients in the frequency domain. It is costly to obtain the high resolution image because it requires higher frequency Fourier data while the lower frequency Fourier data is less
Ruonan Shi +2 more
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An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method
Entropy, 2023 An optimized Schwarz domain decomposition method (DDM) for solving the local optical response model (LORM) is proposed in this paper. We introduce a hybridizable discontinuous Galerkin (HDG) scheme for the discretization of such a model problem based on ...
Jia-Fen Chen +3 more
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