Results 51 to 60 of about 73,174 (233)
Re-iterated approximation methods for nonlinear Volterra integral equations
Mathematical Modelling and AnalysisIn this article, the Newton-iteration scheme based upon iterated Galerkin operator is applied for solving non-linear Volterra Urysohn integral equations of the second kind for smooth and weakly singular kernels. A one step of improvement by iteration to
Samiran Chakraborty +3 more
doaj +1 more source
Adaptive Fourier-Galerkin methods
Mathematics of Computation, 2013 We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d \mathbb {R}^d with dimension d ≥ 1 d\ge 1 . These methods offer unlimited approximation power only restricted by solution and data regularity.
C. Canuto, R. H. Nochetto, VERANI, MARCO
openaire +4 more sources
International Journal for Numerical Methods in Fluids, EarlyView.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley +1 more source
The Adjoint Petrov–Galerkin method for non-linear model reduction [PDF]
Computer Methods in Applied Mechanics and Engineering, 2018 We formulate a new projection-based reduced-ordered modeling technique for non-linear dynamical systems. The proposed technique, which we refer to as the Adjoint Petrov-Galerkin (APG) method, is derived by decomposing the generalized coordinates of a ...
E. Parish +2 more
semanticscholar +1 more source
TecnoLógicas, 2008 This paper presents the solution to the problem of the distribution of the electrostatic potential in a square plate by means of the Finite Elements Method (FEM).
Jairo Madrigal-Argáez +2 more
doaj
Heat Transfer, EarlyView.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley +1 more source
Analysis of $L1$-Galerkin FEMs for time-fractional nonlinear parabolic problems [PDF]
, 2016 This paper is concerned with numerical solutions of time-fractional nonlinear parabolic problems by a class of $L1$-Galerkin finite element methods. The analysis of $L1$ methods for time-fractional nonlinear problems is limited mainly due to the lack of ...
Dongfang Li +4 more
semanticscholar +1 more source
Revista Facultad de Ingeniería Universidad de Antioquia, 2009 El presente artículo estudia el método Streamline Upwind Petrov Galerkin como técnica de estabilización de la solución numérica de las ecuaciones diferenciales de advección-difusión-reacción; se analiza el método a la luz de la naturaleza no auto adjunta
Diego Alexander Garzón Alvarado +2 more
doaj
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers [PDF]
SIAM Journal on Scientific Computing, 2016 This study presents a fair performance comparison of the continuous finite element method, the symmetric interior penalty discontinuous Galerkin method, and the hybridized discontinuous Galerkin (H...
M. Kronbichler, W. Wall
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