Search Results - Boundary element methods for initial value AND initial-boundary value problems involving PDEs

A physics-inspired neural network to solve partial differential equations - application in diffusion-induced stress by Xue, Yuan, Li, Yong, Zhang, Kai, Yang, Fuqian

“… Due to the complexity and nonlinear characteristics of the initial-boundary value problems, numerical methods, such as finite difference, finite element, spectral analysis, and so forth, have been used…”
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LOCAL ERROR ESTIMATES FOR SUPG SOLUTIONS OF ADVECTION-DOMINATED ELLIPTIC LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS by HEINKENSCHLOSS, MATTHIAS, LEYKEKHMAN, DMITRIY

“…) using the streamline upwind/Petrov Galerkin (SUPG) stabilized finite element method. We show that if the SUPG method is used to solve optimization problems governed…”
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Meshless local Petrov–Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation by Mirzaei, Davoud, Dehghan, Mehdi

“…During the past few years, the idea of using meshless methods for numerical solution of partial differential equations (PDEs…”
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Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions by Carlson, Neil N., Miller, Keith

“… These moving node methods are especially suited to problems which develop sharp moving fronts, especially problems where one needs to resolve the fine-scale structure of the fronts…”
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A Geometrical-Mechanical Interpretation of Gradient-Weighted Moving Finite Elements by Miller, Keith

“…The usual explanation of the gradient-weighted moving finite element (GWMFE) method has been in terms of its variational interpretation…”
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Chemo-mechanical coupling and material evolution in finitely deforming solids with advancing fronts of reactive fluids by Anguiano, Marcelino, Gajendran, Harishanker, Hall, Richard B., Rajagopal, Kumbakonam R., Masud, Arif

“…A new stabilized method is presented for coupled chemo-mechanical problems involving chemically reacting fluids flowing through deformable elastic solids…”
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Moving Mesh Techniques Based upon Equidistribution, and Their Stability by Ren, Yuhe, Russell, Robert D.

“…Various aspects of the moving mesh problem are investigated for the solution of partial differential equations (PDEs…”
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Sobolev Gradient Semi-flows & Applications to Nonlinear Problems by Karki, Ramesh

“… (Dirichlet or periodic) boundary conditions. Under the stronger assumptions, we are interested in studying solutions in a special class whose elements satisfy non-selfintersecting property and have bounded distance from a given hyperplane…”
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Sixth International Congress on Industrial Applied Mathematics, ICIAM07, Zürich 2007 and GAMM Annual Meeting, Zürich 2007

“…Volume 7 (2007) of PAMM “Proceedings in Applied Mathematics and Mechanics” assembles the Minisymposia and Contributed papers to both the 6th International…”
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