Results 11 to 20 of about 33,031 (111)
Finite element methods for surface PDEs [PDF]
, 2013 In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the ...
Aragón +21 more
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Solving high-order partial differential equations with indirect radial basis function networks [PDF]
, 2005 This paper reports a new numerical method based on radial basis function networks (RBFNs) for solving high-order partial differential equations (PDEs).
Mai-Duy, N., Tanner, R. I.
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PDEs with Compressed Solutions [PDF]
, 2014 Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted through the addition of an $L^1$ norm (or related quantity) as a constraint
Caflisch, Russel E. +3 more
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Accelerated pseudo-transient method for elastic, viscoelastic, and coupled hydromechanical problems with applications [PDF]
Geoscientific Model DevelopmentThe accelerated pseudo-transient (APT) method is a matrix-free approach used to solve partial differential equations (PDEs), characterized by its reliance on local operations, which makes it highly suitable for parallelization.
Y. Alkhimenkov, Y. Y. Podladchikov
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On numerical simulation of liquid polymer moulding
Mathematical Modelling and Analysis, 2003 In this paper we consider numerical algorithms for solving the system of nonlinear PDEs, arising in modeling of liquid polymer injection. We investigate the particular case when a porous preform is located within the mould, so that the liquid polymer is ...
R. Čiegis, O. Iliev
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A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science [PDF]
, 2019 In this paper, we study damped second-order dynamics, which are quasilinear hyperbolic partial differential equations (PDEs). This is inspired by the recent development of second-order damping systems for accelerating energy decay of gradient flows.
Dong, Guozhi +2 more
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, 2020 We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients.
Law, Yann-Meing +2 more
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General tooth boundary conditions for equation free modelling [PDF]
, 2006 We are developing a framework for multiscale computation which enables models at a ``microscopic'' level of description, for example Lattice Boltzmann, Monte Carlo or Molecular Dynamics simulators, to perform modelling tasks at ``macroscopic'' length ...
Kevrekidis, I. G., Roberts, A. J.
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Symmetric boundary knot method
, 2002 The boundary knot method (BKM) is a recent boundary-type radial basis function (RBF) collocation scheme for general PDEs. Like the method of fundamental solution (MFS), the RBF is employed to approximate the inhomogeneous terms via the dual reciprocity ...
Chen, W.
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A De Giorgi Iteration-based Approach for the Establishment of ISS Properties for Burgers' Equation with Boundary and In-domain Disturbances [PDF]
, 2018 This note addresses input-to-state stability (ISS) properties with respect to (w.r.t.) boundary and in-domain disturbances for Burgers' equation. The developed approach is a combination of the method of De~Giorgi iteration and the technique of Lyapunov ...
Zheng, Jun, Zhu, Guchuan
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