Search Results - Point Collocation

Point collocation with mollified piecewise polynomial approximants for high‐order partial differential equations by Alfarisy, Dewangga, Zuhal, Lavi, Ortiz, Michael, Cirak, Fehmi, Febrianto, Eky

“… In this work, we exploit the high‐order and high‐smoothness properties of the mollified basis functions for solving PDEs through the point collocation method…”
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Machine Learning Optimization of the Collocation Point Set for Solving the Kohn-Sham Equation by Ku, Jonas, Kamath, Aditya, Carrington, Jr, Tucker, Manzhos, Sergei

“… Collocation points can be restricted to a small region of space. As no integrals are computed, there are no problems due to discontinuities in the potential, and there is no need to use integrable basis functions…”
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Comparison of the Point-Collocation Non-Intrusive Polynomial (NIPC) and Non-Intrusive Spectral Projection (NISP) Methods for the γ − R θ Transition Model by Nguyen, Thanh Hoai, Chang, Kyoungsik

“…In the present work, a comparative study of two major non-intrusive polynomial chaos methods, Point-Collocation Non-Intrusive Polynomial Chaos (NIPC…”
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Free vibration of viscoelastic foam plates based on single-term Bubnov–Galerkin, least squares, and point collocation methods by Zamani, H. A.

“…–Galerkin, least squares, and point collocation methods on the free vibration behavior of viscoelastic plates…”
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Enhancing PINNs for solving PDEs via adaptive collocation point movement and adaptive loss weighting by Hou, Jie, Li, Ying, Ying, Shihui

“… The model draws on the idea of traditional adaptive methods and incorporates the adaptive collocation point movement method into the PINNs model…”
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A meshless point collocation solver for elliptic boundary value problems by Bourantas, G.C., Sakellarios, A., Malamos, N., Loukopoulos, V.C., Burganos, V.N., Fotiadis, D.I., Calo, V.M.

“…•We develop a strong-form meshless point collocation (MPC) solver for the Poisson equation in 2D and 3D…”
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A meshfree point collocation method for elliptic interface problems by Kraus, Heinrich, Kuhnert, Jörg, Meister, Andreas, Suchde, Pratik

“…•Meshfree hybrid discretization of the diffusion operator with discontinuous coefficients.•Formulation of a conservative scheme to enforce Neumann boundary…”
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Lattice-Boltzmann and meshless point collocation solvers for fluid flow and conjugate heat transfer by Kalarakis, A.N., Bourantas, G.C., Skouras, E.D., Loukopoulos, V.C., Burganos, V.N.

“…SUMMARY The applicability and performance of the lattice‐Boltzmann (LB) and meshless point collocation methods as CFD solvers in flow and conjugate heat transfer processes are investigated in this work. Lid…”
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Point collocation methods using the fast moving least-square reproducing kernel approximation by Kim, Do Wan, Kim, Yongsik

“…A pseudo‐spectral point collocation meshfree method is proposed. We apply a scheme of approximating derivatives based on the moving least…”
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Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem by Shahni, Julee, Singh, Randhir, Cattani, Carlo

“…We propose two efficient numerical algorithms, Bernoulli uniform collocation method and Bernoulli Chebyshev collocation method for solving 3rd-order Lane-Emden-Fowler boundary value problems…”
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Meshfree point collocation method for the stream-vorticity formulation of 2D incompressible Navier–Stokes equations by Kim, Yongsik, Kim, Do Wan, Jun, Sukky, Lee, Jin Ho

“…Meshfree point collocation method is developed for the stream-vorticity formulation of two-dimensional incompressible Navier–Stokes equations…”
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Simulation–optimization model for groundwater contamination remediation using meshfree point collocation method and particle swarm optimization by MEENAL, MATEGAONKAR, ELDHO, T I

“…Remediation of the groundwater contamination problem is a tedious, time consuming and expensive process. Pump and treat (PAT) is one of the commonly used…”
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Physics-informed neural ODE (PINODE): embedding physics into models using collocation points by Sholokhov, Aleksei, Liu, Yuying, Mansour, Hassan, Nabi, Saleh

“… We propose aiding a model’s training with the knowledge of physics using a collocation-based physics-informed loss term…”
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Meshless point collocation for the numerical solution of Navier–Stokes flow equations inside an evaporating sessile droplet by Bourantas, G.C., Petsi, A.J., Skouras, E.D., Burganos, V.N.

“… Two meshless point collocation methods are applied here to this problem and used for flow computations and for comparison with analytical and more traditional numerical solutions…”
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Optimal remediation design and simulation of groundwater flow coupled to contaminant transport using genetic algorithm and radial point collocation method (RPCM) by Seyedpour, S.M., Kirmizakis, P., Brennan, P., Doherty, R., Ricken, T.

“…The simulation-optimisation models of groundwater and contaminant transport can be a powerful tool in the management of groundwater resources and remediation…”
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A New Statistical Method for Analyzing Point Collocations by Sadahiro, Yukio

“…This article proposes a new method for analyzing the collocation of spatial objects represented as points…”
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Collocation-variation difference schemes with several collocation points for differential-algebraic equations by Bulatov, Mikhail, Solovarova, Liubov

“… We propose collocation-variation difference schemes with several collocation points and show the principal difference between these approaches and the known difference schemes…”
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An adaptive local maximum entropy point collocation method for linear elasticity by Fan, Lei, Coombs, William M., Augarde, Charles E.

“…•Combined rh-adaptivity is applied to the local maximum entropy point collocation method for the first time…”
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The point collocation method with a local maximum entropy approach by Fan, Lei, Coombs, William M., Augarde, Charles E.

“…•Maximum entropy approximation is combined with point collocation for the first time…”
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A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation by Salehi, Rezvan

“…In this paper, a meshless collocation method is considered to solve the multi-term time fractional diffusion-wave equation in two dimensions…”
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