Engineering Applications of Computational Fluid MechanicsThe exploration of deep learning methodologies has recently generated significant interest in the use of Physics-Informed Neural Networks (PINNs) to address complex physical problems governed by partial differential equations (PDEs).
Xin Qi +4 more
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Estimation of vector fields in unconstrained and inequality constrained variational problems for segmentation and registration [PDF]
, 2008 Vector fields arise in many problems of computer vision, particularly in non-rigid registration. In this paper, we develop coupled partial differential equations (PDEs) to estimate vector fields that define the deformation between objects, and the ...
Slabaugh, Greg, Ünal, Gözde
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The use of the mesh free methods (radial basis functions) in the modeling of radionuclide migration and moving boundary value problems [PDF]
, 2007 Recently, the mesh free methods (radial basis functions-RBFs) have emerged as a novel computing method in the scientific and engineering computing community.
Runovc, Franc +2 more
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A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels
, 2018 Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless implementation and is
Fasshauer, Gregory E +3 more
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Nonlinear elliptic equations with high order singularities [PDF]
, 2016 We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
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Relaxed micromorphic model of transient wave propagation in anisotropic band-gap metastructures
, 2018 In this paper, we show that the transient waveforms arising from several localised pulses in a micro-structured material can be reproduced by a corresponding generalised continuum of the relaxed micromorphic type.
Aivaliotis, Alexios +5 more
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On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations
, 2017 Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms.
Kuhnert, Joerg +2 more
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Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge
Journal of MathematicsThis work aims to analyze the Casson thermal boundary layer flow over an expanding wedge in a porous medium with convective boundary conditions and ohmic heating.
Dur-e-Shehwar Sagheer +6 more
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Open PhysicsThis research presents a computational investigation of non-linear, steady-state, incompressible laminar boundary-layer flow over a semi-infinite vertical plate using the Darcy–Forchheimer model along with Buongiorno’s nanofluid model. Thermal convection
Anjum Asra +7 more
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Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs
, 2014 Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
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