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Two-scale finite element discretizations for nonlinear eigenvalue problems in quantum physics
In this paper, some two-scale finite element discretizations are introduced and analyzed for a class of nonlinear elliptic eigenvalue problems on...
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Topology preservation on the BCC grid
A frequently investigated problem in various applications of binary image processing is to ensure the topology preservation of image operators....
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Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
In this paper, we present a second-order accurate Crank-Nicolson scheme for the two-grid finite element methods of the nonlinear Sobolev equations....
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Discontinuous Galerkin method with Voronoi partitioning for quantum simulation of chemistry
To circumvent a potentially dense two-body interaction tensor and obtain lower asymptotic costs for quantum simulations of chemistry, the...
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Numerical Methods for Fourth-Order PDEs on Overlap** Grids with Application to Kirchhoff–Love Plates
We describe novel numerical methods for solving a class of high-order time-dependent PDEs on general geometries, which involve second-order...
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The Use of Convolutional Neural Networks to Search for Fractures in the Geological Media
AbstractIn the paper inverse problems of exploration seismology were solved with use of convolutional neural networks to determine the spatial...
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Breakthrough ‘Workarounds’ in Unstructured Mesh Generation
After a brief historical review of unstructured grid generation methods the two ‘breakthrough workarounds’ that made these methods reliable...
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A narrow band-based dynamic load balancing scheme for the level-set ghost-fluid method
We present a dynamic load balancing scheme for compressible two-phase flows simulations using a high-order level-set ghost-fluid method. The load...
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On a Flow Around a Cylinder Over Uneven Bottom
AbstractA plane problem of a potential fluid flow around a cylinder of arbitrary section over an uneven bottom with a flow velocity at infinity...
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Fermat-curve based fuzzy inference system for the fuzzy logic controller performance optimization in load frequency control application
One of the main challenges in the security of energy supply in modern power systems is the frequency deviation. Appearance of an imbalance between...
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Towards DNS of Droplet-Jet Collisions of Immiscible Liquids with FS3D
In-air microfluidics became a new method for technical production processes with ultra-high throughput formerly performed in micro channels. Direct...
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Estimates of the Accuracy of the Projection Method with a Fractional Smoothness Stabilizer in the Problem of Reconstructing the Wavefront Based on Its Slopes
AbstractWe consider the projection method with a fractional smoothness stabilizer for approximating the problem of reconstructing the wavefront...
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On Extension of the Markov Chain Approximation Method for Computing Feynman–Kac Type Expectations
An efficient discrete time and space Markov chain approximation employing a Brownian bridge correction for computing curvilinear boundary crossing...
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A higher-order hybrid finite difference method based on grid equidistribution for fourth-order singularly perturbed differential equations
The paper presents a higher-order parameter uniform numerical approximation of a fourth-order singularly perturbed boundary value problem on a...
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A unified framework for two-grid methods for a class of nonlinear problems
In this article, we present a unified error analysis of two-grid methods for a class of nonlinear problems. We first study the two-grid method of Xu...
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Investigation and Application of the Domain Decomposition Method for Simulating Fuel Elements
AbstractComputational algorithms based on the two-level additive Schwarz method (a version of the domain decomposition method with overlap**) and...
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The momentum conservative scheme for simulating nonlinear wave evolution and run-up in U-shaped bays
This paper investigates a previously developed numerical algorithm; the scheme solves Saint-Venant type equations as a quasi-1-dimensional model for...
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Hybrid Grid-Characteristic Schemes for Arctic Seismic Problems
AbstractThe process of conducting seismic exploration of gas fields with a source and receivers installed on the surface of an ice island is...
