Description and Convergence Order Analysis of the Finite Element‐Volume Spatial Discretization Method
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DOI: 10.1002/fld.5399
Abstract: This article reviews the Finite Element‐Volume spatial discretization method on tetrahedral meshes implemented in the TrioCFD code. TrioCFD is a computational fluid dynamics software specifically designed for simulating turbulent flows and heat transfer, with a… read more here.
Keywords: method; element volume; finite element; discretization ... See more keywords
A projection‐based quaternion discretization of the geometrically exact beam model
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DOI: 10.1002/nme.7538
Abstract: In the present work the geometrically exact beam model is formulated in terms of unit quaternions. A projection‐based discretization approach is proposed which is based on a normalization of the quaternion approximation. The discretization relies… read more here.
Keywords: exact beam; geometrically exact; beam; projection based ... See more keywords
An Extension of a Lyapunov‐Function‐Based Discretization Method for Asymptotically Stable Homogeneous Systems
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DOI: 10.1002/rnc.70290
Abstract: In this paper, we propose a family of discretization schemes that generalizes the Lyapunov‐function‐based scheme introduced in [49] for asymptotically stable homogeneous systems. We prove that if a convergent method with an order of consistency… read more here.
Keywords: function based; method; discretization; lyapunov function ... See more keywords
Manipulator Trajectory Planning Based on Clustering Curve Discretization and B‐Spline
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DOI: 10.1002/rob.22485
Abstract: In addressing the welding trajectory planning problem for a six‐axis robot under visual guidance, a method based on clustering and isometric image trajectory curve discretization is proposed to enhance welding trajectory precision and improve welding… read more here.
Keywords: method; trajectory planning; discretization; trajectory ... See more keywords
On Foundational Discretization Barriers in STFT Phase Retrieval
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DOI: 10.1007/s00041-022-09935-5
Abstract: We prove that there exists no window function $$g \in {L^2(\mathbb {R})}$$ g ∈ L 2 ( R ) and no lattice $${\mathcal {L}} \subset \mathbb {R}^2$$ L ⊂ R 2 such that every $$f… read more here.
Keywords: stft phase; discretization; mathbb; phase retrieval ... See more keywords
Neural network-based discretization of nonlinear differential equations
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DOI: 10.1007/s00521-017-3249-4
Abstract: This article presents a discretization scheme for a nonlinear differential equation using a regression analysis technique. As with many other numerical solvers such as finite difference methods and finite element methods, the presented scheme discretizes… read more here.
Keywords: equation; network based; discretization; nonlinear differential ... See more keywords
Finite element discretization of local minimization schemes for rate-independent evolutions
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DOI: 10.1007/s10092-018-0301-4
Abstract: This paper is concerned with a space-time discretization of a rate-independent evolution governed by a non-smooth dissipation and a non-convex energy functional. For the time discretization, we apply the local minimization scheme introduced in Efendiev… read more here.
Keywords: time; local minimization; discretization; rate independent ... See more keywords
A Convergent Lagrangian Discretization for a Nonlinear Fourth-Order Equation
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DOI: 10.1007/s10208-015-9284-6
Abstract: A fully discrete Lagrangian scheme for numerical solution of the nonlinear fourth-order DLSS equation in one space dimension is analyzed. The discretization is based on the equation’s gradient flow structure in the $$L^2$$L2-Wasserstein metric. By… read more here.
Keywords: convergent lagrangian; discretization; fourth order; equation ... See more keywords
Structure-preserving discretization of the chemical master equation
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DOI: 10.1007/s10543-017-0651-3
Abstract: The chemical master equation is a differential equation to model stochastic reaction systems. Its solutions are nonnegative and $$\ell ^1$$ℓ1-contractive which is inherently related to their interpretation as probability densities. In this note, numerical discretizations… read more here.
Keywords: equation; master equation; chemical master; discretization ... See more keywords
Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces
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DOI: 10.1007/s10596-018-9760-6
Abstract: Multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces is described by advection diffusion equations with nonlinear parameters of relative permeability and capillary pressures. The conventional numerical method employs a… read more here.
Keywords: phase; discretization; phase flow; viscous gravitational ... See more keywords
High-fidelity Sound Propagation in a Varying 3D Atmosphere
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DOI: 10.1007/s10915-018-0751-5
Abstract: A stable and high-order accurate upwind finite difference discretization of the 3D linearized Euler equations is presented. The discretization allows point sources, a varying atmosphere and curved topography. The advective terms are discretized using recently… read more here.
Keywords: fidelity sound; discretization; sound propagation; varying atmosphere ... See more keywords