Results 11 to 20 of about 198 (142)
Embedded Trefftz discontinuous Galerkin methods
International Journal for Numerical Methods in Engineering, Volume 124, Issue 17, Page 3637-3661, 15 September 2023., 2023 Abstract In Trefftz discontinuous Galerkin methods a partial differential equation is discretized using discontinuous shape functions that are chosen to be elementwise in the kernel of the corresponding differential operator. We propose a new variant, the embedded Trefftz discontinuous Galerkin method, which is the Galerkin projection of an underlying ...
Christoph Lehrenfeld, Paul Stocker
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International Journal for Numerical Methods in Engineering, Volume 124, Issue 17, Page 3603-3636, 15 September 2023., 2023 Summary A general technique to develop arbitrary‐sided polygonal elements based on the scaled boundary finite element method is presented. Shape functions are derived from the solution of the Poisson's equation in contrast to the well‐known Laplace shape functions that are only linearly complete.
B Xiao +5 more
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Energies, 2021 The intensification of heat transfer using two-phase boiling flow in mini-channels is widely used to dissipate the high heat fluxes in miniaturized electronic devices.
Magdalena Piasecka +3 more
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A mixed finite element formulation for elastoplasticity
International Journal for Numerical Methods in Engineering, Volume 123, Issue 21, Page 5346-5368, 15 November 2022., 2022 Abstract The present article, provides a novel mixed finite element formulation for elastoplasticity which is suitable for the discretization of thin‐walled structures using highly anisotropic volume elements. We present a thermodynamically consistent framework for the modeling of elastoplastic stress response, where dissipative effects are considered ...
Michaela Nagler +2 more
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Trefftz Displacement Potential Function Method for Solving Elastic Half-Space Problems [PDF]
Civil Engineering and Architecture, 2021 The elastic half-space problem has been solved previously using Boussinesq, Papkovich, Love, and Green and Zerna, potential function methods. In this work, the Trefftz displacement potential function method is used to obtain the stress and displacement fields in an elastic half-space subjected to boundary loads. Point load and various distributed loads
Charles Chinwuba Ike +3 more
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Development of a two-dimensional mathematical model of flow boiling heat transfer in micro- and minichannels [PDF]
EPJ Web of Conferences, 2022 The paper concerns flow boiling heat transfer in micro- and minichannels. In the mathematical model, the steady state heat transfer process in a single asymmetrically heated minichannel was considered.
Hożejowska Sylwia +2 more
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Localized MFS for three‐dimensional acoustic inverse problems on complicated domains
International Journal of Mechanical System Dynamics, Volume 2, Issue 1, Page 143-152, March 2022., 2022 Abstract This paper proposes a semi‐analytical and local meshless collocation method, the localized method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic inverse problems in complex domains. The proposed approach is a recently developed numerical scheme with the potential of being mathematically simple, numerically accurate,
Zengtao Chen +3 more
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Energy‐Based Aerodynamic Analysis on the Blended‐Wing‐Body Aircraft with Boundary Layer Ingestion
International Journal of Aerospace Engineering, Volume 2022, Issue 1, 2022., 2022 This study is aimed at evaluating the energy saving benefit and its limitation of the boundary layer ingestion (BLI) applied to a transonic blended‐wing‐body (BWB) aircraft. The power balance method is adopted in the aerodynamic performance analysis of the aircraft.
Wenyuan Zhao +3 more
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For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
Communications on Pure and Applied Mathematics, Volume 74, Issue 10, Page 2025-2063, October 2021., 2021 It is well‐known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation grows exponentially through a sequence of real frequencies tending to infinity. In this paper we show that, even in the presence of the strongest possible trapping, if a set of frequencies of arbitrarily small ...
David Lafontaine +2 more
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Ultra-weak variational formulation for heterogeneous Maxwell problem in the context of high performance computing [PDF]
ESAIM: Proceedings and Surveys, 2023 Electromagnetic simulations on large domains require a huge memory consumption. Domain decomposition methods, based on Trefftz methods, could be an answer to this issue. In this paper, we associate to heterogeneous three-dimensional Maxwell equations one
Pernet Sebastien +2 more
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