Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385355989> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4385355989 abstract "Flexural wave scattering plays a crucial role in optimizing and designing structures for various engineering applications. Mathematically, the flexural wave scattering problem on an infinite thin plate is described by a fourth-order plate-wave equation on an unbounded domain, making it challenging to solve directly using the regular linear finite element method (FEM). In this paper, we propose two numerical methods, the interior penalty FEM (IP-FEM) and the boundary penalty FEM (BP-FEM) with a transparent boundary condition (TBC), to study flexural wave scattering by an arbitrary-shaped cavity on an infinite thin plate. Both methods decompose the fourth-order plate-wave equation into the Helmholtz and modified Helmholtz equations with coupled conditions at the cavity boundary. A TBC is then constructed based on the analytical solutions of the Helmholtz and modified Helmholtz equations in the exterior domain, effectively truncating the unbounded domain into a bounded one. Using linear triangular elements, the IP-FEM and BP-FEM successfully suppress the oscillation of the bending moment of the solution at the cavity boundary, demonstrating superior stability and accuracy compared to the regular linear FEM when applied to this problem." @default.
- W4385355989 created "2023-07-29" @default.
- W4385355989 creator A5047126984 @default.
- W4385355989 creator A5070047356 @default.
- W4385355989 date "2023-07-25" @default.
- W4385355989 modified "2023-09-26" @default.
- W4385355989 title "Numerical solution of the cavity scattering problem for flexural waves on thin plates: linear finite element methods" @default.
- W4385355989 doi "https://doi.org/10.48550/arxiv.2307.13786" @default.
- W4385355989 hasPublicationYear "2023" @default.
- W4385355989 type Work @default.
- W4385355989 citedByCount "0" @default.
- W4385355989 crossrefType "posted-content" @default.
- W4385355989 hasAuthorship W4385355989A5047126984 @default.
- W4385355989 hasAuthorship W4385355989A5070047356 @default.
- W4385355989 hasBestOaLocation W43853559891 @default.
- W4385355989 hasConcept C120665830 @default.
- W4385355989 hasConcept C121332964 @default.
- W4385355989 hasConcept C134306372 @default.
- W4385355989 hasConcept C135628077 @default.
- W4385355989 hasConcept C178405089 @default.
- W4385355989 hasConcept C182310444 @default.
- W4385355989 hasConcept C18591234 @default.
- W4385355989 hasConcept C191486275 @default.
- W4385355989 hasConcept C27592594 @default.
- W4385355989 hasConcept C33923547 @default.
- W4385355989 hasConcept C62520636 @default.
- W4385355989 hasConcept C63632240 @default.
- W4385355989 hasConcept C97355855 @default.
- W4385355989 hasConceptScore W4385355989C120665830 @default.
- W4385355989 hasConceptScore W4385355989C121332964 @default.
- W4385355989 hasConceptScore W4385355989C134306372 @default.
- W4385355989 hasConceptScore W4385355989C135628077 @default.
- W4385355989 hasConceptScore W4385355989C178405089 @default.
- W4385355989 hasConceptScore W4385355989C182310444 @default.
- W4385355989 hasConceptScore W4385355989C18591234 @default.
- W4385355989 hasConceptScore W4385355989C191486275 @default.
- W4385355989 hasConceptScore W4385355989C27592594 @default.
- W4385355989 hasConceptScore W4385355989C33923547 @default.
- W4385355989 hasConceptScore W4385355989C62520636 @default.
- W4385355989 hasConceptScore W4385355989C63632240 @default.
- W4385355989 hasConceptScore W4385355989C97355855 @default.
- W4385355989 hasLocation W43853559891 @default.
- W4385355989 hasOpenAccess W4385355989 @default.
- W4385355989 hasPrimaryLocation W43853559891 @default.
- W4385355989 hasRelatedWork W1143945821 @default.
- W4385355989 hasRelatedWork W2076674794 @default.
- W4385355989 hasRelatedWork W2349099774 @default.
- W4385355989 hasRelatedWork W2378900302 @default.
- W4385355989 hasRelatedWork W2383680379 @default.
- W4385355989 hasRelatedWork W2385931563 @default.
- W4385355989 hasRelatedWork W2394117945 @default.
- W4385355989 hasRelatedWork W2548544005 @default.
- W4385355989 hasRelatedWork W2904982713 @default.
- W4385355989 hasRelatedWork W2988463430 @default.
- W4385355989 isParatext "false" @default.
- W4385355989 isRetracted "false" @default.
- W4385355989 workType "article" @default.