We present a space–time virtual element method for the discretization of the heat equation, which is defined on general prismatic meshes and variable degrees of accuracy. Strategies to handle efficiently the space–time mesh structure are discussed. We perform convergence tests for the h- and hp-versions of the method in case of smooth and singular solutions, and test space–time adaptive mesh refinements driven by a residual-type error indicator.

Gómez, S., Mascotto, L., Perugia, I. (2024). Design and performance of a space–time virtual element method for the heat equation on prismatic meshes. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 418(Part A (1 January 2024)) [10.1016/j.cma.2023.116491].

Design and performance of a space–time virtual element method for the heat equation on prismatic meshes

Gómez, Sergio;Mascotto, Lorenzo
;
2024

Abstract

We present a space–time virtual element method for the discretization of the heat equation, which is defined on general prismatic meshes and variable degrees of accuracy. Strategies to handle efficiently the space–time mesh structure are discussed. We perform convergence tests for the h- and hp-versions of the method in case of smooth and singular solutions, and test space–time adaptive mesh refinements driven by a residual-type error indicator.
Articolo in rivista - Articolo scientifico
Heat equation; Polytopic meshes; Space–time methods; Virtual element methods;
English
6-ott-2023
2024
418
Part A (1 January 2024)
116491
none
Gómez, S., Mascotto, L., Perugia, I. (2024). Design and performance of a space–time virtual element method for the heat equation on prismatic meshes. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 418(Part A (1 January 2024)) [10.1016/j.cma.2023.116491].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/441998
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