Work

Nitsche extended finite element method of a Ventcel transmission problem with discontinuities at the interface

Year: 2025

Type: article

Abstract: The objective of this work is to study a diffusion equation with non-standard transmission conditions, which include discontinuities and Ventcel boundary conditions at the interface. In order to handle jumps and means of the flux and the test-functions, we use broken Sobolev spaces. We present a Nitsche type finite element approach and compare it with a discontinuous Galerkin method. We establish consistency, stability and a priori error estimates, and verify them numerically.

Source: ESAIM Mathematical Modelling and Numerical Analysis

DOI: 10.1051/m2an/2025014

Authors: Daniela Capatina, Fabien Caubet, Marc Dambrine, Rodrigo Zelada

Institutions: Centre National de la Recherche Scientifique, Université de Pau et des Pays de l'Adour, Laboratoire de Mathématiques et de leurs Applications, University of Chile

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funders: Agenția Națională pentru Cercetare și Dezvoltare, Agencia Nacional de Investigación y Desarrollo, CHIST-ERA