Work

Cut Finite Element Methods for Coupled Bulk-Surface Problems

Year: 2014

Type: preprint

Abstract: We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and $L^2$ norms of the error. Using stabilization terms we show that the resulting algebraic system of equations has a similar condition number as a standard fitted finite element method. Finally, we present a numerical example illustrating the accuracy and the robustness of our approach.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1403.6580

Authors: Burman, Erik, Hansbo, Peter, Larson, Mats G., Zahedi, Sara

Institutions: University College London, Jönköping University, Umeå University, KTH Royal Institute of Technology

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Stiftelsen för Strategisk Forskning, Vetenskapsrådet, Umeå Universitet, Engineering and Physical Sciences Research Council

Awards: Finite element methods on surfaces: surface diffusion, surface tension, elastic shells, G1424625092, G2630536429, G3413367412, Skurna Finita Element, Geometri och Design Optimering, G4642686075, G5648043610, Computational methods for multiphysics interface problems, G6674757307, G7604383974, Finite Element Methods for Partial Differential Equations on Evolving Surfaces: Shells and Membranes, Convection-Diffusion, and Surface Evolution

OpenAlex ID: W2963274910

Cites: 7

Cited by: 2

Related to: 20