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The mortar finite element method for cardiac reaction-diffusion models

Micol Pennacchio

Open publisher page 3 citations

Abstract

We dealwith theproblemmodelingtheelectrical activity of the heart and a non–conforming non–overlapping domain decomposition method, based on the Mortar FEM, is proposed. The aim is to devise a numerical technique that allows real time solution introducing adaptivity, but maintaining the easiness of implementation and the properties of conforming methods in each subdomain. The numerical tests show how the method works and its efficiency.

About this research paper

What this paper is about

We dealwith theproblemmodelingtheelectrical activity of the heart and a non–conforming non–overlapping domain decomposition method, based on the Mortar FEM, is proposed. The aim is to devise a numerical technique that allows real time solution introducing adaptivity, but maintaining the easiness of implementation and the properties of conforming methods in each subdomain. The numerical tests show how the method works and its efficiency.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We dealwith theproblemmodelingtheelectrical activity of the heart and a non–conforming non–overlapping domain decomposition method, based on the Mortar FEM, is proposed. The aim is to devise a numerical technique that allows real time solution introducing adaptivity, but maintaining the easiness of implementation and the properties of conforming methods in each subdomain. The numerical tests show how the method works and its efficiency.

Key concepts: Finite element method, Mortar, Domain decomposition methods, Mortar methods, Diffusion, Computer science, Decomposition, Domain (mathematical analysis)

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